Base 8: Iteration Frequencies: Cycle Start

Blog: The First Pixel: Kaprekar's Constant 6174

Radix Character Encoding
01234567

Color Key
OrangeFixed Pointnumber that becomes itself after one iteration
GreenFinal Numbersall numbers eventually reached, from all cycles
PurpleCycle Startiterations include entry into cycle, assuming it repeats
RedFull Cycleiterations include entire cycle, proving it repeats
BlueStart Numberssubset (optimization) of all numbers; minimal for full coverage
GrayNo Resultsany calculation that has no results

Digits 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100
Average Steps
Cycle Start
0.88 step
avg
1.25 step
avg
2.83 step
avg
2.28 step
avg
3.41 step
avg
8.17 step
avg
3.63 step
avg
6.53 step
avg
6.15 step
avg
5.30 step
avg
4.75 step
avg
4.40 step
avg
4.67 step
avg
4.37 step
avg
5.36 step
avg
4.70 step
avg
6.92 step
avg
4.02 step
avg
7.46 step
avg
3.85 step
avg
6.15 step
avg
4.17 step
avg
5.84 step
avg
4.96 step
avg
5.12 step
avg
5.35 step
avg
4.68 step
avg
4.91 step
avg
4.73 step
avg
4.81 step
avg
5.01 step
avg
4.42 step
avg
5.18 step
avg
4.23 step
avg
4.82 step
avg
4.31 step
avg
4.70 step
avg
4.51 step
avg
4.42 step
avg
4.63 step
avg
4.29 step
avg
4.42 step
avg
4.31 step
avg
4.36 step
avg
4.44 step
avg
4.17 step
avg
4.48 step
avg
4.08 step
avg
4.35 step
avg
4.10 step
avg
4.29 step
avg
4.20 step
avg
4.13 step
avg
4.25 step
avg
4.05 step
avg
4.15 step
avg
4.07 step
avg
4.11 step
avg
4.15 step
avg
3.99 step
avg
4.17 step
avg
3.94 step
avg
4.09 step
avg
3.96 step
avg
4.06 step
avg
4.03 step
avg
3.95 step
avg
4.05 step
avg
3.92 step
avg
3.99 step
avg
3.93 step
avg
3.97 step
avg
3.99 step
avg
3.88 step
avg
3.99 step
avg
3.85 step
avg
3.95 step
avg
3.86 step
avg
3.92 step
avg
3.91 step
avg
3.84 step
avg
3.92 step
avg
3.82 step
avg
3.88 step
avg
3.83 step
avg
3.87 step
avg
3.87 step
avg
3.80 step
avg
3.88 step
avg
3.78 step
avg
3.85 step
avg
3.79 step
avg
3.83 step
avg
3.83 step
avg
3.77 step
avg
3.83 step
avg
3.75 step
avg
3.81 step
avg
3.76 step
avg
3.80 step
avg
Step Frequency
Cycle Start
0s:
1s:


0s:
1s:
2s:

21×
12×
0s:
1s:
2s:
3s:
4s:
5s:

27×
18×
34×
26×
14×
0s:
1s:
2s:
3s:
4s:
5s:

105×
103×
63×
38×
20×
0s:
1s:
2s:
3s:
4s:
5s:
6s:
7s:
8s:

189×
174×
80×
130×
64×
56×
38×
60×
0s:
1s:
2s:
3s:
4s:
5s:
6s:
7s:
8s:
9s:
10s:
11s:
12s:
13s:
14s:
15s:
16s:

91×
106×
98×
100×
140×
100×
100×
166×
96×
141×
120×
115×
143×
123×
68×

0s:
1s:
2s:
3s:
4s:
5s:
6s:
7s:
8s:
9s:

481×
624×
650×
638×
410×
298×
260×
56×
14×
0s:
1s:
2s:
3s:
4s:
5s:
6s:
7s:
8s:
9s:
10s:
11s:
12s:
13s:
14s:
15s:

166×
542×
906×
693×
526×
498×
667×
536×
566×
353×
235×
326×
304×
76×
40×
0s:
1s:
2s:
3s:
4s:
5s:
6s:
7s:
8s:
9s:
10s:
11s:
12s:
13s:
14s:
15s:

711×
1,628×
1,450×
1,244×
444×
696×
804×
888×
1,152×
798×
582×
492×
390×
138×
22×
0s:
1s:
2s:
3s:
4s:
5s:
6s:
7s:
8s:
9s:
10s:
11s:
12s:
13s:
14s:
15s:
16s:

363×
2,278×
3,318×
3,277×
2,859×
2,185×
1,359×
1,301×
689×
483×
313×
496×
272×
122×
60×
72×
0s:
1s:
2s:
3s:
4s:
5s:
6s:
7s:
8s:
9s:
10s:
11s:
12s:
13s:

795×
3,714×
7,096×
5,066×
4,684×
4,002×
2,700×
1,524×
854×
596×
430×
310×
52×
0s:
1s:
2s:
3s:
4s:
5s:
6s:
7s:
8s:
9s:
10s:
11s:
12s:
13s:

1,157×
8,040×
12,202×
9,978×
6,426×
4,947×
2,449×
1,729×
1,499×
779×
572×
497×
112×
0s:
1s:
2s:
3s:
4s:
5s:
6s:
7s:
8s:
9s:
10s:
11s:
12s:
13s:

1,125×
9,186×
17,696×
12,938×
10,262×
10,076×
8,680×
4,938×
1,506×
502×
356×
224×
30×
0s:
1s:
2s:
3s:
4s:
5s:
6s:
7s:
8s:
9s:
10s:
11s:
12s:
13s:
14s:

1,321×
17,646×
26,972×
23,268×
19,610×
11,401×
6,019×
4,833×
3,033×
1,121×
577×
244×
204×
30×
0s:
1s:
2s:
3s:
4s:
5s:
6s:
7s:
8s:
9s:
10s:
11s:
12s:
13s:
14s:
15s:

1,227×
15,250×
33,366×
26,316×
21,472×
18,844×
17,480×
14,030×
12,264×
5,534×
2,788×
868×
854×
206×
44×
0s:
1s:
2s:
3s:
4s:
5s:
6s:
7s:
8s:
9s:
10s:
11s:
12s:
13s:
14s:

1,836×
36,886×
57,134×
41,063×
32,323×
26,293×
17,637×
11,166×
8,262×
6,417×
3,587×
1,638×
632×
282×
0s:
1s:
2s:
3s:
4s:
5s:
6s:
7s:
8s:
9s:
10s:
11s:
12s:
13s:
14s:
15s:
16s:
17s:
18s:

1,183×
17,704×
44,362×
35,722×
32,302×
31,950×
35,008×
35,010×
34,788×
28,290×
19,722×
15,212×
6,722×
4,564×
1,612×
1,230×
494×
228×
0s:
1s:
2s:
3s:
4s:
5s:
6s:
7s:
8s:
9s:
10s:
11s:
12s:
13s:
14s:

3,403×
83,902×
130,954×
104,735×
68,761×
46,453×
23,285×
12,053×
5,143×
771×
543×
332×
328×
36×
0s:
1s:
2s:
3s:
4s:
5s:
6s:
7s:
8s:
9s:
10s:
11s:
12s:
13s:
14s:
15s:
16s:
17s:
18s:
19s:

1,359×
27,386×
79,744×
63,734×
63,158×
58,094×
56,974×
58,686×
57,300×
46,214×
34,252×
38,522×
33,064×
19,186×
13,480×
5,036×
932×
450×
228×
0s:
1s:
2s:
3s:
4s:
5s:
6s:
7s:
8s:
9s:
10s:
11s:
12s:
13s:

5,159×
167,282×
270,392×
196,366×
118,932×
69,913×
26,721×
21,886×
7,600×
1,971×
893×
738×
176×
0s:
1s:
2s:
3s:
4s:
5s:
6s:
7s:
8s:
9s:
10s:
11s:
12s:
13s:
14s:
15s:
16s:
17s:
18s:
19s:

2,833×
67,534×
199,658×
169,016×
146,222×
133,390×
106,814×
108,924×
79,144×
53,906×
31,724×
31,090×
25,752×
13,850×
7,450×
5,624×
1,006×
80×
22×
0s:
1s:
2s:
3s:
4s:
5s:
6s:
7s:
8s:
9s:
10s:
11s:
12s:
13s:
14s:
15s:

6,759×
279,058×
449,438×
300,842×
198,610×
143,245×
69,187×
45,313×
27,761×
15,601×
16,243×
7,238×
1,380×
84×
20×
0s:
1s:
2s:
3s:
4s:
5s:
6s:
7s:
8s:
9s:
10s:
11s:
12s:
13s:
14s:
15s:
16s:
17s:
18s:

4,487×
137,916×
385,374×
334,192×
244,440×
189,902×
182,790×
183,718×
115,518×
81,476×
65,468×
50,136×
31,906×
15,854×
7,592×
4,582×
428×
20×
0s:
1s:
2s:
3s:
4s:
5s:
6s:
7s:
8s:
9s:
10s:
11s:
12s:
13s:
14s:
15s:
16s:
17s:
18s:

8,014×
432,248×
670,010×
397,239×
259,961×
224,933×
156,167×
130,200×
117,840×
83,213×
52,331×
35,684×
16,128×
18,696×
12,292×
11,242×
2,608×
768×
0s:
1s:
2s:
3s:
4s:
5s:
6s:
7s:
8s:
9s:
10s:
11s:
12s:
13s:
14s:
15s:
16s:
17s:
18s:

7,847×
291,276×
778,960×
673,162×
449,318×
327,944×
282,056×
213,882×
116,430×
77,460×
41,462×
32,810×
29,240×
18,636×
13,608×
9,104×
2,310×
350×
0s:
1s:
2s:
3s:
4s:
5s:
6s:
7s:
8s:
9s:
10s:
11s:
12s:
13s:
14s:
15s:
16s:
17s:

10,203×
680,204×
990,930×
611,011×
384,357×
301,425×
270,781×
262,017×
209,675×
141,407×
118,945×
137,792×
88,750×
37,988×
19,798×
5,832×
932×
0s:
1s:
2s:
3s:
4s:
5s:
6s:
7s:
8s:
9s:
10s:
11s:
12s:
13s:
14s:
15s:
16s:
17s:

12,299×
549,454×
1,439,644×
1,156,510×
743,522×
509,766×
316,816×
272,732×
152,382×
89,060×
48,100×
29,204×
30,126×
17,912×
6,922×
4,920×
246×
0s:
1s:
2s:
3s:
4s:
5s:
6s:
7s:
8s:
9s:
10s:
11s:
12s:
13s:
14s:
15s:
16s:

14,083×
1,109,878×
1,678,286×
1,024,424×
696,140×
551,171×
462,959×
403,432×
257,244×
144,223×
121,107×
131,276×
88,686×
26,580×
11,378×
3,652×
0s:
1s:
2s:
3s:
4s:
5s:
6s:
7s:
8s:
9s:
10s:
11s:
12s:
13s:
14s:
15s:
16s:
17s:

16,815×
908,890×
2,241,156×
1,715,000×
1,079,546×
784,290×
519,196×
419,302×
249,732×
139,906×
113,948×
79,964×
48,584×
14,248×
9,874×
6,328×
900×
0s:
1s:
2s:
3s:
4s:
5s:
6s:
7s:
8s:
9s:
10s:
11s:
12s:
13s:
14s:
15s:
16s:
17s:
18s:

18,383×
1,742,160×
2,656,954×
1,611,944×
1,039,428×
783,119×
711,567×
629,895×
368,171×
227,785×
178,447×
179,798×
91,438×
36,956×
10,828×
6,708×
1,868×
22×
0s:
1s:
2s:
3s:
4s:
5s:
6s:
7s:
8s:
9s:
10s:
11s:
12s:
13s:
14s:
15s:
16s:
17s:
18s:
19s:

22,255×
1,393,044×
3,324,602×
2,312,402×
1,433,668×
1,165,024×
842,298×
722,202×
482,646×
330,146×
199,704×
102,972×
77,808×
75,646×
49,070×
52,340×
26,598×
7,092×
738×
0s:
1s:
2s:
3s:
4s:
5s:
6s:
7s:
8s:
9s:
10s:
11s:
12s:
13s:
14s:
15s:
16s:
17s:

25,008×
2,711,198×
4,274,672×
2,790,539×
1,699,695×
1,249,905×
962,683×
696,502×
384,900×
208,393×
131,491×
107,322×
88,242×
26,178×
15,286×
8,510×
412×
0s:
1s:
2s:
3s:
4s:
5s:
6s:
7s:
8s:
9s:
10s:
11s:
12s:
13s:
14s:
15s:
16s:
17s:
18s:
19s:

29,539×
2,157,918×
4,920,656×
3,233,056×
1,846,832×
1,452,122×
1,207,356×
1,166,328×
809,986×
453,604×
381,702×
400,600×
329,078×
156,278×
59,818×
25,618×
12,036×
908×
124×
0s:
1s:
2s:
3s:
4s:
5s:
6s:
7s:
8s:
9s:
10s:
11s:
12s:
13s:
14s:
15s:
16s:

32,671×
4,121,366×
6,565,386×
4,247,185×
2,531,079×
1,814,995×
1,159,213×
901,291×
515,061×
247,495×
118,727×
106,102×
78,286×
27,066×
15,876×
140×
0s:
1s:
2s:
3s:
4s:
5s:
6s:
7s:
8s:
9s:
10s:
11s:
12s:
13s:
14s:
15s:
16s:
17s:

39,613×
3,383,436×
7,510,348×
4,874,422×
2,898,552×
2,202,280×
1,890,002×
1,605,518×
930,622×
484,492×
328,270×
369,006×
276,926×
125,852×
45,990×
12,694×
304×
0s:
1s:
2s:
3s:
4s:
5s:
6s:
7s:
8s:
9s:
10s:
11s:
12s:
13s:
14s:
15s:
16s:
17s:

41,319×
5,967,200×
9,436,306×
5,794,220×
3,444,686×
2,574,265×
1,804,487×
1,224,020×
715,260×
395,627×
352,591×
247,906×
173,436×
34,856×
16,012×
1,750×
172×
0s:
1s:
2s:
3s:
4s:
5s:
6s:
7s:
8s:
9s:
10s:
11s:
12s:
13s:
14s:
15s:
16s:
17s:
18s:

51,263×
5,102,244×
11,082,332×
7,074,536×
3,982,428×
2,915,426×
2,535,802×
2,219,594×
1,271,592×
662,832×
476,836×
438,152×
355,604×
110,048×
32,480×
8,246×
1,130×
22×
0s:
1s:
2s:
3s:
4s:
5s:
6s:
7s:
8s:
9s:
10s:
11s:
12s:
13s:
14s:
15s:
16s:
17s:
18s:
19s:
20s:
21s:

51,199×
8,417,888×
13,050,700×
7,599,604×
4,294,022×
3,626,837×
2,714,227×
2,097,183×
1,266,821×
668,233×
463,699×
283,944×
204,762×
200,164×
146,172×
165,044×
86,056×
30,228×
7,638×
4,598×
600×
0s:
1s:
2s:
3s:
4s:
5s:
6s:
7s:
8s:
9s:
10s:
11s:
12s:
13s:
14s:
15s:
16s:
17s:
18s:

66,179×
7,613,712×
16,212,672×
10,551,230×
5,835,540×
4,289,356×
3,369,392×
2,486,234×
1,414,952×
630,696×
337,298×
323,096×
271,680×
78,560×
29,214×
14,038×
808×
22×
0s:
1s:
2s:
3s:
4s:
5s:
6s:
7s:
8s:
9s:
10s:
11s:
12s:
13s:
14s:
15s:
16s:
17s:

63,430×
11,794,628×
18,134,320×
10,181,383×
5,350,803×
4,454,295×
3,444,691×
2,967,656×
1,993,114×
1,124,409×
926,819×
1,096,984×
766,042×
413,478×
146,372×
27,548×
5,526×
0s:
1s:
2s:
3s:
4s:
5s:
6s:
7s:
8s:
9s:
10s:
11s:
12s:
13s:
14s:
15s:
16s:
17s:

83,847×
11,121,282×
23,054,650×
14,530,306×
8,033,448×
5,832,548×
4,206,150×
3,201,046×
1,699,598×
785,972×
371,974×
318,014×
270,098×
82,284×
27,300×
9,312×
1,242×
0s:
1s:
2s:
3s:
4s:
5s:
6s:
7s:
8s:
9s:
10s:
11s:
12s:
13s:
14s:
15s:
16s:
17s:
18s:

79,325×
16,471,268×
25,296,242×
14,424,851×
7,889,707×
6,308,643×
4,823,987×
4,036,725×
2,316,427×
1,213,153×
988,015×
942,398×
706,088×
303,654×
73,450×
22,110×
4,434×
106×
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1s:
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17s:

103,855×
15,682,334×
31,774,974×
18,862,912×
10,381,600×
7,829,090×
5,749,560×
3,942,958×
2,375,014×
1,130,296×
799,520×
647,418×
457,266×
112,192×
24,826×
10,188×
396×
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96,625×
22,593,620×
34,717,380×
19,444,322×
10,571,448×
8,273,733×
6,552,191×
5,323,000×
3,079,566×
1,606,387×
1,153,063×
1,179,278×
748,728×
305,586×
76,964×
41,940×
9,522×
1,488×
258×
0s:
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22s:

126,723×
21,596,618×
42,211,288×
24,282,960×
12,700,028×
10,270,342×
7,770,416×
5,784,002×
3,332,282×
1,598,082×
1,042,396×
788,268×
611,892×
503,526×
373,730×
438,468×
230,610×
87,120×
18,670×
13,482×
2,742×
914×
0s:
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18s:

118,283×
30,761,468×
47,555,476×
27,042,026×
14,987,388×
11,351,685×
8,501,445×
6,211,541×
3,414,345×
1,547,995×
907,271×
831,944×
619,838×
185,970×
63,164×
41,098×
2,122×
20×
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153,735×
29,445,292×
56,261,070×
31,498,956×
15,579,464×
12,051,642×
9,352,198×
7,791,508×
5,118,356×
2,561,672×
1,944,768×
2,215,756×
1,970,952×
835,098×
269,068×
46,440×
4,406×
178×
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143,256×
41,342,796×
64,205,106×
35,949,601×
19,832,899×
14,734,291×
10,456,383×
7,644,898×
4,179,204×
1,943,163×
898,615×
810,102×
581,130×
164,306×
41,222×
730×
22×
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185,797×
39,906,644×
74,834,516×
41,330,244×
20,813,898×
16,108,564×
12,863,516×
10,313,538×
6,015,100×
2,870,396×
1,974,710×
2,163,276×
1,493,166×
696,900×
227,828×
96,832×
19,658×
2,816×
0s:
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171,151×
54,632,504×
83,999,640×
45,928,953×
24,599,201×
19,591,195×
13,666,065×
9,160,235×
5,194,503×
2,677,699×
1,837,655×
1,678,704×
958,310×
218,160×
60,350×
11,260×
250×
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221,411×
53,327,950×
98,101,930×
53,588,728×
26,604,550×
20,428,122×
16,210,460×
13,377,278×
7,393,906×
3,568,266×
2,415,402×
2,509,482×
1,836,956×
782,262×
224,392×
66,828×
12,558×
3,448×
158×
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23s:

202,759×
71,279,060×
108,112,280×
57,594,014×
30,185,548×
24,716,913×
17,842,403×
11,923,320×
7,004,050×
3,443,179×
2,044,341×
1,733,232×
1,404,048×
1,148,102×
776,350×
869,304×
592,550×
230,484×
29,572×
9,024×
3,116×
4,928×
868×
0s:
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17s:

263,279×
70,642,270×
128,562,184×
70,980,422×
35,678,954×
27,198,964×
20,414,510×
15,143,194×
8,142,512×
3,438,196×
2,024,844×
1,769,808×
1,312,748×
449,436×
145,916×
37,788×
1,894×
0s:
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19s:

238,787×
92,196,368×
138,254,136×
72,066,156×
36,477,636×
28,128,139×
21,222,875×
16,732,883×
11,332,777×
5,147,781×
3,784,355×
4,782,086×
3,763,294×
1,444,338×
501,502×
156,170×
35,692×
5,498×
306×
0s:
1s:
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310,535×
92,566,786×
165,878,992×
90,954,776×
45,672,352×
34,475,570×
24,586,780×
18,235,142×
9,356,544×
4,114,054×
1,792,106×
1,957,630×
1,321,876×
494,460×
64,180×
13,930×
438×
0s:
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281,032×
118,669,800×
177,724,318×
92,268,545×
46,392,625×
36,463,957×
27,779,309×
21,552,854×
12,638,124×
5,700,869×
3,921,325×
4,810,328×
3,168,288×
1,242,014×
436,620×
156,704×
59,570×
4,388×
0s:
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363,131×
119,528,838×
210,302,422×
111,697,146×
55,849,586×
43,399,078×
31,609,974×
21,517,656×
11,500,908×
5,737,502×
3,960,316×
3,145,696×
1,902,288×
566,970×
103,424×
28,466×
2,790×
0s:
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327,275×
151,345,026×
225,140,196×
116,601,201×
58,196,165×
45,483,663×
34,461,805×
26,687,825×
14,774,833×
7,275,341×
4,752,337×
5,376,804×
3,693,960×
1,480,330×
396,738×
85,126×
81,896×
24,818×
4,530×
690×
0s:
1s:
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24s:

421,175×
152,661,694×
263,621,782×
136,257,620×
66,871,342×
52,775,558×
39,037,278×
27,191,254×
15,711,232×
6,375,354×
3,721,576×
3,786,992×
3,074,586×
2,191,322×
1,574,642×
1,686,280×
1,130,808×
484,922×
125,144×
60,606×
19,670×
6,130×
2,122×
350×
0s:
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380,705×
191,815,164×
285,132,098×
150,207,778×
75,661,980×
58,501,377×
42,072,937×
30,441,052×
16,797,900×
6,691,319×
4,144,805×
4,082,578×
2,508,186×
908,936×
217,016×
75,916×
7,238×
1,200×
22×
0s:
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19s:

486,423×
193,572,766×
328,365,462×
166,847,970×
78,782,006×
60,171,458×
45,180,546×
35,982,912×
22,591,622×
10,095,530×
6,515,032×
8,867,008×
7,682,548×
3,125,328×
915,952×
210,576×
40,898×
9,814×
52×
0s:
1s:
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19s:

440,451×
241,267,864×
357,463,210×
186,001,026×
94,302,686×
72,736,269×
50,716,959×
37,072,661×
18,898,051×
8,011,767×
4,306,665×
4,033,322×
2,504,694×
881,006×
221,354×
28,156×
8,938×
2,146×
22×
0s:
1s:
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21s:

560,409×
244,088,026×
409,054,968×
207,728,660×
98,460,606×
75,598,238×
56,903,050×
44,084,676×
25,119,982×
10,948,766×
7,095,590×
9,010,626×
6,586,316×
2,485,242×
651,626×
248,170×
107,010×
35,400×
5,880×
1,446×
32×
0s:
1s:
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19s:

505,888×
300,719,552×
442,492,830×
223,465,845×
112,540,959×
89,628,431×
64,130,707×
42,250,530×
23,493,800×
10,843,377×
7,710,069×
6,760,658×
3,829,868×
1,194,430×
185,986×
120,990×
13,806×
2,868×
110×
0s:
1s:
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21s:

640,719×
305,287,616×
504,760,890×
255,258,430×
119,372,746×
92,074,696×
68,721,018×
53,887,962×
29,099,262×
12,965,788×
8,503,328×
10,474,000×
7,770,008×
2,902,272×
887,458×
247,462×
210,576×
35,242×
8,916×
1,108×
206×
0s:
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25s:

578,099×
371,882,594×
541,150,902×
268,577,153×
133,264,999×
108,902,637×
76,671,467×
53,222,975×
29,111,189×
11,599,525×
6,790,161×
7,968,166×
5,858,770×
4,232,446×
2,817,388×
3,432,058×
1,888,460×
931,740×
235,876×
76,032×
103,766×
23,174×
26,840×
1,136×
1,058×
0s:
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19s:

731,175×
379,678,216×
622,311,100×
317,832,700×
151,416,500×
115,213,256×
83,977,452×
60,368,340×
33,071,156×
13,322,830×
7,146,814×
7,578,906×
4,540,716×
1,661,558×
574,658×
136,360×
12,592×
4,704×
30×
0s:
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22s:

658,227×
457,330,954×
660,653,072×
324,533,592×
156,989,484×
121,875,455×
86,224,889×
65,453,476×
40,652,490×
18,631,059×
12,741,189×
17,165,180×
14,541,414×
5,191,454×
1,438,514×
457,256×
196,556×
78,152×
14,530×
2,294×
592×
20×
0s:
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19s:

830,307×
469,055,828×
760,995,850×
385,391,204×
183,434,672×
139,523,850×
97,987,642×
72,806,316×
37,680,198×
15,030,524×
8,438,372×
7,790,970×
4,792,238×
1,750,512×
490,912×
168,072×
20,688×
1,222×
22×
0s:
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19s:

748,101×
559,975,194×
804,646,158×
394,198,872×
192,150,402×
148,714,077×
106,167,461×
80,262,769×
45,979,065×
20,526,005×
12,947,097×
18,136,846×
13,078,024×
4,798,808×
1,575,764×
532,198×
315,564×
41,960×
13,974×
0s:
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19s:

938,359×
575,063,326×
920,653,174×
457,572,034×
214,151,118×
169,967,252×
120,177,724×
81,847,714×
44,102,748×
19,593,260×
14,007,982×
12,774,374×
7,467,448×
2,621,094×
690,114×
200,572×
67,576×
4,974×
1,276×
0s:
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21s:

845,290×
681,542,268×
975,450,512×
476,326,521×
229,670,825×
177,240,657×
126,383,617×
94,898,080×
53,243,336×
23,871,629×
16,121,377×
20,017,680×
14,522,858×
5,422,426×
1,912,940×
809,558×
366,816×
50,186×
54,566×
1,390×
1,182×
0s:
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25s:

1,056,055×
700,323,208×
1,105,608,614×
541,211,676×
251,695,690×
201,256,094×
141,196,186×
96,514,652×
51,929,936×
20,917,010×
12,417,444×
14,488,282×
11,628,674×
8,379,128×
5,400,868×
5,410,566×
3,883,422×
1,887,110×
615,380×
299,126×
311,436×
126,874×
128,664×
27,662×
2,642×
0s:
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953,147×
825,794,220×
1,177,565,184×
582,783,071×
283,443,867×
217,637,403×
152,376,137×
108,918,343×
61,397,839×
24,266,659×
14,521,919×
14,667,928×
8,800,642×
3,017,214×
723,156×
198,180×
132,672×
15,994×
2,974×
30×
20×
0s:
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1,184,811×
848,392,310×
1,324,767,824×
640,136,570×
292,881,436×
224,891,976×
155,096,784×
119,360,022×
73,552,484×
33,123,026×
20,417,824×
29,047,418×
25,787,566×
8,596,580×
3,109,184×
864,264×
406,206×
104,742×
30,674×
4,984×
130×
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1,071,081×
995,552,932×
1,414,030,850×
696,341,210×
338,961,384×
260,877,973×
177,414,229×
126,383,136×
68,327,782×
27,225,311×
16,052,113×
15,886,454×
9,162,638×
3,739,546×
796,334×
84,830×
10,764×
38×
22×
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1,326,717×
1,023,759,680×
1,582,885,162×
762,560,978×
351,296,470×
269,123,676×
188,540,124×
144,366,790×
82,365,374×
34,820,616×
21,470,600×
30,373,032×
23,356,398×
7,911,366×
3,013,452×
1,350,652×
623,166×
133,018×
82,612×
4,528×
1,364×
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1,198,903×
1,193,581,048×
1,682,206,106×
816,654,474×
390,822,118×
310,135,367×
214,088,843×
144,237,017×
77,945,467×
34,094,753×
26,758,371×
22,714,886×
14,105,692×
5,131,956×
1,639,476×
299,340×
202,718×
28,540×
2,244×
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1,478,551×
1,228,997,494×
1,884,066,344×
903,893,784×
416,014,902×
316,864,602×
219,759,130×
167,867,036×
94,060,670×
40,342,920×
26,062,920×
33,347,822×
24,517,856×
9,646,910×
3,183,114×
1,302,470×
959,798×
261,000×
315,074×
79,696×
156,742×
20,700×
1,344×
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1,337,356×
1,423,458,440×
1,991,497,720×
954,280,269×
456,906,753×
363,203,347×
248,231,485×
165,144,472×
89,510,280×
36,378,893×
23,503,819×
26,824,862×
20,910,372×
14,215,398×
7,999,882×
8,423,170×
5,859,088×
2,869,600×
1,060,942×
807,112×
643,222×
171,188×
104,206×
12,898×
1,182×
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1,645,003×
1,469,058,704×
2,234,204,884×
1,085,234,770×
502,583,958×
381,787,806×
262,483,098×
188,641,058×
109,033,412×
40,530,002×
24,630,300×
25,566,180×
15,610,054×
5,332,438×
1,391,670×
443,470×
130,904×
24,244×
5,250×
130×
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1,488,127×
1,690,885,832×
2,350,483,020×
1,114,069,823×
524,113,449×
404,076,885×
268,730,529×
203,985,311×
125,363,607×
54,553,423×
34,898,785×
50,549,576×
43,577,368×
15,198,736×
5,068,748×
2,147,296×
782,902×
173,356×
116,964×
3,508×
1,326×
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1,824,847×
1,748,237,720×
2,639,587,542×
1,277,411,354×
592,322,478×
448,290,258×
301,248,946×
221,147,312×
117,156,832×
45,835,140×
27,049,170×
26,134,580×
16,818,350×
5,759,126×
1,736,436×
465,018×
297,460×
43,054×
9,648×
288×
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1,652,825×
2,001,802,722×
2,770,009,624×
1,311,562,786×
619,711,504×
476,735,679×
322,005,127×
240,561,958×
138,630,970×
58,837,531×
38,506,077×
52,344,770×
38,591,654×
13,751,676×
4,591,850×
2,206,764×
1,361,976×
371,702×
413,292×
109,442×
199,730×
26,398×
3,912×
220×
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2,018,167×
2,070,428,238×
3,095,691,914×
1,476,878,302×
677,456,184×
525,514,368×
356,703,358×
249,230,380×
134,951,170×
58,135,878×
40,877,932×
36,765,066×
23,414,150×
8,435,106×
2,810,466×
546,078×
589,176×
93,510×
12,782×
1,842×
20×
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1,828,735×
2,360,323,010×
3,248,995,218×
1,535,048,298×
725,267,174×
555,001,673×
372,562,847×
280,199,295×
156,675,591×
66,391,679×
44,517,651×
57,738,880×
41,713,916×
14,580,650×
5,658,820×
2,897,662×
2,321,426×
1,227,104×
448,392×
202,894×
17,478×
4,050×
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2,226,051×
2,440,915,006×
3,612,573,050×
1,703,625,882×
776,173,694×
609,375,488×
406,914,636×
285,337,548×
155,124,832×
56,699,578×
37,518,812×
45,444,764×
35,219,194×
22,987,912×
13,073,416×
14,285,204×
9,266,810×
4,366,946×
1,737,634×
1,269,602×
871,718×
536,796×
121,600×
145,292×
49,148×
5,720×
1,574×
20×
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2,020,402×
2,773,557,306×
3,807,474,370×
1,815,126,141×
868,083,129×
658,606,215×
439,244,669×
309,757,600×
177,310,672×
68,895,531×
42,756,485×
44,069,220×
27,583,288×
10,542,640×
3,240,516×
1,243,740×
273,150×
267,610×
29,266×
2,744×
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2,449,503×
2,867,404,896×
4,205,928,282×
1,970,476,956×
884,727,932×
673,998,162×
443,110,112×
339,054,760×
202,253,130×
86,848,416×
56,997,366×
77,345,050×
69,368,376×
25,076,660×
6,990,494×
3,326,200×
2,260,642×
547,450×
627,112×
134,694×
233,136×
31,662×
1,488×
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2,226,703×
3,247,361,866×
4,438,620,754×
2,110,431,845×
1,008,322,321×
761,153,297×
501,260,939×
365,676,753×
195,724,859×
78,064,815×
45,241,329×
48,244,706×
29,902,598×
9,569,176×
2,877,720×
824,390×
658,358×
70,392×
7,416×
546×
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2,691,277×
3,357,865,842×
4,891,754,032×
2,287,631,722×
1,033,048,630×
786,715,086×
518,535,820×
392,963,192×
224,308,268×
93,004,148×
59,082,206×
81,155,794×
64,352,764×
22,601,976×
8,459,884×
4,256,644×
3,474,238×
1,580,578×
658,920×
253,218×
17,340×
1,572×
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2,447,813×
3,787,599,388×
5,149,690,970×
2,416,321,282×
1,141,401,894×
880,866,911×
586,697,479×
406,267,684×
225,361,840×
93,130,107×
68,503,847×
67,036,294×
39,962,458×
14,327,134×
4,685,624×
1,751,086×
804,724×
119,966×
48,924×
3,794×
2,324×
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2,948,011×
3,918,000,092×
5,664,702,098×
2,642,525,134×
1,194,164,536×
907,054,254×
592,658,254×
453,009,298×
249,559,990×
105,095,990×
69,965,448×
90,048,758×
69,714,204×
23,858,388×
9,687,320×
5,544,782×
3,336,928×
3,475,396×
812,758×
905,780×
203,586×
248,638×
35,384×
5,438×
334×
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2,684,243×
4,401,603,088×
5,947,047,310×
2,766,880,674×
1,300,583,178×
1,011,736,493×
665,463,031×
457,756,643×
244,152,779×
93,595,675×
61,495,063×
77,450,950×
55,412,052×
38,331,970×
21,564,322×
22,172,046×
15,341,556×
7,152,664×
2,939,700×
2,476,686×
2,255,274×
1,026,312×
195,468×
216,542×
67,784×
9,212×
1,938×
546×
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3,224,631×
4,557,573,962×
6,554,428,290×
3,078,760,802×
1,408,146,798×
1,063,463,628×
687,845,048×
503,211,536×
291,827,868×
109,841,506×
66,894,616×
69,967,616×
47,500,264×
15,899,944×
4,605,612×
2,217,002×
681,988×
795,152×
57,522×
9,304×
30×
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2,937,972×
5,099,760,200×
6,854,255,018×
3,177,763,209×
1,470,357,881×
1,109,156,495×
711,994,143×
529,469,140×
321,893,402×
139,184,309×
94,290,549×
126,845,750×
106,928,730×
39,247,894×
13,793,312×
6,611,410×
5,161,534×
2,161,356×
1,232,774×
411,730×
37,638×
6,744×
594×
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3,520,263×
5,285,221,818×
7,549,107,818×
3,536,832,158×
1,623,611,506×
1,217,530,916×
781,321,694×
584,662,854×
315,008,282×
120,998,686×
71,548,752×
79,293,378×
50,110,326×
16,618,816×
4,112,118×
2,487,578×
961,744×
352,588×
34,828×
5,838×
158×
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3,211,237×
5,893,078,616×
7,885,595,810×
3,648,317,365×
1,697,650,625×
1,278,663,115×
820,113,371×
616,689,743×
352,666,487×
154,966,385×
100,126,841×
133,934,242×
105,100,804×
35,844,688×
14,068,218×
7,957,490×
5,059,066×
4,509,100×
1,401,664×
1,186,194×
234,456×
304,960×
40,142×
3,080×
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3,834,579×
6,107,264,838×
8,663,167,588×
4,023,213,952×
1,820,726,914×
1,394,045,850×
906,056,678×
646,341,224×
348,733,856×
146,033,978×
107,232,948×
101,558,782×
64,338,676×
24,328,432×
7,683,108×
2,901,570×
1,398,392×
417,508×
356,362×
74,300×
315,468×
41,134×
1,662×
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3,500,587×
6,789,817,076×
9,048,639,336×
4,173,863,714×
1,945,481,294×
1,464,142,263×
935,754,423×
699,346,360×
399,059,380×
166,829,051×
114,383,075×
144,720,714×
110,862,188×
36,927,528×
14,632,116×
9,041,750×
7,775,854×
6,909,396×
1,807,408×
1,370,004×
405,792×
648,682×
51,078×
3,476×