Base 8: Cycles Lengths: Even Digit Sets

Blog: The First Pixel: Kaprekar's Constant 6174

Summary
[All Digit Sets]
[Odd Digit Sets]
[Even Digit Sets]
Final Numbers
[Fixed Points]
Cycles Lengths
[All Digit Sets]
[Odd Digit Sets]
[Even Digit Sets] — [2] [3] [4] [5] [6] [7] [Base 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] [101] [102] [103] [104] [105] [106] [107] [108] [109] [110] [111] [112] [113] [114] [115] [116] [117] [118] [119] [120] [121] [122] [123] [124] [125] [126] [127] [128] [129] [130] [131] [132] [133] [134] [135] [136] [137] [138] [139] [140] [141] [142] [143] [144] [145] [146] [147] [148] [149] [150] [151] [152] [153] [154] [155] [156] [157] [158] [159] [160] [161] [162] [163] [164] [165] [166] [167] [168] [169] [170] [171] [172] [173] [174] [175] [176] [177] [178] [179] [180] [181] [182] [183] [184] [185] [186] [187] [188] [189] [190] [191] [192] [193] [194] [195] [196] [197] [198] [199] [200] [201] [202] [203] [204] [205] [206] [207] [208] [209] [210] [211] [212] [213] [214] [215] [216] [217] [218] [219] [220] [221] [222] [223] [224] [225] [226] [227] [228] [229] [230] [231] [232] [233] [234] [235] [236] [237] [238] [239] [240] [241] [242] [243] [244] [245] [246] [247] [248] [249] [250] [251] [252] [253] [254] [255]
Iteration Frequencies
[Cycle Start]
[Full Cycle]
Maximum Iteration Sequences
[Cycle Start]
[Full Cycle]
Cycles Sequences
[Maximum Length Cycle Count]
[All Cycle Counts]

Radix Character Encoding
0	1	2	3	4	5	6	7

Color Key
Orange	Fixed Point	number that becomes itself after one iteration
Green	Final Numbers	all numbers eventually reached, from all cycles
Purple	Cycle Start	iterations include entry into cycle, assuming it repeats
Red	Full Cycle	iterations include entire cycle, proving it repeats
Blue	Start Numbers	subset (optimization) of all numbers; minimal for full coverage
Gray	No Results	any calculation that has no results

Digits	# Full Cycles (excluding zero)	Nodes
Digits	# Full Cycles (excluding zero)	1	2	3	4	5	6	7	8	9	10	11	12
2	2 cycles	7×	-	21×	-	-	-	-	-	-	-	-	-
4	2 cycles	-	-	92×	-	230×	-	-	-	-	-	-	-
6	3 cycles	1,472×	-	236×	-	-	-	-	-	-	-	-	-
8	3 cycles	325×	-	6,102×	-	-	-	-	-	-	-	-	-
10	5 cycles	95×	-	19,345×	-	-	-	-	-	-	-	-	-
12	13 cycles	6,791×	686×	39,541×	3,362×	-	-	-	-	-	-	-	-
14	16 cycles	12,126×	-	104,146×	-	-	-	-	-	-	-	-	-
16	21 cycles	2,568×	-	242,581×	-	-	-	-	-	-	-	-	-
18	34 cycles	8,111×	40,592×	368,375×	-	-	63,614×	-	-	-	-	-	-
20	45 cycles	31,613×	-	572,477×	-	60,474×	-	-	-	223,458×	-	-	-
22	62 cycles	183,373×	1,682×	935,385×	-	-	-	-	-	-	-	-	440,332×
24	82 cycles	54,934×	-	2,306,837×	-	267,796×	-	-	-	-	-	-	-
26	104 cycles	96,770×	-	4,175,270×	-	-	-	-	-	-	-	-	-
28	137 cycles	769,720×	-	5,954,792×	-	-	-	-	-	-	-	-	-
30	170 cycles	115,779×	-	10,179,685×	-	-	-	-	-	-	-	-	-
32	215 cycles	191,499×	226,468×	14,193,510×	-	-	769,452×	-	-	-	-	-	-
34	264 cycles	508,471×	-	19,692,635×	-	712,002×	-	-	-	1,568,824×	-	-	-
36	323 cycles	1,541,948×	-	27,464,588×	-	-	-	-	-	-	-	-	3,217,570×
38	389 cycles	598,076×	-	42,712,092×	-	2,069,444×	-	-	-	-	-	-	-
40	466 cycles	847,986×	-	62,043,505×	-	-	-	-	-	-	-	-	-
42	564 cycles	4,265,627×	2,026×	81,632,923×	-	-	-	-	-	-	-	-	-
44	657 cycles	916,515×	-	114,858,577×	-	-	-	-	-	-	-	-	-
46	774 cycles	1,623,247×	717,816×	147,525,915×	-	-	4,276,094×	-	-	-	-	-	-
48	905 cycles	1,957,398×	-	190,176,831×	-	3,554,656×	-	-	-	7,238,832×	-	-	-
50	1,048 cycles	7,388,726×	-	243,347,560×	-	-	-	-	-	-	-	-	13,649,542×
52	1,212 cycles	3,029,628×	2,492×	329,842,200×	-	8,275,118×	-	-	-	-	-	-	-
54	1,392 cycles	3,632,625×	-	432,638,147×	-	-	-	-	-	-	-	-	-
56	1,598 cycles	15,739,679×	-	537,530,984×	-	-	-	-	-	-	-	-	-
58	1,811 cycles	4,587,213×	-	691,603,339×	-	-	-	-	-	-	-	-	-
60	2,058 cycles	5,480,834×	1,939,430×	845,365,942×	-	-	16,861,994×	-	-	-	-	-	-
62	2,326 cycles	6,825,446×	2,988×	1,035,842,780×	-	11,776,830×	-	-	-	24,449,196×	-	-	-
64	2,617 cycles	25,936,240×	-	1,261,600,789×	-	-	-	-	-	-	-	-	42,353,668×
66	2,938 cycles	9,243,213×	-	1,594,571,777×	-	25,533,614×	-	-	-	-	-	-	-
68	3,284 cycles	10,152,475×	-	1,974,677,367×	-	-	-	-	-	-	-	-	-
70	3,672 cycles	45,830,311×	-	2,358,978,021×	-	-	-	-	-	-	-	-	-
72	4,076 cycles	11,908,390×	3,484×	2,886,841,833×	-	-	-	-	-	-	-	-	-
74	4,520 cycles	16,298,470×	3,942,420×	3,406,855,708×	-	-	50,119,994×	-	-	-	-	-	-
76	5,000 cycles	19,277,672×	-	4,035,017,006×	-	32,342,684×	-	-	-	65,281,258×	-	-	-
78	5,518 cycles	72,617,311×	-	4,757,696,715×	-	-	-	-	-	-	-	-	105,533,286×
80	6,073 cycles	23,078,363×	-	5,756,913,280×	-	63,364,306×	-	-	-	-	-	-	-
82	6,672 cycles	27,654,467×	3,980×	6,862,610,117×	-	-	-	-	-	-	-	-	-
84	7,325 cycles	102,954,360×	-	7,991,035,822×	-	-	-	-	-	-	-	-	-
86	7,998 cycles	31,492,958×	-	9,442,129,478×	-	-	-	-	-	-	-	-	-
88	8,734 cycles	38,576,078×	7,158,728×	10,876,016,649×	-	-	128,333,232×	-	-	-	-	-	-
90	9,519 cycles	43,576,403×	-	12,569,479,395×	-	71,058,552×	-	-	-	162,126,426×	-	-	-
92	10,354 cycles	172,002,895×	4,476×	14,481,592,943×	-	-	-	-	-	-	-	-	233,431,222×
94	11,242 cycles	54,958,745×	-	17,008,657,009×	-	135,997,438×	-	-	-	-	-	-	-
96	12,188 cycles	58,818,590×	-	19,754,683,187×	-	-	-	-	-	-	-	-	-
98	13,204 cycles	224,643,480×	-	22,536,080,212×	-	-	-	-	-	-	-	-	-
100	14,255 cycles	70,709,368×	-	26,005,263,170×	-	-	-	-	-	-	-	-	-