Base 8: Cycles Lengths: Odd 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] — [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]
[Even Digit Sets]
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
1	0 cycles	-	-	-	-	-	-	-	-	-	-	-	-
3	1 cycle	112×	-	-	-	-	-	-	-	-	-	-	-
5	2 cycles	-	70×	-	714×	-	-	-	-	-	-	-	-
7	3 cycles	334×	-	-	340×	-	-	2,750×	-	-	-	-	-
9	4 cycles	20×	-	-	8,202×	3,210×	-	-	-	-	-	-	-
11	3 cycles	-	10,034×	-	7,882×	-	13,900×	-	-	-	-	-	-
13	2 cycles	-	-	-	-	17,094×	-	-	-	60,418×	-	-	-
15	3 cycles	50,562×	-	-	-	-	-	-	-	-	-	-	119,974×
17	5 cycles	2,180×	856×	270,102×	-	72,958×	-	-	-	-	-	-	-
19	5 cycles	9,868×	-	647,924×	-	-	-	-	-	-	-	-	-
21	12 cycles	226,104×	-	957,928×	-	-	-	-	-	-	-	-	-
23	13 cycles	14,614×	-	2,021,178×	-	-	-	-	-	-	-	-	-
25	22 cycles	14,614×	115,138×	2,995,132×	-	-	240,964×	-	-	-	-	-	-
27	35 cycles	188,394×	964×	4,280,050×	-	241,936×	-	-	-	668,264×	-	-	-
29	45 cycles	573,806×	-	6,410,570×	-	-	-	-	-	-	-	-	1,363,296×
31	61 cycles	160,896×	-	11,685,414×	-	773,938×	-	-	-	-	-	-	-
33	82 cycles	348,746×	-	18,294,806×	-	-	-	-	-	-	-	-	-
35	111 cycles	1,714,828×	-	25,263,492×	-	-	-	-	-	-	-	-	-
37	139 cycles	257,024×	1,244×	38,062,292×	-	-	-	-	-	-	-	-	-
39	179 cycles	716,718×	443,436×	50,494,082×	-	-	1,870,436×	-	-	-	-	-	-
41	223 cycles	879,600×	-	67,589,294×	-	1,633,574×	-	-	-	3,526,596×	-	-	-
43	275 cycles	3,238,200×	-	89,658,246×	-	-	-	-	-	-	-	-	6,987,946×
45	338 cycles	1,407,662×	-	128,252,818×	-	4,124,072×	-	-	-	-	-	-	-
47	410 cycles	1,419,724×	1,596×	175,679,232×	-	-	-	-	-	-	-	-	-
49	498 cycles	7,773,544×	-	224,143,848×	-	-	-	-	-	-	-	-	-
51	587 cycles	1,942,380×	-	298,731,700×	-	-	-	-	-	-	-	-	-
53	696 cycles	2,327,400×	1,235,406×	373,858,748×	-	-	8,785,358×	-	-	-	-	-	-
55	818 cycles	2,858,160×	-	468,358,298×	-	6,736,178×	-	-	-	13,843,508×	-	-	-
57	958 cycles	13,517,234×	1,948×	582,765,684×	-	-	-	-	-	-	-	-	24,931,318×
59	1,110 cycles	4,368,488×	-	760,076,950×	-	14,343,994×	-	-	-	-	-	-	-
61	1,281 cycles	4,695,184×	-	964,748,712×	-	-	-	-	-	-	-	-	-
63	1,482 cycles	23,975,050×	-	1,174,799,662×	-	-	-	-	-	-	-	-	-
65	1,684 cycles	5,635,704×	-	1,467,473,992×	-	-	-	-	-	-	-	-	-
67	1,922 cycles	7,134,662×	2,656,264×	1,759,944,326×	-	-	29,843,804×	-	-	-	-	-	-
69	2,180 cycles	9,995,072×	-	2,115,284,706×	-	20,144,940×	-	-	-	40,764,674×	-	-	-
71	2,461 cycles	41,139,472×	-	2,532,871,130×	-	-	-	-	-	-	-	-	67,891,510×
73	2,770 cycles	11,331,214×	-	3,125,921,172×	-	39,464,006×	-	-	-	-	-	-	-
75	3,108 cycles	14,207,000×	-	3,787,549,808×	-	-	-	-	-	-	-	-	-
77	3,487 cycles	61,937,234×	2,652×	4,467,425,882×	-	-	-	-	-	-	-	-	-
79	3,874 cycles	14,620,250×	-	5,358,580,622×	-	-	-	-	-	-	-	-	-
81	4,310 cycles	21,319,998×	5,677,464×	6,241,008,794×	-	-	80,331,072×	-	-	-	-	-	-
83	4,777 cycles	23,476,830×	-	7,293,591,382×	-	47,033,280×	-	-	-	107,274,060×	-	-	-
85	5,281 cycles	102,817,438×	-	8,496,086,770×	-	-	-	-	-	-	-	-	161,649,872×
87	5,828 cycles	28,964,190×	3,004×	10,117,798,384×	-	89,102,342×	-	-	-	-	-	-	-
89	6,410 cycles	30,533,654×	-	11,888,658,818×	-	-	-	-	-	-	-	-	-
91	7,050 cycles	136,491,198×	-	13,697,921,946×	-	-	-	-	-	-	-	-	-
93	7,711 cycles	36,692,096×	-	15,970,868,696×	-	-	-	-	-	-	-	-	-
95	8,432 cycles	43,067,868×	8,894,750×	18,220,285,638×	-	-	194,704,856×	-	-	-	-	-	-
97	9,203 cycles	47,662,870×	3,356×	20,853,666,214×	-	102,967,644×	-	-	-	239,042,028×	-	-	-
99	10,023 cycles	237,791,426×	-	23,794,311,836×	-	-	-	-	-	-	-	-	337,964,530×