Base 6: 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] [Base 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] [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

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
1	0 cycles	-	-
3	1 cycle	50×	-
5	2 cycles	178×	68×
7	1 cycle	-	786×
9	2 cycles	12×	1,984×
11	3 cycles	886×	3,476×
13	4 cycles	326×	8,236×
15	7 cycles	3,692×	11,806×
17	8 cycles	972×	25,356×
19	11 cycles	6,308×	36,190×
21	16 cycles	7,142×	58,632×
23	21 cycles	8,668×	89,606×
25	27 cycles	15,734×	126,766×
27	34 cycles	14,630×	186,740×
29	42 cycles	20,774×	257,476×
31	52 cycles	37,938×	339,048×
33	64 cycles	32,466×	469,470×
35	77 cycles	53,414×	604,588×
37	90 cycles	45,590×	805,072×
39	107 cycles	67,054×	1,018,948×
41	125 cycles	90,726×	1,280,022×
43	145 cycles	100,618×	1,611,680×
45	168 cycles	130,798×	1,987,956×
47	191 cycles	129,534×	2,469,420×
49	217 cycles	153,422×	3,009,082×
51	247 cycles	213,128×	3,606,682×
53	278 cycles	204,720×	4,377,390×
55	312 cycles	290,294×	5,171,212×
57	348 cycles	264,688×	6,206,308×
59	387 cycles	321,638×	7,302,868×
61	429 cycles	406,854×	8,530,068×
63	475 cycles	421,452×	10,002,670×
65	523 cycles	524,980×	11,578,028×
67	573 cycles	520,792×	13,470,746×
69	628 cycles	571,538×	15,537,220×
71	686 cycles	717,168×	17,757,666×
73	747 cycles	708,188×	20,402,896×
75	813 cycles	910,602×	23,129,408×
77	880 cycles	858,878×	26,426,452×
79	952 cycles	1,012,492×	29,859,518×
81	1,029 cycles	1,183,216×	33,643,080×
83	1,109 cycles	1,191,630×	37,984,116×
85	1,193 cycles	1,454,802×	42,494,460×
87	1,281 cycles	1,397,634×	47,779,488×
89	1,373 cycles	1,544,214×	53,346,798×
91	1,470 cycles	1,885,084×	59,238,974×
93	1,572 cycles	1,836,094×	66,074,764×
95	1,678 cycles	2,285,620×	73,001,894×
97	1,787 cycles	2,130,518×	81,161,146×
99	1,903 cycles	2,373,596×	89,588,918×