Base 6: Cycles Lengths: All 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] — [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]
[Odd Digit Sets]
[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	3	4	5	6	7
1	0 cycles	-	-	-	-	-	-	-
2	1 cycle	-	-	15×	-	-	-	-
3	1 cycle	50×	-	-	-	-	-	-
4	1 cycle	-	-	-	-	-	120×	-
5	2 cycles	178×	68×	-	-	-	-	-
6	4 cycles	173×	-	283×	-	-	-	-
7	1 cycle	-	786×	-	-	-	-	-
8	5 cycles	71×	635×	-	-	-	-	575×
9	2 cycles	12×	1,984×	-	-	-	-	-
10	7 cycles	2,089×	908×	-	-	-	-	-
11	3 cycles	886×	3,476×	-	-	-	-	-
12	9 cycles	172×	6,010×	-	-	-	-	-
13	4 cycles	326×	8,236×	-	-	-	-	-
14	13 cycles	1,707×	9,915×	-	-	-	-	-
15	7 cycles	3,692×	11,806×	-	-	-	-	-
16	17 cycles	2,986×	17,357×	-	-	-	-	-
17	8 cycles	972×	25,356×	-	-	-	-	-
18	24 cycles	3,248×	30,395×	-	-	-	-	-
19	11 cycles	6,308×	36,190×	-	-	-	-	-
20	30 cycles	8,721×	44,403×	-	-	-	-	-
21	16 cycles	7,142×	58,632×	-	-	-	-	-
22	37 cycles	5,949×	74,775×	-	-	-	-	-
23	21 cycles	8,668×	89,606×	-	-	-	-	-
24	46 cycles	11,398×	107,351×	-	-	-	-	-
25	27 cycles	15,734×	126,766×	-	-	-	-	-
26	57 cycles	17,984×	151,921×	-	-	-	-	-
27	34 cycles	14,630×	186,740×	-	-	-	-	-
28	68 cycles	19,165×	218,165×	-	-	-	-	-
29	42 cycles	20,774×	257,476×	-	-	-	-	-
30	83 cycles	30,969×	293,657×	-	-	-	-	-
31	52 cycles	37,938×	339,048×	-	-	-	-	-
32	96 cycles	26,794×	409,097×	-	-	-	-	-
33	64 cycles	32,466×	469,470×	-	-	-	-	-
34	113 cycles	42,204×	533,547×	-	-	-	-	-
35	77 cycles	53,414×	604,588×	-	-	-	-	-
36	132 cycles	64,795×	684,597×	-	-	-	-	-
37	90 cycles	45,590×	805,072×	-	-	-	-	-
38	153 cycles	69,349×	893,243×	-	-	-	-	-
39	107 cycles	67,054×	1,018,948×	-	-	-	-	-
40	175 cycles	91,592×	1,130,161×	-	-	-	-	-
41	125 cycles	90,726×	1,280,022×	-	-	-	-	-
42	200 cycles	85,500×	1,448,433×	-	-	-	-	-
43	145 cycles	100,618×	1,611,680×	-	-	-	-	-
44	226 cycles	116,007×	1,790,871×	-	-	-	-	-
45	168 cycles	130,798×	1,987,956×	-	-	-	-	-
46	256 cycles	152,843×	2,196,211×	-	-	-	-	-
47	191 cycles	129,534×	2,469,420×	-	-	-	-	-
48	288 cycles	160,724×	2,708,955×	-	-	-	-	-
49	217 cycles	153,422×	3,009,082×	-	-	-	-	-
50	323 cycles	216,326×	3,262,429×	-	-	-	-	-
51	247 cycles	213,128×	3,606,682×	-	-	-	-	-
52	358 cycles	207,919×	3,979,181×	-	-	-	-	-
53	278 cycles	204,720×	4,377,390×	-	-	-	-	-
54	399 cycles	257,531×	4,748,849×	-	-	-	-	-
55	312 cycles	290,294×	5,171,212×	-	-	-	-	-
56	441 cycles	325,300×	5,623,841×	-	-	-	-	-
57	348 cycles	264,688×	6,206,308×	-	-	-	-	-
58	487 cycles	334,610×	6,694,231×	-	-	-	-	-
59	387 cycles	321,638×	7,302,868×	-	-	-	-	-
60	536 cycles	437,957×	7,821,925×	-	-	-	-	-
61	429 cycles	406,854×	8,530,068×	-	-	-	-	-
62	587 cycles	418,423×	9,239,219×	-	-	-	-	-
63	475 cycles	421,452×	10,002,670×	-	-	-	-	-
64	641 cycles	484,650×	10,753,857×	-	-	-	-	-
65	523 cycles	524,980×	11,578,028×	-	-	-	-	-
66	701 cycles	598,326×	12,421,577×	-	-	-	-	-
67	573 cycles	520,792×	13,470,746×	-	-	-	-	-
68	762 cycles	622,275×	14,398,053×	-	-	-	-	-
69	628 cycles	571,538×	15,537,220×	-	-	-	-	-
70	828 cycles	792,241×	16,467,143×	-	-	-	-	-
71	686 cycles	717,168×	17,757,666×	-	-	-	-	-
72	896 cycles	767,662×	18,990,147×	-	-	-	-	-
73	747 cycles	708,188×	20,402,896×	-	-	-	-	-
74	969 cycles	887,222×	21,650,287×	-	-	-	-	-
75	813 cycles	910,602×	23,129,408×	-	-	-	-	-
76	1,045 cycles	1,055,423×	24,566,167×	-	-	-	-	-
77	880 cycles	858,878×	26,426,452×	-	-	-	-	-
78	1,127 cycles	1,063,069×	27,971,321×	-	-	-	-	-
79	952 cycles	1,012,492×	29,859,518×	-	-	-	-	-
80	1,211 cycles	1,307,856×	31,493,655×	-	-	-	-	-
81	1,029 cycles	1,183,216×	33,643,080×	-	-	-	-	-
82	1,299 cycles	1,262,240×	35,687,611×	-	-	-	-	-
83	1,109 cycles	1,191,630×	37,984,116×	-	-	-	-	-
84	1,392 cycles	1,449,055×	40,058,581×	-	-	-	-	-
85	1,193 cycles	1,454,802×	42,494,460×	-	-	-	-	-
86	1,490 cycles	1,714,875×	44,789,577×	-	-	-	-	-
87	1,281 cycles	1,397,634×	47,779,488×	-	-	-	-	-
88	1,591 cycles	1,712,482×	50,258,795×	-	-	-	-	-
89	1,373 cycles	1,544,214×	53,346,798×	-	-	-	-	-
90	1,699 cycles	2,081,614×	55,858,899×	-	-	-	-	-
91	1,470 cycles	1,885,084×	59,238,974×	-	-	-	-	-
92	1,808 cycles	2,003,177×	62,442,841×	-	-	-	-	-
93	1,572 cycles	1,836,094×	66,074,764×	-	-	-	-	-
94	1,924 cycles	2,225,311×	69,297,827×	-	-	-	-	-
95	1,678 cycles	2,285,620×	73,001,894×	-	-	-	-	-
96	2,045 cycles	2,588,922×	76,619,817×	-	-	-	-	-
97	1,787 cycles	2,130,518×	81,161,146×	-	-	-	-	-
98	2,171 cycles	2,615,398×	84,925,841×	-	-	-	-	-
99	1,903 cycles	2,373,596×	89,588,918×	-	-	-	-	-
100	2,301 cycles	3,140,557×	93,420,083×	-	-	-	-	-