Base 6: 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] [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]
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
2	1 cycle	-	-	15×	-	-	-	-
4	1 cycle	-	-	-	-	-	120×	-
6	4 cycles	173×	-	283×	-	-	-	-
8	5 cycles	71×	635×	-	-	-	-	575×
10	7 cycles	2,089×	908×	-	-	-	-	-
12	9 cycles	172×	6,010×	-	-	-	-	-
14	13 cycles	1,707×	9,915×	-	-	-	-	-
16	17 cycles	2,986×	17,357×	-	-	-	-	-
18	24 cycles	3,248×	30,395×	-	-	-	-	-
20	30 cycles	8,721×	44,403×	-	-	-	-	-
22	37 cycles	5,949×	74,775×	-	-	-	-	-
24	46 cycles	11,398×	107,351×	-	-	-	-	-
26	57 cycles	17,984×	151,921×	-	-	-	-	-
28	68 cycles	19,165×	218,165×	-	-	-	-	-
30	83 cycles	30,969×	293,657×	-	-	-	-	-
32	96 cycles	26,794×	409,097×	-	-	-	-	-
34	113 cycles	42,204×	533,547×	-	-	-	-	-
36	132 cycles	64,795×	684,597×	-	-	-	-	-
38	153 cycles	69,349×	893,243×	-	-	-	-	-
40	175 cycles	91,592×	1,130,161×	-	-	-	-	-
42	200 cycles	85,500×	1,448,433×	-	-	-	-	-
44	226 cycles	116,007×	1,790,871×	-	-	-	-	-
46	256 cycles	152,843×	2,196,211×	-	-	-	-	-
48	288 cycles	160,724×	2,708,955×	-	-	-	-	-
50	323 cycles	216,326×	3,262,429×	-	-	-	-	-
52	358 cycles	207,919×	3,979,181×	-	-	-	-	-
54	399 cycles	257,531×	4,748,849×	-	-	-	-	-
56	441 cycles	325,300×	5,623,841×	-	-	-	-	-
58	487 cycles	334,610×	6,694,231×	-	-	-	-	-
60	536 cycles	437,957×	7,821,925×	-	-	-	-	-
62	587 cycles	418,423×	9,239,219×	-	-	-	-	-
64	641 cycles	484,650×	10,753,857×	-	-	-	-	-
66	701 cycles	598,326×	12,421,577×	-	-	-	-	-
68	762 cycles	622,275×	14,398,053×	-	-	-	-	-
70	828 cycles	792,241×	16,467,143×	-	-	-	-	-
72	896 cycles	767,662×	18,990,147×	-	-	-	-	-
74	969 cycles	887,222×	21,650,287×	-	-	-	-	-
76	1,045 cycles	1,055,423×	24,566,167×	-	-	-	-	-
78	1,127 cycles	1,063,069×	27,971,321×	-	-	-	-	-
80	1,211 cycles	1,307,856×	31,493,655×	-	-	-	-	-
82	1,299 cycles	1,262,240×	35,687,611×	-	-	-	-	-
84	1,392 cycles	1,449,055×	40,058,581×	-	-	-	-	-
86	1,490 cycles	1,714,875×	44,789,577×	-	-	-	-	-
88	1,591 cycles	1,712,482×	50,258,795×	-	-	-	-	-
90	1,699 cycles	2,081,614×	55,858,899×	-	-	-	-	-
92	1,808 cycles	2,003,177×	62,442,841×	-	-	-	-	-
94	1,924 cycles	2,225,311×	69,297,827×	-	-	-	-	-
96	2,045 cycles	2,588,922×	76,619,817×	-	-	-	-	-
98	2,171 cycles	2,615,398×	84,925,841×	-	-	-	-	-
100	2,301 cycles	3,140,557×	93,420,083×	-	-	-	-	-