Base 7: 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] [Base 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	6

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	13	14	15	16	17	18	19	20	21	22	23	24	25
2	0 cycles	-	-	-	-	-	-	-	-	-	-	-	-	-	-	-	-	-	-	-	-	-	-	-	-	-
4	1 cycle	-	-	203×	-	-	-	-	-	-	-	-	-	-	-	-	-	-	-	-	-	-	-	-	-	-
6	1 cycle	-	-	-	-	-	917×	-	-	-	-	-	-	-	-	-	-	-	-	-	-	-	-	-	-	-
8	1 cycle	-	-	-	-	-	2,996×	-	-	-	-	-	-	-	-	-	-	-	-	-	-	-	-	-	-	-
10	3 cycles	-	8,001×	-	-	-	-	-	-	-	-	-	-	-	-	-	-	-	-	-	-	-	-	-	-	-
12	2 cycles	-	3,858×	-	-	14,699×	-	-	-	-	-	-	-	-	-	-	-	-	-	-	-	-	-	-	-	-
14	2 cycles	-	19,508×	-	-	-	-	-	-	19,245×	-	-	-	-	-	-	-	-	-	-	-	-	-	-	-	-
16	2 cycles	-	44,585×	-	-	-	-	-	-	-	-	-	30,021×	-	-	-	-	-	-	-	-	-	-	-	-	-
18	1 cycle	-	134,589×	-	-	-	-	-	-	-	-	-	-	-	-	-	-	-	-	-	-	-	-	-	-	-
20	6 cycles	16,846×	68,638×	-	-	99,244×	-	45,495×	-	-	-	-	-	-	-	-	-	-	-	-	-	-	-	-	-	-
22	5 cycles	27,897×	63,074×	-	-	285,762×	-	-	-	-	-	-	-	-	-	-	-	-	-	-	-	-	-	-	-	-
24	7 cycles	65,829×	61,654×	-	-	466,285×	-	-	-	-	-	-	-	-	-	-	-	-	-	-	-	-	-	-	-	-
26	7 cycles	94,310×	81,457×	-	-	-	-	-	-	-	-	-	-	-	-	-	-	-	-	-	-	-	-	-	730,418×	-
28	8 cycles	193,051×	118,805×	-	-	-	-	1,033,041×	-	-	-	-	-	-	-	-	-	-	-	-	-	-	-	-	-	-
30	12 cycles	302,393×	162,033×	17,847×	-	-	-	-	-	-	-	-	-	-	-	-	-	-	-	-	-	-	-	-	-	1,465,512×
32	13 cycles	430,000×	575,380×	9,846×	-	-	-	-	-	-	-	-	-	1,745,448×	-	-	-	-	-	-	-	-	-	-	-	-
34	15 cycles	442,269×	674,866×	9,846×	-	-	-	-	-	-	-	-	-	2,711,392×	-	-	-	-	-	-	-	-	-	-	-	-
36	16 cycles	3,656,092×	1,579,841×	9,846×	-	-	-	-	-	-	-	-	-	-	-	-	-	-	-	-	-	-	-	-	-	-
38	20 cycles	1,687,106×	1,568,138×	9,846×	-	-	-	-	-	-	-	-	-	-	-	-	-	3,793,955×	-	-	-	-	-	-	-	-
40	25 cycles	1,697,519×	3,508,956×	4,160,337×	-	-	-	-	-	-	-	-	-	-	-	-	-	-	-	-	-	-	-	-	-	-
42	29 cycles	3,357,426×	3,323,024×	110,558×	-	-	-	-	-	-	-	5,480,497×	-	-	-	-	-	-	-	-	-	-	-	-	-	-
44	33 cycles	3,525,647×	4,477,436×	7,887,610×	-	-	-	-	-	-	-	-	-	-	-	-	-	-	-	-	-	-	-	-	-	-
46	38 cycles	4,765,063×	5,334,207×	8,563,387×	-	-	-	1,695,856×	-	-	-	-	-	-	-	-	-	-	-	-	-	-	-	-	-	-
48	42 cycles	7,524,604×	6,989,954×	11,312,600×	-	-	-	-	-	-	-	-	-	-	-	-	-	-	-	-	-	-	-	-	-	-
50	48 cycles	7,423,860×	9,131,705×	15,912,864×	-	-	-	-	-	-	-	-	-	-	-	-	-	-	-	-	-	-	-	-	-	-
52	53 cycles	8,893,298×	13,466,503×	18,115,550×	-	-	-	-	-	-	-	-	-	-	-	-	-	-	-	-	-	-	-	-	-	-
54	57 cycles	11,278,208×	11,635,489×	27,150,156×	-	-	-	-	-	-	-	-	-	-	-	-	-	-	-	-	-	-	-	-	-	-
56	63 cycles	23,989,100×	14,417,351×	23,068,061×	-	-	-	-	-	-	-	-	-	-	-	-	-	-	-	-	-	-	-	-	-	-
58	71 cycles	20,062,890×	15,951,652×	38,959,819×	-	-	-	-	-	-	-	-	-	-	-	-	-	-	-	-	-	-	-	-	-	-
60	79 cycles	20,430,967×	18,693,604×	51,734,190×	-	-	-	-	-	-	-	-	-	-	-	-	-	-	-	-	-	-	-	-	-	-
62	87 cycles	23,505,082×	44,890,039×	41,058,216×	-	-	-	-	-	-	-	-	-	-	-	-	-	-	-	-	-	-	-	-	-	-
64	95 cycles	28,662,631×	47,336,811×	48,341,493×	-	-	-	-	-	-	-	6,775,043×	-	-	-	-	-	-	-	-	-	-	-	-	-	-
66	101 cycles	32,203,564×	67,467,589×	56,567,748×	-	-	-	-	-	-	-	-	-	-	-	-	-	-	-	-	-	-	-	-	-	-
68	109 cycles	35,994,956×	71,107,170×	68,589,939×	-	9,558,714×	-	-	-	-	-	-	-	-	-	-	-	-	-	-	-	-	-	-	-	-
70	119 cycles	41,975,645×	93,215,443×	71,068,895×	-	12,358,950×	-	-	-	-	-	-	-	-	-	-	-	-	-	-	-	-	-	-	-	-
72	132 cycles	47,154,828×	90,443,446×	85,730,340×	-	33,522,974×	-	-	-	-	-	-	-	-	-	-	-	-	-	-	-	-	-	-	-	-
74	141 cycles	70,519,160×	103,964,889×	92,462,972×	-	33,553,172×	-	-	-	-	-	-	-	-	-	-	-	-	-	-	-	-	-	-	-	-
76	151 cycles	82,478,223×	111,227,153×	108,232,872×	-	45,777,372×	-	-	-	2,446,185×	-	-	-	-	-	-	-	-	-	-	-	-	-	-	-	-
78	161 cycles	105,682,796×	127,980,546×	124,443,550×	-	48,374,645×	-	-	-	-	-	-	-	-	-	-	-	-	-	-	-	-	-	-	-	-
80	172 cycles	118,461,082×	146,115,843×	132,406,546×	-	61,394,542×	11,777,057×	-	-	-	-	-	-	-	-	-	-	-	-	-	-	-	-	-	-	-
82	185 cycles	145,367,791×	170,654,831×	145,448,651×	-	63,720,382×	16,739,574×	-	-	-	-	-	-	-	-	-	-	-	-	-	-	-	-	-	-	-
84	195 cycles	160,417,409×	182,052,266×	164,288,392×	-	79,856,409×	36,000,147×	-	-	-	-	-	-	-	-	-	-	-	-	-	-	-	-	-	-	-
86	210 cycles	187,974,935×	201,214,899×	197,846,465×	-	88,217,055×	37,814,995×	-	-	-	-	-	-	-	-	-	-	-	-	-	-	-	-	-	-	-
88	221 cycles	213,007,162×	213,274,337×	225,317,494×	-	99,729,991×	62,887,776×	-	-	-	-	-	-	-	-	-	-	-	-	-	-	-	-	-	-	-
90	234 cycles	243,313,660×	252,445,572×	256,956,749×	-	106,743,202×	67,589,114×	-	-	-	-	-	-	-	-	-	-	-	-	-	-	-	-	-	-	-
92	251 cycles	276,640,240×	267,780,896×	286,263,971×	8,163,993×	127,489,512×	86,279,773×	-	-	-	-	-	-	-	-	-	-	-	-	-	-	-	-	-	-	-
94	266 cycles	311,602,183×	301,181,011×	338,722,661×	14,699,891×	134,044,718×	91,801,929×	-	-	-	-	-	-	-	-	-	-	-	-	-	-	-	-	-	-	-
96	280 cycles	343,959,561×	323,997,946×	362,173,578×	47,421,276×	153,861,817×	115,134,480×	-	-	-	-	-	-	-	-	-	-	-	-	-	-	-	-	-	-	-
98	294 cycles	387,156,014×	404,466,293×	402,242,862×	35,557,367×	164,203,689×	123,755,348×	-	-	-	-	-	-	-	-	-	-	-	-	-	-	-	-	-	-	-
100	315 cycles	429,915,921×	391,255,460×	454,163,415×	47,378,062×	205,117,125×	145,826,410×	-	-	-	-	32,248,346×	-	-	-	-	-	-	-	-	-	-	-	-	-	-