Base 10: 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] [7] [8] [9] [Base 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	7	8	9

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	-	-	-	-	45×	-	-
4	1 cycle	705×	-	-	-	-	-	-
6	3 cycles	382×	-	-	-	-	-	4,613×
8	4 cycles	621×	-	12,051×	-	-	-	11,628×
10	8 cycles	6,151×	-	64,634×	-	-	-	21,583×
12	16 cycles	6,979×	-	234,788×	-	-	-	52,153×
14	27 cycles	31,257×	-	671,493×	-	-	-	114,430×
16	46 cycles	53,473×	22,116×	1,654,149×	-	-	-	313,227×
18	73 cycles	386,507×	-	3,707,218×	-	-	-	593,090×
20	110 cycles	735,409×	-	7,903,501×	-	659,020×	-	717,065×
22	162 cycles	750,095×	-	14,306,576×	-	4,217,036×	-	886,358×
24	231 cycles	1,073,855×	-	25,614,889×	-	10,961,281×	-	917,065×
26	318 cycles	2,213,846×	-	43,756,390×	-	23,544,832×	-	1,092,382×
28	429 cycles	21,074,683×	-	75,509,466×	-	26,312,355×	-	1,507,106×
30	572 cycles	33,492,534×	221,372×	159,077,720×	-	17,407,499×	-	1,715,997×
32	747 cycles	28,111,602×	318,564×	303,415,543×	-	16,824,140×	-	1,673,706×
34	963 cycles	33,851,370×	1,035,730×	511,080,652×	-	15,663,798×	-	2,290,435×
36	1,229 cycles	46,891,227×	-	819,948,824×	-	15,820,016×	-	3,503,058×
38	1,551 cycles	65,400,039×	-	1,259,879,815×	-	33,042,508×	-	4,326,773×
40	1,939 cycles	53,042,153×	-	1,867,214,562×	-	128,789,030×	-	5,409,879×
42	2,401 cycles	59,873,917×	-	2,723,158,729×	-	252,258,194×	-	7,021,500×
44	2,948 cycles	83,575,568×	705,380×	3,877,826,253×	-	461,558,168×	-	7,948,171×
46	3,586 cycles	419,597,949×	1,133,822×	5,507,605,190×	-	422,620,616×	-	7,444,463×
48	4,330 cycles	576,030,788×	3,036,618×	8,204,302,135×	-	202,369,824×	-	10,723,100×
50	5,194 cycles	384,383,964×	6,841,050×	11,977,846,094×	-	183,472,298×	-	13,127,845×
52	6,191 cycles	449,417,086×	14,114,390×	16,702,071,991×	-	161,168,770×	-	14,991,258×
54	7,338 cycles	590,541,148×	-	22,896,086,020×	-	163,704,096×	-	17,358,541×
56	8,650 cycles	827,234,745×	-	30,834,734,675×	-	279,816,230×	-	24,964,220×
58	10,149 cycles	630,864,938×	2,042,394×	40,945,293,951×	-	1,154,795,126×	-	24,707,141×
60	11,844 cycles	674,519,811×	2,733,474×	53,866,332,571×	-	2,100,490,254×	-	27,998,768×
62	13,756 cycles	832,428,393×	6,340,488×	70,021,119,442×	-	3,581,277,582×	-	32,713,565×
64	15,908 cycles	3,312,133,045×	15,174,302×	90,714,536,242×	-	3,004,309,482×	-	35,868,384×
66	18,321 cycles	4,247,072,879×	29,846,752×	120,043,149,935×	-	1,232,542,838×	-	43,009,761×
68	21,020 cycles	2,649,558,744×	45,535,870×	157,534,750,733×	-	1,046,725,006×	-	45,989,112×
70	24,028 cycles	2,963,260,621×	73,541,380×	201,808,739,557×	-	904,941,664×	-	61,030,533×
72	27,378 cycles	3,771,118,652×	4,216,668×	256,146,955,196×	-	892,006,628×	-	73,537,196×
74	31,087 cycles	5,365,870,484×	5,901,864×	321,887,507,721×	-	1,365,138,458×	-	69,139,513×
76	35,188 cycles	4,009,037,914×	12,464,390×	401,472,680,116×	-	6,161,330,068×	-	76,418,112×
78	39,712 cycles	4,186,491,638×	26,120,178×	498,149,120,721×	-	10,469,580,422×	-	85,487,701×