Base 10: 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] [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]
[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	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	8	9	10	11	12	13	14
1	0 cycles	-	-	-	-	-	-	-	-	-	-	-	-	-	-
3	1 cycle	210×	-	-	-	-	-	-	-	-	-	-	-	-	-
5	3 cycles	-	108×	-	1,884×	-	-	-	-	-	-	-	-	-	-
7	1 cycle	-	-	-	-	-	-	-	11,430×	-	-	-	-	-	-
9	3 cycles	2,418×	-	-	-	-	-	-	-	-	-	-	-	-	46,192×
11	3 cycles	9,432×	-	-	-	105,384×	-	-	53,134×	-	-	-	-	-	-
13	5 cycles	9,172×	46,384×	-	-	441,854×	-	-	-	-	-	-	-	-	-
15	8 cycles	6,556×	34,062×	-	-	1,266,876×	-	-	-	-	-	-	-	-	-
17	9 cycles	55,360×	43,784×	-	-	3,025,396×	-	-	-	-	-	-	-	-	-
19	11 cycles	2,384,212×	47,390×	295,858×	-	4,179,430×	-	-	-	-	-	-	-	-	-
21	16 cycles	4,875,598×	53,562×	5,666,956×	-	3,711,024×	-	-	-	-	-	-	-	-	-
23	25 cycles	5,035,912×	107,832×	19,122,002×	-	3,783,044×	-	-	-	-	-	-	-	-	-
25	37 cycles	6,420,608×	259,492×	42,285,906×	-	3,485,240×	-	-	-	-	-	-	-	-	-
27	58 cycles	8,786,694×	72,206×	81,531,504×	-	3,752,866×	-	-	-	-	-	-	-	-	-
29	88 cycles	12,264,702×	83,986×	142,720,980×	-	7,941,962×	-	-	-	-	-	-	-	-	-
31	132 cycles	11,749,564×	86,886×	231,096,836×	-	30,505,584×	-	-	-	-	-	-	-	-	-
33	192 cycles	14,341,490×	98,628×	366,876,420×	-	64,575,262×	-	-	-	-	-	-	-	-	-
35	269 cycles	21,590,806×	101,006×	562,865,406×	-	124,373,280×	-	-	-	-	-	-	-	-	-
37	372 cycles	114,570,838×	462,252×	868,361,490×	-	118,321,740×	-	-	-	-	-	-	-	-	-
39	500 cycles	161,762,478×	795,582×	1,446,799,588×	-	67,748,982×	-	-	-	-	-	-	-	-	-
41	662 cycles	121,113,748×	1,905,296×	2,317,996,606×	-	64,418,040×	-	-	-	-	-	-	-	-	-
43	864 cycles	142,732,666×	4,795,788×	3,476,378,092×	-	55,168,844×	-	-	-	-	-	-	-	-	-
45	1,115 cycles	185,161,980×	145,018×	5,075,080,470×	-	57,548,782×	-	-	-	-	-	-	-	-	-
47	1,421 cycles	260,748,474×	144,678×	7,213,527,984×	-	101,547,254×	-	-	-	-	-	-	-	-	-
49	1,792 cycles	208,483,834×	159,300×	10,028,450,780×	-	411,780,026×	-	-	-	-	-	-	-	-	-
51	2,240 cycles	222,474,376×	1,305,800×	13,763,201,768×	-	796,160,706×	-	-	-	-	-	-	-	-	-
53	2,764 cycles	288,399,090×	2,223,964×	18,613,845,976×	-	1,382,122,230×	-	-	-	-	-	-	-	-	-
55	3,382 cycles	1,270,164,314×	4,584,590×	25,067,100,472×	-	1,198,735,126×	-	-	-	-	-	-	-	-	-
57	4,105 cycles	1,671,313,498×	10,588,332×	34,797,593,950×	-	534,635,650×	-	-	-	-	-	-	-	-	-
59	4,947 cycles	1,095,979,248×	20,810,776×	47,705,816,052×	-	457,459,034×	-	-	-	-	-	-	-	-	-
61	5,921 cycles	1,230,949,894×	33,803,250×	63,371,596,398×	-	397,179,008×	-	-	-	-	-	-	-	-	-
63	7,044 cycles	1,567,451,484×	202,470×	83,148,646,690×	-	396,704,466×	-	-	-	-	-	-	-	-	-
65	8,336 cycles	2,199,890,474×	2,964,688×	107,685,557,220×	-	635,735,122×	-	-	-	-	-	-	-	-	-
67	9,804 cycles	1,667,180,968×	4,401,850×	138,032,155,742×	-	2,762,937,330×	-	-	-	-	-	-	-	-	-
69	11,472 cycles	1,762,841,806×	8,658,490×	175,688,062,072×	-	4,905,070,072×	-	-	-	-	-	-	-	-	-
71	13,356 cycles	2,090,567,454×	20,589,906×	221,680,477,302×	-	8,108,662,528×	-	-	-	-	-	-	-	-	-
73	15,479 cycles	7,590,293,974×	39,762,448×	278,842,106,702×	-	6,579,924,766×	-	-	-	-	-	-	-	-	-
75	17,862 cycles	9,542,757,712×	61,263,086×	355,851,453,510×	-	2,681,310,698×	-	-	-	-	-	-	-	-	-
77	20,530 cycles	6,129,455,020×	95,403,516×	451,426,313,484×	-	2,205,269,950×	-	-	-	-	-	-	-	-	-
79	23,512 cycles	6,491,258,300×	159,172,636×	562,858,235,738×	-	1,841,693,556×	-	-	-	-	-	-	-	-	-