Base 16: 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] [6] [7] [8] [9] [10] [11] [12] [13] [14] [15] [Base 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	6	7	8	9	A	B	C	D	E	F

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
1	0 cycles	-	-	-	-	-	-	-	-	-	-	-	-	-	-	-
2	2 cycles	-	-	-	120×	-	-	-	-	-	-	-	-	-	-	-
3	1 cycle	800×	-	-	-	-	-	-	-	-	-	-	-	-	-	-
4	4 cycles	-	344×	764×	812×	-	1,940×	-	-	-	-	-	-	-	-	-
5	3 cycles	-	270×	10,386×	4,832×	-	-	-	-	-	-	-	-	-	-	-
6	6 cycles	72×	226×	-	4,220×	49,730×	-	-	-	-	-	-	-	-	-	-
7	3 cycles	13,266×	-	-	-	-	-	-	-	51,498×	-	105,764×	-	-	-	-
8	8 cycles	-	274×	-	292,586×	-	-	-	197,438×	-	-	-	-	-	-	-
9	5 cycles	23,300×	-	-	-	-	256,188×	443,256×	584,744×	-	-	-	-	-	-	-
10	20 cycles	2,959×	322×	-	1,523,577×	70,872×	-	-	1,671,014×	-	-	-	-	-	-	-
11	4 cycles	1,149,790×	-	613,862×	-	-	-	-	4,185,466×	1,777,026×	-	-	-	-	-	-
12	39 cycles	39,158×	57,918×	-	8,596,220×	-	-	-	8,690,548×	-	-	-	-	-	-	-
13	4 cycles	70,892×	11,921,850×	-	25,449,402×	-	-	-	-	-	-	-	-	-	-	-
14	73 cycles	445,138×	452,874×	-	41,242,034×	-	-	-	35,418,698×	-	-	-	-	-	-	-
15	6 cycles	5,319,398×	13,463,238×	-	-	-	-	-	-	-	-	-	-	-	-	136,334,868×
16	129 cycles	1,221,960×	2,598,069×	-	168,079,716×	-	-	-	128,640,434×	-	-	-	-	-	-	-
17	6 cycles	509,481,030×	56,241,674×	-	-	-	-	-	-	-	-	-	-	-	-	-
18	232 cycles	4,084,880×	11,835,671×	-	623,360,667×	-	-	-	397,877,086×	-	-	-	-	-	-	-
19	10 cycles	54,593,848×	1,750,133,256×	-	-	-	51,240,400×	-	-	-	-	-	-	-	-	-
20	411 cycles	8,352,432×	41,399,336×	-	2,013,030,497×	-	-	-	1,185,160,879×	-	-	-	-	-	-	-
21	20 cycles	398,437,356×	4,321,534,606×	113,407,400×	-	-	734,523,182×	-	-	-	-	-	-	-	-	-
22	729 cycles	20,049,764×	146,790,414×	914,542×	5,927,841,822×	-	-	-	3,268,603,202×	-	-	-	-	-	-	-
23	27 cycles	77,959,578×	11,039,347,686×	449,873,412×	-	-	3,904,105,868×	-	-	-	-	-	-	-	-	-
24	1,265 cycles	83,712,967×	473,730,313×	-	16,120,186,634×	-	-	-	8,463,210,730×	-	-	-	-	-	-	-
25	41 cycles	166,969,702×	23,932,528,382×	3,329,474,748×	-	-	12,796,372,208×	-	-	-	-	-	-	-	-	-
26	2,150 cycles	295,420,565×	1,540,327,679×	-	41,134,245,712×	-	-	-	20,462,280,924×	-	-	-	-	-	-	-
27	62 cycles	220,026,662×	49,175,574,462×	6,429,751,422×	240,001,046×	-	42,607,074,008×	-	-	-	-	-	-	-	-	-