Base 2: 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] — [Base 2] [3] [4] [5] [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]
[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

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
1	0 cycles	-
2	1 cycle	1×
3	1 cycle	2×
4	2 cycles	3×
5	2 cycles	4×
6	3 cycles	5×
7	3 cycles	6×
8	4 cycles	7×
9	4 cycles	8×
10	5 cycles	9×
11	5 cycles	10×
12	6 cycles	11×
13	6 cycles	12×
14	7 cycles	13×
15	7 cycles	14×
16	8 cycles	15×
17	8 cycles	16×
18	9 cycles	17×
19	9 cycles	18×
20	10 cycles	19×
21	10 cycles	20×
22	11 cycles	21×
23	11 cycles	22×
24	12 cycles	23×
25	12 cycles	24×
26	13 cycles	25×
27	13 cycles	26×
28	14 cycles	27×
29	14 cycles	28×
30	15 cycles	29×
31	15 cycles	30×
32	16 cycles	31×
33	16 cycles	32×
34	17 cycles	33×
35	17 cycles	34×
36	18 cycles	35×
37	18 cycles	36×
38	19 cycles	37×
39	19 cycles	38×
40	20 cycles	39×
41	20 cycles	40×
42	21 cycles	41×
43	21 cycles	42×
44	22 cycles	43×
45	22 cycles	44×
46	23 cycles	45×
47	23 cycles	46×
48	24 cycles	47×
49	24 cycles	48×
50	25 cycles	49×
51	25 cycles	50×
52	26 cycles	51×
53	26 cycles	52×
54	27 cycles	53×
55	27 cycles	54×
56	28 cycles	55×
57	28 cycles	56×
58	29 cycles	57×
59	29 cycles	58×
60	30 cycles	59×
61	30 cycles	60×
62	31 cycles	61×
63	31 cycles	62×
64	32 cycles	63×
65	32 cycles	64×
66	33 cycles	65×
67	33 cycles	66×
68	34 cycles	67×
69	34 cycles	68×
70	35 cycles	69×
71	35 cycles	70×
72	36 cycles	71×
73	36 cycles	72×
74	37 cycles	73×
75	37 cycles	74×
76	38 cycles	75×
77	38 cycles	76×
78	39 cycles	77×
79	39 cycles	78×
80	40 cycles	79×
81	40 cycles	80×
82	41 cycles	81×
83	41 cycles	82×
84	42 cycles	83×
85	42 cycles	84×
86	43 cycles	85×
87	43 cycles	86×
88	44 cycles	87×
89	44 cycles	88×
90	45 cycles	89×
91	45 cycles	90×
92	46 cycles	91×
93	46 cycles	92×
94	47 cycles	93×
95	47 cycles	94×
96	48 cycles	95×
97	48 cycles	96×
98	49 cycles	97×
99	49 cycles	98×
100	50 cycles	99×