Base 2: Cycles Sequences: Maximum Length Cycle Count

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]
Iteration Frequencies
[Cycle Start]
[Full Cycle]
Maximum Iteration Sequences
[Cycle Start]
[Full Cycle]
Cycles Sequences
[Maximum Length Cycle Count] — [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]
[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)	Max Cycle Length	Longest Full Cycles (excluding zero) (bold = exactly one cycle [excluding zero])
1	0 cycles	-	-
2	1 cycle	(fixed) 1 node	⮎ 01 ⮌
3	1 cycle	(fixed) 1 node	⮎ 011 ⮌
4	2 cycles	(fixed) 1 node	⮎ 1001 ⮌
5	2 cycles	(fixed) 1 node	⮎ 10101 ⮌
6	3 cycles	(fixed) 1 node	⮎ 110001 ⮌
7	3 cycles	(fixed) 1 node	⮎ 1101001 ⮌
8	4 cycles	(fixed) 1 node	⮎ 11100001 ⮌
9	4 cycles	(fixed) 1 node	⮎ 111010001 ⮌
10	5 cycles	(fixed) 1 node	⮎ 1111000001 ⮌
11	5 cycles	(fixed) 1 node	⮎ 11110100001 ⮌
12	6 cycles	(fixed) 1 node	⮎ 111110000001 ⮌
13	6 cycles	(fixed) 1 node	⮎ 1111101000001 ⮌
14	7 cycles	(fixed) 1 node	⮎ 11111100000001 ⮌
15	7 cycles	(fixed) 1 node	⮎ 111111010000001 ⮌
16	8 cycles	(fixed) 1 node	⮎ 1111111000000001 ⮌
17	8 cycles	(fixed) 1 node	⮎ 11111110100000001 ⮌
18	9 cycles	(fixed) 1 node	⮎ 111111110000000001 ⮌
19	9 cycles	(fixed) 1 node	⮎ 1111111101000000001 ⮌
20	10 cycles	(fixed) 1 node	⮎ 11111111100000000001 ⮌
21	10 cycles	(fixed) 1 node	⮎ 111111111010000000001 ⮌
22	11 cycles	(fixed) 1 node	⮎ 1111111111000000000001 ⮌
23	11 cycles	(fixed) 1 node	⮎ 11111111110100000000001 ⮌
24	12 cycles	(fixed) 1 node	⮎ 111111111110000000000001 ⮌
25	12 cycles	(fixed) 1 node	⮎ 1111111111101000000000001 ⮌
26	13 cycles	(fixed) 1 node	⮎ 11111111111100000000000001 ⮌
27	13 cycles	(fixed) 1 node	⮎ 111111111111010000000000001 ⮌
28	14 cycles	(fixed) 1 node	⮎ 1111111111111000000000000001 ⮌
29	14 cycles	(fixed) 1 node	⮎ 11111111111110100000000000001 ⮌
30	15 cycles	(fixed) 1 node	⮎ 111111111111110000000000000001 ⮌
31	15 cycles	(fixed) 1 node	⮎ 1111111111111101000000000000001 ⮌
32	16 cycles	(fixed) 1 node	⮎ 11111111111111100000000000000001 ⮌
33	16 cycles	(fixed) 1 node	⮎ 111111111111111010000000000000001 ⮌
34	17 cycles	(fixed) 1 node	⮎ 1111111111111111000000000000000001 ⮌
35	17 cycles	(fixed) 1 node	⮎ 11111111111111110100000000000000001 ⮌
36	18 cycles	(fixed) 1 node	⮎ 111111111111111110000000000000000001 ⮌
37	18 cycles	(fixed) 1 node	⮎ 1111111111111111101000000000000000001 ⮌
38	19 cycles	(fixed) 1 node	⮎ 11111111111111111100000000000000000001 ⮌
39	19 cycles	(fixed) 1 node	⮎ 111111111111111111010000000000000000001 ⮌
40	20 cycles	(fixed) 1 node	⮎ 1111111111111111111000000000000000000001 ⮌
41	20 cycles	(fixed) 1 node	⮎ 11111111111111111110100000000000000000001 ⮌
42	21 cycles	(fixed) 1 node	⮎ 111111111111111111110000000000000000000001 ⮌
43	21 cycles	(fixed) 1 node	⮎ 1111111111111111111101000000000000000000001 ⮌
44	22 cycles	(fixed) 1 node	⮎ 11111111111111111111100000000000000000000001 ⮌
45	22 cycles	(fixed) 1 node	⮎ 111111111111111111111010000000000000000000001 ⮌
46	23 cycles	(fixed) 1 node	⮎ 1111111111111111111111000000000000000000000001 ⮌
47	23 cycles	(fixed) 1 node	⮎ 11111111111111111111110100000000000000000000001 ⮌
48	24 cycles	(fixed) 1 node	⮎ 111111111111111111111110000000000000000000000001 ⮌
49	24 cycles	(fixed) 1 node	⮎ 1111111111111111111111101000000000000000000000001 ⮌
50	25 cycles	(fixed) 1 node	⮎ 11111111111111111111111100000000000000000000000001 ⮌
51	25 cycles	(fixed) 1 node	⮎ 111111111111111111111111010000000000000000000000001 ⮌
52	26 cycles	(fixed) 1 node	⮎ 1111111111111111111111111000000000000000000000000001 ⮌
53	26 cycles	(fixed) 1 node	⮎ 11111111111111111111111110100000000000000000000000001 ⮌
54	27 cycles	(fixed) 1 node	⮎ 111111111111111111111111110000000000000000000000000001 ⮌
55	27 cycles	(fixed) 1 node	⮎ 1111111111111111111111111101000000000000000000000000001 ⮌
56	28 cycles	(fixed) 1 node	⮎ 11111111111111111111111111100000000000000000000000000001 ⮌
57	28 cycles	(fixed) 1 node	⮎ 111111111111111111111111111010000000000000000000000000001 ⮌
58	29 cycles	(fixed) 1 node	⮎ 1111111111111111111111111111000000000000000000000000000001 ⮌
59	29 cycles	(fixed) 1 node	⮎ 11111111111111111111111111110100000000000000000000000000001 ⮌
60	30 cycles	(fixed) 1 node	⮎ 111111111111111111111111111110000000000000000000000000000001 ⮌
61	30 cycles	(fixed) 1 node	⮎ 1111111111111111111111111111101000000000000000000000000000001 ⮌
62	31 cycles	(fixed) 1 node	⮎ 11111111111111111111111111111100000000000000000000000000000001 ⮌
63	31 cycles	(fixed) 1 node	⮎ 111111111111111111111111111111010000000000000000000000000000001 ⮌
64	32 cycles	(fixed) 1 node	⮎ 1111111111111111111111111111111000000000000000000000000000000001 ⮌
65	32 cycles	(fixed) 1 node	⮎ 11111111111111111111111111111110100000000000000000000000000000001 ⮌
66	33 cycles	(fixed) 1 node	⮎ 111111111111111111111111111111110000000000000000000000000000000001 ⮌
67	33 cycles	(fixed) 1 node	⮎ 1111111111111111111111111111111101000000000000000000000000000000001 ⮌
68	34 cycles	(fixed) 1 node	⮎ 11111111111111111111111111111111100000000000000000000000000000000001 ⮌
69	34 cycles	(fixed) 1 node	⮎ 111111111111111111111111111111111010000000000000000000000000000000001 ⮌
70	35 cycles	(fixed) 1 node	⮎ 1111111111111111111111111111111111000000000000000000000000000000000001 ⮌
71	35 cycles	(fixed) 1 node	⮎ 11111111111111111111111111111111110100000000000000000000000000000000001 ⮌
72	36 cycles	(fixed) 1 node	⮎ 111111111111111111111111111111111110000000000000000000000000000000000001 ⮌
73	36 cycles	(fixed) 1 node	⮎ 1111111111111111111111111111111111101000000000000000000000000000000000001 ⮌
74	37 cycles	(fixed) 1 node	⮎ 11111111111111111111111111111111111100000000000000000000000000000000000001 ⮌
75	37 cycles	(fixed) 1 node	⮎ 111111111111111111111111111111111111010000000000000000000000000000000000001 ⮌
76	38 cycles	(fixed) 1 node	⮎ 1111111111111111111111111111111111111000000000000000000000000000000000000001 ⮌
77	38 cycles	(fixed) 1 node	⮎ 11111111111111111111111111111111111110100000000000000000000000000000000000001 ⮌
78	39 cycles	(fixed) 1 node	⮎ 111111111111111111111111111111111111110000000000000000000000000000000000000001 ⮌
79	39 cycles	(fixed) 1 node	⮎ 1111111111111111111111111111111111111101000000000000000000000000000000000000001 ⮌
80	40 cycles	(fixed) 1 node	⮎ 11111111111111111111111111111111111111100000000000000000000000000000000000000001 ⮌
81	40 cycles	(fixed) 1 node	⮎ 111111111111111111111111111111111111111010000000000000000000000000000000000000001 ⮌
82	41 cycles	(fixed) 1 node	⮎ 1111111111111111111111111111111111111111000000000000000000000000000000000000000001 ⮌
83	41 cycles	(fixed) 1 node	⮎ 11111111111111111111111111111111111111110100000000000000000000000000000000000000001 ⮌
84	42 cycles	(fixed) 1 node	⮎ 111111111111111111111111111111111111111110000000000000000000000000000000000000000001 ⮌
85	42 cycles	(fixed) 1 node	⮎ 1111111111111111111111111111111111111111101000000000000000000000000000000000000000001 ⮌
86	43 cycles	(fixed) 1 node	⮎ 11111111111111111111111111111111111111111100000000000000000000000000000000000000000001 ⮌
87	43 cycles	(fixed) 1 node	⮎ 111111111111111111111111111111111111111111010000000000000000000000000000000000000000001 ⮌
88	44 cycles	(fixed) 1 node	⮎ 1111111111111111111111111111111111111111111000000000000000000000000000000000000000000001 ⮌
89	44 cycles	(fixed) 1 node	⮎ 11111111111111111111111111111111111111111110100000000000000000000000000000000000000000001 ⮌
90	45 cycles	(fixed) 1 node	⮎ 111111111111111111111111111111111111111111110000000000000000000000000000000000000000000001 ⮌
91	45 cycles	(fixed) 1 node	⮎ 1111111111111111111111111111111111111111111101000000000000000000000000000000000000000000001 ⮌
92	46 cycles	(fixed) 1 node	⮎ 11111111111111111111111111111111111111111111100000000000000000000000000000000000000000000001 ⮌
93	46 cycles	(fixed) 1 node	⮎ 111111111111111111111111111111111111111111111010000000000000000000000000000000000000000000001 ⮌
94	47 cycles	(fixed) 1 node	⮎ 1111111111111111111111111111111111111111111111000000000000000000000000000000000000000000000001 ⮌
95	47 cycles	(fixed) 1 node	⮎ 11111111111111111111111111111111111111111111110100000000000000000000000000000000000000000000001 ⮌
96	48 cycles	(fixed) 1 node	⮎ 111111111111111111111111111111111111111111111110000000000000000000000000000000000000000000000001 ⮌
97	48 cycles	(fixed) 1 node	⮎ 1111111111111111111111111111111111111111111111101000000000000000000000000000000000000000000000001 ⮌
98	49 cycles	(fixed) 1 node	⮎ 11111111111111111111111111111111111111111111111100000000000000000000000000000000000000000000000001 ⮌
99	49 cycles	(fixed) 1 node	⮎ 111111111111111111111111111111111111111111111111010000000000000000000000000000000000000000000000001 ⮌
100	50 cycles	(fixed) 1 node	⮎ 1111111111111111111111111111111111111111111111111000000000000000000000000000000000000000000000000001 ⮌