Base 2: Summary: Odd Digit Sets

Blog: The First Pixel: Kaprekar's Constant 6174

Summary
[All Digit Sets]
[Odd 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]
[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]
[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	# Start Numbers	# Fixed Points (excluding zero)	# Cycles (including fixed) (excluding zero)	Full Cycle Max Length	Avg Steps including Cycle Start	Max Steps including Cycle Start	Avg Steps including Full Cycle	Max Steps including Full Cycle	# Final Numbers (excluding zero)
1	2	0 fixed pts	0 cycles	0 nodes	0.50 avg steps	1 max steps	1.50 avg steps	2 max steps	0 final numbers
3	4	1 fixed pt	1 cycle	1 node	0.50 avg steps	1 max steps	1.50 avg steps	2 max steps	1 final number
5	6	2 fixed pts	2 cycles	1 node	0.67 avg steps	1 max steps	1.67 avg steps	2 max steps	2 final numbers
7	8	3 fixed pts	3 cycles	1 node	0.75 avg steps	1 max steps	1.75 avg steps	2 max steps	3 final numbers
9	10	4 fixed pts	4 cycles	1 node	0.80 avg steps	1 max steps	1.80 avg steps	2 max steps	4 final numbers
11	12	5 fixed pts	5 cycles	1 node	0.83 avg steps	1 max steps	1.83 avg steps	2 max steps	5 final numbers
13	14	6 fixed pts	6 cycles	1 node	0.86 avg steps	1 max steps	1.86 avg steps	2 max steps	6 final numbers
15	16	7 fixed pts	7 cycles	1 node	0.88 avg steps	1 max steps	1.88 avg steps	2 max steps	7 final numbers
17	18	8 fixed pts	8 cycles	1 node	0.89 avg steps	1 max steps	1.89 avg steps	2 max steps	8 final numbers
19	20	9 fixed pts	9 cycles	1 node	0.90 avg steps	1 max steps	1.90 avg steps	2 max steps	9 final numbers
21	22	10 fixed pts	10 cycles	1 node	0.91 avg steps	1 max steps	1.91 avg steps	2 max steps	10 final numbers
23	24	11 fixed pts	11 cycles	1 node	0.92 avg steps	1 max steps	1.92 avg steps	2 max steps	11 final numbers
25	26	12 fixed pts	12 cycles	1 node	0.92 avg steps	1 max steps	1.92 avg steps	2 max steps	12 final numbers
27	28	13 fixed pts	13 cycles	1 node	0.93 avg steps	1 max steps	1.93 avg steps	2 max steps	13 final numbers
29	30	14 fixed pts	14 cycles	1 node	0.93 avg steps	1 max steps	1.93 avg steps	2 max steps	14 final numbers
31	32	15 fixed pts	15 cycles	1 node	0.94 avg steps	1 max steps	1.94 avg steps	2 max steps	15 final numbers
33	34	16 fixed pts	16 cycles	1 node	0.94 avg steps	1 max steps	1.94 avg steps	2 max steps	16 final numbers
35	36	17 fixed pts	17 cycles	1 node	0.94 avg steps	1 max steps	1.94 avg steps	2 max steps	17 final numbers
37	38	18 fixed pts	18 cycles	1 node	0.95 avg steps	1 max steps	1.95 avg steps	2 max steps	18 final numbers
39	40	19 fixed pts	19 cycles	1 node	0.95 avg steps	1 max steps	1.95 avg steps	2 max steps	19 final numbers
41	42	20 fixed pts	20 cycles	1 node	0.95 avg steps	1 max steps	1.95 avg steps	2 max steps	20 final numbers
43	44	21 fixed pts	21 cycles	1 node	0.95 avg steps	1 max steps	1.95 avg steps	2 max steps	21 final numbers
45	46	22 fixed pts	22 cycles	1 node	0.96 avg steps	1 max steps	1.96 avg steps	2 max steps	22 final numbers
47	48	23 fixed pts	23 cycles	1 node	0.96 avg steps	1 max steps	1.96 avg steps	2 max steps	23 final numbers
49	50	24 fixed pts	24 cycles	1 node	0.96 avg steps	1 max steps	1.96 avg steps	2 max steps	24 final numbers
51	52	25 fixed pts	25 cycles	1 node	0.96 avg steps	1 max steps	1.96 avg steps	2 max steps	25 final numbers
53	54	26 fixed pts	26 cycles	1 node	0.96 avg steps	1 max steps	1.96 avg steps	2 max steps	26 final numbers
55	56	27 fixed pts	27 cycles	1 node	0.96 avg steps	1 max steps	1.96 avg steps	2 max steps	27 final numbers
57	58	28 fixed pts	28 cycles	1 node	0.97 avg steps	1 max steps	1.97 avg steps	2 max steps	28 final numbers
59	60	29 fixed pts	29 cycles	1 node	0.97 avg steps	1 max steps	1.97 avg steps	2 max steps	29 final numbers
61	62	30 fixed pts	30 cycles	1 node	0.97 avg steps	1 max steps	1.97 avg steps	2 max steps	30 final numbers
63	64	31 fixed pts	31 cycles	1 node	0.97 avg steps	1 max steps	1.97 avg steps	2 max steps	31 final numbers
65	66	32 fixed pts	32 cycles	1 node	0.97 avg steps	1 max steps	1.97 avg steps	2 max steps	32 final numbers
67	68	33 fixed pts	33 cycles	1 node	0.97 avg steps	1 max steps	1.97 avg steps	2 max steps	33 final numbers
69	70	34 fixed pts	34 cycles	1 node	0.97 avg steps	1 max steps	1.97 avg steps	2 max steps	34 final numbers
71	72	35 fixed pts	35 cycles	1 node	0.97 avg steps	1 max steps	1.97 avg steps	2 max steps	35 final numbers
73	74	36 fixed pts	36 cycles	1 node	0.97 avg steps	1 max steps	1.97 avg steps	2 max steps	36 final numbers
75	76	37 fixed pts	37 cycles	1 node	0.97 avg steps	1 max steps	1.97 avg steps	2 max steps	37 final numbers
77	78	38 fixed pts	38 cycles	1 node	0.97 avg steps	1 max steps	1.97 avg steps	2 max steps	38 final numbers
79	80	39 fixed pts	39 cycles	1 node	0.97 avg steps	1 max steps	1.98 avg steps	2 max steps	39 final numbers
81	82	40 fixed pts	40 cycles	1 node	0.98 avg steps	1 max steps	1.98 avg steps	2 max steps	40 final numbers
83	84	41 fixed pts	41 cycles	1 node	0.98 avg steps	1 max steps	1.98 avg steps	2 max steps	41 final numbers
85	86	42 fixed pts	42 cycles	1 node	0.98 avg steps	1 max steps	1.98 avg steps	2 max steps	42 final numbers
87	88	43 fixed pts	43 cycles	1 node	0.98 avg steps	1 max steps	1.98 avg steps	2 max steps	43 final numbers
89	90	44 fixed pts	44 cycles	1 node	0.98 avg steps	1 max steps	1.98 avg steps	2 max steps	44 final numbers
91	92	45 fixed pts	45 cycles	1 node	0.98 avg steps	1 max steps	1.98 avg steps	2 max steps	45 final numbers
93	94	46 fixed pts	46 cycles	1 node	0.98 avg steps	1 max steps	1.98 avg steps	2 max steps	46 final numbers
95	96	47 fixed pts	47 cycles	1 node	0.98 avg steps	1 max steps	1.98 avg steps	2 max steps	47 final numbers
97	98	48 fixed pts	48 cycles	1 node	0.98 avg steps	1 max steps	1.98 avg steps	2 max steps	48 final numbers
99	100	49 fixed pts	49 cycles	1 node	0.98 avg steps	1 max steps	1.98 avg steps	2 max steps	49 final numbers