Base 2: Summary: Even Digit Sets

Blog: The First Pixel: Kaprekar's Constant 6174

Summary
[All Digit Sets]
[Odd Digit Sets]
[Even 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]
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)
2	3	1 fixed pt	1 cycle	1 node	0.33 avg steps	1 max steps	1.33 avg steps	2 max steps	1 final number
4	5	2 fixed pts	2 cycles	1 node	0.60 avg steps	1 max steps	1.60 avg steps	2 max steps	2 final numbers
6	7	3 fixed pts	3 cycles	1 node	0.71 avg steps	1 max steps	1.71 avg steps	2 max steps	3 final numbers
8	9	4 fixed pts	4 cycles	1 node	0.78 avg steps	1 max steps	1.78 avg steps	2 max steps	4 final numbers
10	11	5 fixed pts	5 cycles	1 node	0.82 avg steps	1 max steps	1.82 avg steps	2 max steps	5 final numbers
12	13	6 fixed pts	6 cycles	1 node	0.85 avg steps	1 max steps	1.85 avg steps	2 max steps	6 final numbers
14	15	7 fixed pts	7 cycles	1 node	0.87 avg steps	1 max steps	1.87 avg steps	2 max steps	7 final numbers
16	17	8 fixed pts	8 cycles	1 node	0.88 avg steps	1 max steps	1.88 avg steps	2 max steps	8 final numbers
18	19	9 fixed pts	9 cycles	1 node	0.89 avg steps	1 max steps	1.89 avg steps	2 max steps	9 final numbers
20	21	10 fixed pts	10 cycles	1 node	0.90 avg steps	1 max steps	1.90 avg steps	2 max steps	10 final numbers
22	23	11 fixed pts	11 cycles	1 node	0.91 avg steps	1 max steps	1.91 avg steps	2 max steps	11 final numbers
24	25	12 fixed pts	12 cycles	1 node	0.92 avg steps	1 max steps	1.92 avg steps	2 max steps	12 final numbers
26	27	13 fixed pts	13 cycles	1 node	0.93 avg steps	1 max steps	1.93 avg steps	2 max steps	13 final numbers
28	29	14 fixed pts	14 cycles	1 node	0.93 avg steps	1 max steps	1.93 avg steps	2 max steps	14 final numbers
30	31	15 fixed pts	15 cycles	1 node	0.94 avg steps	1 max steps	1.94 avg steps	2 max steps	15 final numbers
32	33	16 fixed pts	16 cycles	1 node	0.94 avg steps	1 max steps	1.94 avg steps	2 max steps	16 final numbers
34	35	17 fixed pts	17 cycles	1 node	0.94 avg steps	1 max steps	1.94 avg steps	2 max steps	17 final numbers
36	37	18 fixed pts	18 cycles	1 node	0.95 avg steps	1 max steps	1.95 avg steps	2 max steps	18 final numbers
38	39	19 fixed pts	19 cycles	1 node	0.95 avg steps	1 max steps	1.95 avg steps	2 max steps	19 final numbers
40	41	20 fixed pts	20 cycles	1 node	0.95 avg steps	1 max steps	1.95 avg steps	2 max steps	20 final numbers
42	43	21 fixed pts	21 cycles	1 node	0.95 avg steps	1 max steps	1.95 avg steps	2 max steps	21 final numbers
44	45	22 fixed pts	22 cycles	1 node	0.96 avg steps	1 max steps	1.96 avg steps	2 max steps	22 final numbers
46	47	23 fixed pts	23 cycles	1 node	0.96 avg steps	1 max steps	1.96 avg steps	2 max steps	23 final numbers
48	49	24 fixed pts	24 cycles	1 node	0.96 avg steps	1 max steps	1.96 avg steps	2 max steps	24 final numbers
50	51	25 fixed pts	25 cycles	1 node	0.96 avg steps	1 max steps	1.96 avg steps	2 max steps	25 final numbers
52	53	26 fixed pts	26 cycles	1 node	0.96 avg steps	1 max steps	1.96 avg steps	2 max steps	26 final numbers
54	55	27 fixed pts	27 cycles	1 node	0.96 avg steps	1 max steps	1.96 avg steps	2 max steps	27 final numbers
56	57	28 fixed pts	28 cycles	1 node	0.96 avg steps	1 max steps	1.96 avg steps	2 max steps	28 final numbers
58	59	29 fixed pts	29 cycles	1 node	0.97 avg steps	1 max steps	1.97 avg steps	2 max steps	29 final numbers
60	61	30 fixed pts	30 cycles	1 node	0.97 avg steps	1 max steps	1.97 avg steps	2 max steps	30 final numbers
62	63	31 fixed pts	31 cycles	1 node	0.97 avg steps	1 max steps	1.97 avg steps	2 max steps	31 final numbers
64	65	32 fixed pts	32 cycles	1 node	0.97 avg steps	1 max steps	1.97 avg steps	2 max steps	32 final numbers
66	67	33 fixed pts	33 cycles	1 node	0.97 avg steps	1 max steps	1.97 avg steps	2 max steps	33 final numbers
68	69	34 fixed pts	34 cycles	1 node	0.97 avg steps	1 max steps	1.97 avg steps	2 max steps	34 final numbers
70	71	35 fixed pts	35 cycles	1 node	0.97 avg steps	1 max steps	1.97 avg steps	2 max steps	35 final numbers
72	73	36 fixed pts	36 cycles	1 node	0.97 avg steps	1 max steps	1.97 avg steps	2 max steps	36 final numbers
74	75	37 fixed pts	37 cycles	1 node	0.97 avg steps	1 max steps	1.97 avg steps	2 max steps	37 final numbers
76	77	38 fixed pts	38 cycles	1 node	0.97 avg steps	1 max steps	1.97 avg steps	2 max steps	38 final numbers
78	79	39 fixed pts	39 cycles	1 node	0.97 avg steps	1 max steps	1.97 avg steps	2 max steps	39 final numbers
80	81	40 fixed pts	40 cycles	1 node	0.98 avg steps	1 max steps	1.98 avg steps	2 max steps	40 final numbers
82	83	41 fixed pts	41 cycles	1 node	0.98 avg steps	1 max steps	1.98 avg steps	2 max steps	41 final numbers
84	85	42 fixed pts	42 cycles	1 node	0.98 avg steps	1 max steps	1.98 avg steps	2 max steps	42 final numbers
86	87	43 fixed pts	43 cycles	1 node	0.98 avg steps	1 max steps	1.98 avg steps	2 max steps	43 final numbers
88	89	44 fixed pts	44 cycles	1 node	0.98 avg steps	1 max steps	1.98 avg steps	2 max steps	44 final numbers
90	91	45 fixed pts	45 cycles	1 node	0.98 avg steps	1 max steps	1.98 avg steps	2 max steps	45 final numbers
92	93	46 fixed pts	46 cycles	1 node	0.98 avg steps	1 max steps	1.98 avg steps	2 max steps	46 final numbers
94	95	47 fixed pts	47 cycles	1 node	0.98 avg steps	1 max steps	1.98 avg steps	2 max steps	47 final numbers
96	97	48 fixed pts	48 cycles	1 node	0.98 avg steps	1 max steps	1.98 avg steps	2 max steps	48 final numbers
98	99	49 fixed pts	49 cycles	1 node	0.98 avg steps	1 max steps	1.98 avg steps	2 max steps	49 final numbers
100	101	50 fixed pts	50 cycles	1 node	0.98 avg steps	1 max steps	1.98 avg steps	2 max steps	50 final numbers