Base 4: Cycles Lengths: Even 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]
[Odd Digit Sets]
[Even Digit Sets] — [2] [3] [Base 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]
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

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
2	1 cycle	-	6×	-
4	2 cycles	9×	22×	-
6	3 cycles	80×	-	-
8	4 cycles	61×	-	100×
10	5 cycles	282×	-	-
12	8 cycles	451×	-	-
14	10 cycles	434×	-	242×
16	12 cycles	965×	-	-
18	16 cycles	1,326×	-	-
20	19 cycles	1,583×	-	184×
22	22 cycles	2,296×	-	-
24	27 cycles	2,921×	-	-
26	31 cycles	3,414×	-	236×
28	35 cycles	4,491×	-	-
30	41 cycles	5,452×	-	-
32	46 cycles	6,279×	-	262×
34	51 cycles	7,766×	-	-
36	58 cycles	9,135×	-	-
38	64 cycles	10,324×	-	332×
40	70 cycles	12,337×	-	-
42	78 cycles	14,186×	-	-
44	85 cycles	15,849×	-	362×
46	92 cycles	18,420×	-	-
48	101 cycles	20,821×	-	-
50	109 cycles	22,990×	-	432×
52	117 cycles	26,231×	-	-
54	127 cycles	29,256×	-	-
56	136 cycles	32,061×	-	444×
58	145 cycles	35,986×	-	-
60	156 cycles	39,707×	-	-
62	166 cycles	43,170×	-	506×
64	176 cycles	47,901×	-	-
66	188 cycles	52,390×	-	-
68	199 cycles	56,613×	-	538×
70	210 cycles	62,192×	-	-
72	223 cycles	67,521×	-	-
74	235 cycles	72,522×	-	624×
76	247 cycles	79,075×	-	-
78	261 cycles	85,316×	-	-
80	274 cycles	91,251×	-	626×
82	287 cycles	98,766×	-	-
84	302 cycles	105,991×	-	-
86	316 cycles	112,858×	-	702×
88	330 cycles	121,481×	-	-
90	346 cycles	129,762×	-	-
92	361 cycles	137,703×	-	708×
94	376 cycles	147,436×	-	-
96	393 cycles	156,845×	-	-
98	409 cycles	165,826×	-	820×
100	425 cycles	176,847×	-	-