Base 4: Cycles Lengths: Odd 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] — [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]
[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	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
1	0 cycles	-	-	-
3	1 cycle	16×	-	-
5	1 cycle	-	52×	-
7	1 cycle	116×	-	-
9	3 cycles	216×	-	-
11	4 cycles	192×	-	168×
13	5 cycles	556×	-	-
15	8 cycles	812×	-	-
17	10 cycles	992×	-	144×
19	12 cycles	1,536×	-	-
21	16 cycles	2,020×	-	-
23	19 cycles	2,406×	-	190×
25	22 cycles	3,272×	-	-
27	27 cycles	4,056×	-	-
29	31 cycles	4,732×	-	224×
31	35 cycles	5,980×	-	-
33	41 cycles	7,136×	-	-
35	46 cycles	8,162×	-	270×
37	51 cycles	9,876×	-	-
39	58 cycles	11,476×	-	-
41	64 cycles	12,930×	-	310×
43	70 cycles	15,176×	-	-
45	78 cycles	17,292×	-	-
47	85 cycles	19,252×	-	344×
49	92 cycles	22,096×	-	-
51	101 cycles	24,800×	-	-
53	109 cycles	27,332×	-	384×
55	117 cycles	30,852×	-	-
57	127 cycles	34,216×	-	-
59	136 cycles	37,392×	-	424×
61	145 cycles	41,660×	-	-
63	156 cycles	45,756×	-	-
65	166 cycles	49,648×	-	464×
67	176 cycles	54,736×	-	-
69	188 cycles	59,636×	-	-
71	199 cycles	64,316×	-	504×
73	210 cycles	70,296×	-	-
75	223 cycles	76,072×	-	-
77	235 cycles	81,612×	-	544×
79	247 cycles	88,556×	-	-
81	261 cycles	95,280×	-	-
83	274 cycles	101,752×	-	584×
85	287 cycles	109,732×	-	-
87	302 cycles	117,476×	-	-
89	316 cycles	124,952×	-	624×
91	330 cycles	134,040×	-	-
93	346 cycles	142,876×	-	-
95	361 cycles	151,428×	-	664×
97	376 cycles	161,696×	-	-
99	393 cycles	171,696×	-	-