Base 3: 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] [Base 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]
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

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	4	5	6	7	8	9	10	11	12	13	14	15	16	17	18	19	20	21	22	23
2	0 cycles	-	-	-	-	-	-	-	-	-	-	-	-	-	-	-	-	-	-	-	-	-	-	-
4	1 cycle	-	12×	-	-	-	-	-	-	-	-	-	-	-	-	-	-	-	-	-	-	-	-	-
6	1 cycle	-	-	25×	-	-	-	-	-	-	-	-	-	-	-	-	-	-	-	-	-	-	-	-
8	1 cycle	42×	-	-	-	-	-	-	-	-	-	-	-	-	-	-	-	-	-	-	-	-	-	-
10	2 cycles	23×	-	-	40×	-	-	-	-	-	-	-	-	-	-	-	-	-	-	-	-	-	-	-
12	2 cycles	23×	65×	-	-	-	-	-	-	-	-	-	-	-	-	-	-	-	-	-	-	-	-	-
14	3 cycles	79×	38×	-	-	-	-	-	-	-	-	-	-	-	-	-	-	-	-	-	-	-	-	-
16	4 cycles	44×	38×	68×	-	-	-	-	-	-	-	-	-	-	-	-	-	-	-	-	-	-	-	-
18	5 cycles	44×	38×	33×	-	72×	-	-	-	-	-	-	-	-	-	-	-	-	-	-	-	-	-	-
20	6 cycles	60×	38×	130×	-	-	-	-	-	-	-	-	-	-	-	-	-	-	-	-	-	-	-	-
22	7 cycles	52×	126×	95×	-	-	-	-	-	-	-	-	-	-	-	-	-	-	-	-	-	-	-	-
24	8 cycles	52×	75×	95×	-	100×	-	-	-	-	-	-	-	-	-	-	-	-	-	-	-	-	-	-
26	9 cycles	156×	75×	95×	-	49×	-	-	-	-	-	-	-	-	-	-	-	-	-	-	-	-	-	-
28	10 cycles	89×	75×	95×	-	49×	124×	-	-	-	-	-	-	-	-	-	-	-	-	-	-	-	-	-
30	11 cycles	89×	75×	215×	-	49×	65×	-	-	-	-	-	-	-	-	-	-	-	-	-	-	-	-	-
32	14 cycles	105×	107×	148×	84×	49×	65×	-	-	-	-	-	-	-	-	-	-	-	-	-	-	-	-	-
34	15 cycles	97×	91×	148×	41×	49×	201×	-	-	-	-	-	-	-	-	-	-	-	-	-	-	-	-	-
36	16 cycles	97×	91×	148×	250×	49×	65×	-	-	-	-	-	-	-	-	-	-	-	-	-	-	-	-	-
38	18 cycles	129×	91×	268×	175×	49×	65×	-	-	-	-	-	-	-	-	-	-	-	-	-	-	-	-	-
40	19 cycles	113×	91×	201×	175×	49×	65×	-	-	164×	-	-	-	-	-	-	-	-	-	-	-	-	-	-
42	20 cycles	113×	259×	201×	175×	49×	65×	-	-	81×	-	-	-	-	-	-	-	-	-	-	-	-	-	-
44	23 cycles	129×	160×	249×	175×	49×	189×	-	-	81×	-	-	-	-	-	-	-	-	-	-	-	-	-	-
46	24 cycles	121×	160×	225×	175×	233×	130×	-	-	81×	-	-	-	-	-	-	-	-	-	-	-	-	-	-
48	25 cycles	121×	160×	225×	175×	134×	130×	-	-	81×	-	196×	-	-	-	-	-	-	-	-	-	-	-	-
50	26 cycles	321×	160×	225×	175×	134×	130×	-	-	81×	-	97×	-	-	-	-	-	-	-	-	-	-	-	-
52	28 cycles	190×	192×	225×	175×	134×	130×	-	-	81×	204×	97×	-	-	-	-	-	-	-	-	-	-	-	-
54	29 cycles	190×	176×	225×	175×	134×	346×	-	-	81×	113×	97×	-	-	-	-	-	-	-	-	-	-	-	-
56	32 cycles	206×	176×	273×	175×	134×	231×	-	-	245×	113×	97×	-	-	-	-	-	-	-	-	-	-	-	-
58	33 cycles	198×	176×	481×	175×	134×	231×	-	-	162×	113×	97×	-	-	-	-	-	-	-	-	-	-	-	-
60	34 cycles	198×	176×	350×	175×	134×	231×	-	-	162×	113×	97×	-	-	252×	-	-	-	-	-	-	-	-	-
62	37 cycles	230×	240×	350×	327×	134×	231×	-	-	162×	113×	97×	-	-	129×	-	-	-	-	-	-	-	-	-
64	40 cycles	214×	208×	350×	244×	394×	231×	-	-	162×	113×	97×	-	-	129×	-	-	-	-	-	-	-	-	-
66	41 cycles	214×	208×	350×	244×	263×	231×	264×	-	162×	113×	97×	-	-	129×	-	-	-	-	-	-	-	-	-
68	44 cycles	230×	208×	350×	244×	648×	231×	-	-	162×	113×	97×	-	-	129×	-	-	-	-	-	-	-	-	-
70	46 cycles	222×	208×	350×	524×	517×	231×	-	-	162×	113×	97×	-	-	129×	-	-	-	-	-	-	-	-	-
72	49 cycles	222×	240×	398×	377×	517×	231×	-	-	162×	113×	97×	212×	-	129×	-	-	-	-	-	-	-	-	-
74	51 cycles	286×	224×	606×	377×	517×	231×	-	-	162×	113×	97×	105×	-	129×	-	-	-	-	-	-	-	-	-
76	52 cycles	254×	224×	475×	377×	517×	231×	-	-	162×	113×	97×	105×	-	129×	-	-	-	316×	-	-	-	-	-
78	53 cycles	254×	224×	475×	377×	517×	231×	-	-	474×	113×	97×	105×	-	129×	-	-	-	161×	-	-	-	-	-
80	56 cycles	270×	224×	475×	377×	517×	327×	-	-	311×	113×	97×	317×	-	129×	-	-	-	161×	-	-	-	-	-
82	57 cycles	262×	552×	475×	377×	517×	279×	-	-	311×	113×	97×	210×	-	129×	-	-	-	161×	-	-	-	-	-
84	59 cycles	262×	357×	475×	377×	517×	279×	-	-	311×	477×	97×	210×	-	129×	-	-	-	161×	-	-	-	-	-
86	62 cycles	294×	357×	571×	377×	517×	495×	-	-	311×	306×	97×	210×	-	129×	-	-	-	161×	-	-	-	-	-
88	65 cycles	278×	357×	523×	377×	517×	380×	356×	-	311×	306×	97×	210×	-	129×	-	-	-	161×	-	-	-	-	-
90	66 cycles	278×	357×	523×	377×	877×	380×	177×	-	311×	306×	97×	210×	-	129×	-	-	-	161×	-	-	-	-	-
92	71 cycles	294×	389×	571×	441×	682×	380×	177×	-	311×	306×	97×	430×	-	129×	-	-	-	161×	-	-	-	-	-
94	72 cycles	286×	373×	547×	409×	682×	380×	177×	-	311×	306×	473×	323×	-	129×	-	-	-	161×	-	-	-	-	-
96	73 cycles	286×	373×	547×	409×	682×	380×	177×	-	311×	306×	278×	323×	-	129×	-	-	-	161×	-	-	-	-	388×
98	74 cycles	678×	373×	547×	409×	682×	380×	177×	-	311×	306×	278×	323×	-	129×	-	-	-	161×	-	-	-	-	193×
100	76 cycles	419×	373×	595×	409×	682×	380×	177×	-	311×	306×	278×	323×	-	129×	-	-	-	161×	-	-	412×	-	193×