Base 7: 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] [4] [5] [6] [Base 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	4	5	6

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
1	0 cycles	-	-	-	-	-	-	-	-	-	-	-	-	-	-
3	1 cycle	-	77×	-	-	-	-	-	-	-	-	-	-	-	-
5	1 cycle	-	-	-	-	455×	-	-	-	-	-	-	-	-	-
7	1 cycle	-	-	-	-	-	1,709×	-	-	-	-	-	-	-	-
9	1 cycle	-	-	-	-	-	-	-	-	-	-	4,998×	-	-	-
11	1 cycle	12,369×	-	-	-	-	-	-	-	-	-	-	-	-	-
13	3 cycles	6,963×	-	-	-	-	20,162×	-	-	-	-	-	-	-	-
15	4 cycles	29,102×	25,155×	-	-	-	-	-	-	-	-	-	-	-	-
17	5 cycles	66,533×	34,407×	-	-	-	-	-	-	-	-	-	-	-	-
19	8 cycles	62,520×	65,202×	-	49,371×	-	-	-	-	-	-	-	-	-	-
21	10 cycles	79,197×	99,793×	117,013×	-	-	-	-	-	-	-	-	-	-	-
23	13 cycles	138,417×	152,529×	184,067×	-	-	-	-	-	-	-	-	-	-	-
25	18 cycles	360,474×	222,520×	153,280×	-	-	-	-	-	-	-	-	-	-	-
27	20 cycles	233,071×	313,102×	561,388×	-	-	-	-	-	-	-	-	-	-	-
29	25 cycles	369,712×	433,371×	820,070×	-	-	-	-	-	-	-	-	-	-	-
31	30 cycles	491,724×	531,038×	1,302,015×	-	-	-	-	-	-	-	-	-	-	-
33	35 cycles	668,868×	754,979×	1,838,769×	-	-	-	-	-	-	-	-	-	-	-
35	43 cycles	852,576×	885,323×	2,357,629×	-	400,853×	-	-	-	-	-	-	-	-	-
37	51 cycles	998,529×	1,175,478×	3,140,412×	-	782,028×	-	-	-	-	-	-	-	-	-
39	56 cycles	1,335,806×	1,410,284×	3,862,758×	-	1,536,205×	-	-	-	-	-	-	-	-	-
41	63 cycles	1,717,296×	1,699,181×	4,539,570×	-	1,966,733×	814,786×	-	-	-	-	-	-	-	-
43	71 cycles	1,959,483×	1,974,819×	5,830,389×	-	2,690,220×	1,528,898×	-	-	-	-	-	-	-	-
45	79 cycles	2,356,686×	2,362,522×	7,023,830×	-	3,282,638×	2,983,777×	-	-	-	-	-	-	-	-
47	89 cycles	3,013,102×	3,537,421×	8,380,624×	348,667×	4,312,188×	3,365,471×	-	-	-	-	-	-	-	-
49	99 cycles	3,737,890×	4,472,993×	9,891,017×	609,984×	5,129,396×	5,148,388×	-	-	-	-	-	-	-	-
51	112 cycles	5,618,052×	5,304,470×	11,950,861×	1,045,941×	6,585,645×	5,783,276×	-	-	-	-	-	-	-	-
53	123 cycles	5,552,980×	5,994,648×	14,105,656×	4,063,892×	7,705,807×	7,634,484×	-	-	-	-	-	-	-	-
55	137 cycles	6,701,521×	7,159,626×	16,042,166×	7,397,082×	9,510,949×	8,714,021×	-	-	-	-	-	-	-	-
57	150 cycles	7,893,177×	8,824,871×	18,254,073×	10,628,357×	10,991,438×	11,353,598×	-	-	-	-	-	-	-	-
59	164 cycles	9,206,310×	9,772,164×	21,673,203×	13,309,787×	12,797,248×	13,167,430×	-	-	2,672,731×	-	-	-	-	-
61	177 cycles	10,658,894×	11,350,215×	24,649,517×	17,615,486×	15,254,661×	15,271,099×	-	-	4,995,817×	-	-	-	-	-
63	190 cycles	12,719,912×	13,421,507×	27,886,419×	20,371,997×	17,887,841×	17,515,916×	-	-	10,073,873×	-	-	-	-	-
65	210 cycles	14,716,051×	15,346,787×	32,842,477×	25,428,888×	19,548,724×	23,739,376×	-	-	11,596,689×	-	-	-	-	-
67	229 cycles	16,901,286×	18,539,138×	38,334,623×	29,121,120×	22,640,037×	27,420,003×	-	-	17,274,238×	-	-	-	-	-
69	246 cycles	19,493,409×	19,863,228×	45,316,860×	36,744,476×	26,932,892×	33,440,597×	-	-	19,568,081×	-	-	-	-	-
71	263 cycles	21,775,999×	22,325,767×	50,821,566×	42,561,772×	29,213,080×	37,775,959×	-	-	27,279,025×	-	5,340,605×	-	-	-
73	280 cycles	24,715,600×	24,738,762×	58,159,494×	49,027,439×	32,775,881×	47,089,845×	-	-	31,326,081×	-	10,129,576×	-	-	-
75	300 cycles	28,080,822×	27,444,493×	68,146,613×	56,034,840×	36,997,668×	51,278,278×	-	-	39,213,486×	-	17,344,009×	-	-	-
77	321 cycles	32,455,407×	32,642,590×	75,361,441×	65,423,738×	40,925,641×	59,523,203×	-	-	43,669,254×	6,524,771×	20,921,096×	-	-	-
79	343 cycles	36,404,415×	37,285,721×	83,856,984×	72,320,141×	45,606,239×	65,894,040×	-	-	53,368,370×	11,275,638×	31,342,005×	-	-	-
81	362 cycles	41,677,394×	41,565,541×	94,423,550×	81,820,189×	49,924,102×	76,499,211×	-	-	59,372,995×	24,165,391×	35,532,999×	-	-	-
83	384 cycles	46,564,440×	47,378,912×	105,039,008×	91,275,084×	55,223,724×	83,968,629×	-	-	78,667,006×	23,350,311×	49,639,867×	-	-	-
85	408 cycles	51,851,765×	52,831,871×	119,291,250×	103,984,635×	60,829,063×	95,392,395×	-	-	90,287,942×	37,038,376×	55,056,594×	-	-	-
87	433 cycles	61,984,750×	60,232,540×	130,909,208×	113,650,004×	67,110,296×	104,625,234×	-	-	113,687,034×	41,816,667×	68,229,744×	-	-	-
89	456 cycles	65,197,540×	66,950,316×	146,658,899×	126,493,579×	73,312,795×	119,705,461×	-	-	126,801,293×	55,628,436×	74,333,707×	-	-	14,025,752×
91	479 cycles	73,554,663×	72,241,619×	163,601,365×	140,205,425×	79,769,811×	129,125,712×	-	-	154,395,459×	61,224,128×	89,125,483×	-	-	24,928,696×
93	506 cycles	81,160,831×	81,700,037×	179,544,564×	155,902,087×	86,459,141×	144,315,659×	-	-	167,026,085×	75,182,966×	100,848,028×	-	-	48,389,851×
95	534 cycles	89,290,884×	87,880,629×	197,665,922×	170,157,347×	112,087,707×	156,075,959×	-	-	200,623,754×	83,850,698×	118,495,416×	-	-	51,211,597×
97	565 cycles	98,737,235×	98,659,960×	216,036,488×	186,317,161×	131,500,286×	176,051,289×	-	-	217,236,305×	105,345,540×	125,125,448×	-	-	74,830,616×
99	591 cycles	109,168,440×	105,419,610×	236,473,923×	203,015,028×	171,680,184×	190,012,091×	-	-	248,871,027×	111,439,588×	149,417,304×	-	-	83,846,898×