Base 11: Summary: Even Digit Sets

Blog: The First Pixel: Kaprekar's Constant 6174

Summary
[All Digit Sets]
[Odd Digit Sets]
[Even Digit Sets] — [2] [3] [4] [5] [6] [7] [8] [9] [10] [Base 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	2	3	4	5	6	7	8	9	A

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	66	1 fixed pt	1 cycle	1 node	2.61 avg steps	4 max steps	3.61 avg steps	5 max steps	1 final number
4	1,001	0 fixed pts	2 cycles	5 nodes	2.14 avg steps	4 max steps	7.10 avg steps	9 max steps	10 final numbers
6	8,008	0 fixed pts	1 cycle	4 nodes	6.53 avg steps	17 max steps	10.53 avg steps	21 max steps	4 final numbers
8	43,758	1 fixed pt	3 cycles	7 nodes	5.27 avg steps	16 max steps	11.23 avg steps	23 max steps	12 final numbers
10	184,756	0 fixed pts	4 cycles	11 nodes	6.15 avg steps	17 max steps	14.77 avg steps	28 max steps	22 final numbers
12	646,646	1 fixed pt	4 cycles	6 nodes	12.53 avg steps	29 max steps	18.31 avg steps	35 max steps	13 final numbers
14	1,961,256	0 fixed pts	4 cycles	17 nodes	7.17 avg steps	21 max steps	23.71 avg steps	38 max steps	25 final numbers
16	5,311,735	1 fixed pt	5 cycles	19 nodes	9.44 avg steps	24 max steps	28.10 avg steps	43 max steps	28 final numbers
18	13,123,110	1 fixed pt	6 cycles	20 nodes	11.28 avg steps	30 max steps	30.95 avg steps	50 max steps	31 final numbers
20	30,045,015	1 fixed pt	6 cycles	8 nodes	21.65 avg steps	56 max steps	29.60 avg steps	64 max steps	19 final numbers
22	64,512,240	0 fixed pts	7 cycles	24 nodes	14.44 avg steps	41 max steps	34.96 avg steps	61 max steps	48 final numbers
24	131,128,140	1 fixed pt	7 cycles	12 nodes	16.86 avg steps	52 max steps	28.82 avg steps	64 max steps	25 final numbers
26	254,186,856	1 fixed pt	10 cycles	22 nodes	12.40 avg steps	36 max steps	31.51 avg steps	57 max steps	56 final numbers
28	472,733,756	2 fixed pts	10 cycles	45 nodes	10.93 avg steps	52 max steps	54.30 avg steps	97 max steps	68 final numbers
30	847,660,528	1 fixed pt	11 cycles	17 nodes	15.93 avg steps	52 max steps	31.40 avg steps	68 max steps	58 final numbers
32	1,471,442,973	3 fixed pts	12 cycles	15 nodes	22.15 avg steps	65 max steps	30.10 avg steps	66 max steps	48 final numbers
34	2,481,256,778	2 fixed pts	12 cycles	12 nodes	22.75 avg steps	62 max steps	29.21 avg steps	64 max steps	34 final numbers
36	4,076,350,421	5 fixed pts	15 cycles	4 nodes	41.38 avg steps	109 max steps	42.58 avg steps	110 max steps	27 final numbers
38	6,540,715,896	3 fixed pts	18 cycles	6 nodes	23.29 avg steps	65 max steps	25.43 avg steps	67 max steps	43 final numbers