| Radix Character Encoding | |||||||||||||||
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| 0 | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | A | B | C | D | E | F |
| G | H | I | J | K | L | M | N | O | P | Q | R | S | T | U | V |
| W | X | Y | Z | a | b | c | d | e | f | g | h | i | j | k | l |
| m | n | o | p | q | r | s | t | u | v | w | x | y | z | Α | Β |
| 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 | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 |
|---|---|---|---|---|---|---|---|---|
| Average Steps Cycle Start | 0.98 step avg | 3.87 step avg | 11.44 step avg | 1.82 step avg | 11.91 step avg | 27.09 step avg | 16.19 step avg | 49.13 step avg |
| Step Frequency Cycle Start | 0s: 1s: 1× 54× | 0s: 1s: 2s: 3s: 4s: 5s: 3× 145× 96× 216× 432× 648× | 0s: 1s: 2s: 3s: 4s: 5s: 6s: 7s: 8s: 9s: 10s: 11s: 12s: 13s: 14s: 15s: 16s: 17s: 18s: 19s: 20s: 21s: 22s: 23s: 24s: 25s: 26s: 27s: 28s: 1× 1,621× 780× 1,558× 1,548× 1,534× 1,516× 1,494× 1,468× 1,438× 1,404× 1,366× 1,324× 1,278× 1,228× 1,174× 1,116× 1,054× 988× 918× 844× 766× 684× 598× 508× 414× 316× 214× 108× | 0s: 1s: 2s: 3s: 4s: 1× 101,610× 298,467× 23,409× 783× | 0s: 1s: 2s: 3s: 4s: 5s: 6s: 7s: 8s: 9s: 10s: 11s: 12s: 13s: 14s: 15s: 16s: 17s: 18s: 19s: 20s: 21s: 22s: 23s: 1× 47,676× 53,915× 43,853× 101,740× 127,299× 191,063× 230,240× 307,186× 346,099× 359,086× 410,638× 453,172× 475,753× 420,180× 422,769× 268,353× 285,659× 175,387× 128,448× 85,498× 48,244× 19,648× 4,479× | 0s: 1s: 2s: 3s: 4s: 5s: 6s: 7s: 8s: 9s: 10s: 11s: 12s: 13s: 14s: 15s: 16s: 17s: 18s: 19s: 20s: 21s: 22s: 23s: 24s: 25s: 26s: 27s: 28s: 29s: 30s: 31s: 32s: 33s: 34s: 35s: 36s: 37s: 38s: 39s: 40s: 41s: 42s: 43s: 44s: 45s: 46s: 47s: 48s: 49s: 50s: 51s: 52s: 53s: 54s: 55s: 56s: 57s: 58s: 59s: 60s: 61s: 62s: 63s: 64s: 65s: 66s: 67s: 68s: 69s: 70s: 71s: 72s: 73s: 74s: 75s: 76s: 77s: 78s: 79s: 80s: 81s: 82s: 1× 161,906× 426,417× 789,589× 1,418,201× 2,757,528× 1,049,647× 1,129,369× 1,088,340× 1,060,197× 747,087× 715,523× 1,240,796× 1,400,944× 1,372,823× 1,572,144× 1,077,123× 929,766× 1,219,572× 1,516,425× 1,297,373× 1,140,713× 991,908× 1,166,464× 1,131,569× 1,043,270× 1,299,047× 895,832× 906,259× 1,009,821× 575,153× 615,742× 771,059× 999,831× 692,698× 650,656× 583,143× 621,891× 602,307× 449,009× 438,934× 398,262× 319,938× 440,262× 341,065× 171,879× 214,506× 339,084× 337,590× 232,307× 248,881× 350,810× 221,219× 230,570× 222,142× 190,366× 200,829× 267,104× 270,969× 486,769× 416,027× 343,108× 178,558× 120,306× 212,693× 270,449× 220,273× 295,743× 156,294× 206,219× 284,486× 499,745× 289,706× 206,319× 249,062× 383,531× 237,804× 205,942× 173,704× 29,625× 29,035× 8,002× 6,600× | 0s: 1s: 2s: 3s: 4s: 5s: 6s: 7s: 8s: 9s: 10s: 11s: 12s: 13s: 14s: 15s: 16s: 17s: 18s: 19s: 20s: 21s: 22s: 23s: 24s: 25s: 26s: 27s: 28s: 29s: 30s: 31s: 32s: 33s: 34s: 35s: 36s: 37s: 38s: 39s: 1× 344,410× 885,115× 1,937,988× 3,225,831× 5,045,410× 7,893,764× 10,175,411× 13,981,319× 18,596,858× 21,803,359× 24,887,758× 28,453,528× 30,830,247× 33,592,613× 31,909,920× 32,666,209× 28,770,980× 23,455,133× 15,518,206× 12,065,198× 7,957,922× 6,731,288× 5,739,879× 4,809,563× 6,583,878× 6,418,852× 7,072,217× 7,176,452× 9,224,562× 7,610,856× 6,159,969× 4,198,993× 4,651,742× 2,475,286× 1,660,343× 1,120,105× 556,050× 75,813× 7,752× | 0s: 1s: 2s: 3s: 4s: 5s: 6s: 7s: 8s: 9s: 10s: 11s: 12s: 13s: 14s: 15s: 16s: 17s: 18s: 19s: 20s: 21s: 22s: 23s: 24s: 25s: 26s: 27s: 28s: 29s: 30s: 31s: 32s: 33s: 34s: 35s: 36s: 37s: 38s: 39s: 40s: 41s: 42s: 43s: 44s: 45s: 46s: 47s: 48s: 49s: 50s: 51s: 52s: 53s: 54s: 55s: 56s: 57s: 58s: 59s: 60s: 61s: 62s: 63s: 64s: 65s: 66s: 67s: 68s: 69s: 70s: 71s: 72s: 73s: 74s: 75s: 76s: 77s: 78s: 79s: 80s: 81s: 82s: 83s: 84s: 85s: 86s: 87s: 88s: 89s: 90s: 91s: 92s: 93s: 94s: 95s: 96s: 97s: 98s: 99s: 100s: 101s: 102s: 103s: 104s: 105s: 106s: 107s: 108s: 109s: 110s: 111s: 112s: 113s: 114s: 115s: 116s: 117s: 118s: 119s: 120s: 121s: 122s: 123s: 124s: 125s: 126s: 127s: 128s: 129s: 130s: 131s: 132s: 133s: 134s: 135s: 136s: 137s: 138s: 139s: 140s: 141s: 142s: 143s: 144s: 145s: 146s: 147s: 148s: 149s: 150s: 151s: 152s: 153s: 154s: 155s: 156s: 157s: 158s: 159s: 160s: 161s: 162s: 163s: 164s: 165s: 166s: 167s: 168s: 169s: 170s: 171s: 172s: 173s: 174s: 175s: 176s: 177s: 178s: 179s: 180s: 181s: 182s: 183s: 184s: 1× 1,916,821× 7,932,413× 34,033,510× 38,112,414× 53,837,684× 52,195,105× 52,251,571× 57,719,693× 65,294,473× 66,913,066× 73,978,331× 79,316,514× 75,738,282× 70,619,241× 59,125,160× 55,590,551× 55,785,493× 62,116,117× 55,265,580× 55,394,893× 50,219,152× 51,553,995× 41,093,408× 38,805,875× 42,548,674× 39,403,070× 42,842,996× 52,479,455× 46,979,142× 52,499,696× 53,143,632× 50,466,087× 47,128,058× 44,340,462× 36,594,071× 44,295,456× 44,266,321× 51,522,447× 43,399,340× 41,898,392× 44,227,478× 33,811,807× 37,562,036× 40,305,772× 33,326,928× 26,836,240× 25,673,344× 29,365,625× 29,694,734× 25,974,819× 20,343,430× 18,028,441× 12,535,969× 16,714,207× 16,382,350× 18,146,043× 14,716,263× 16,697,086× 19,495,246× 21,631,861× 25,379,688× 20,577,518× 19,123,496× 16,559,958× 14,522,464× 12,948,527× 15,223,430× 11,150,228× 10,258,717× 8,836,499× 7,101,284× 9,266,295× 5,282,604× 3,800,527× 3,363,245× 3,468,132× 3,449,612× 2,209,676× 1,913,147× 2,004,631× 1,768,990× 4,212,962× 3,194,354× 4,858,406× 5,642,512× 12,378,119× 9,643,405× 10,249,670× 9,491,804× 8,088,268× 8,392,641× 7,481,500× 7,381,265× 7,618,154× 4,708,746× 5,055,841× 5,809,532× 6,304,627× 7,763,749× 12,733,677× 11,510,561× 13,254,910× 7,520,101× 6,964,490× 8,460,791× 5,674,757× 4,085,618× 3,552,965× 3,763,359× 3,544,470× 4,810,942× 5,839,479× 4,819,256× 5,046,320× 6,475,719× 11,140,947× 7,964,131× 11,513,017× 10,400,070× 10,525,819× 6,493,281× 8,239,569× 10,801,042× 11,780,463× 7,858,526× 10,015,277× 8,315,145× 8,752,668× 6,919,110× 10,130,951× 10,089,344× 7,349,052× 11,083,453× 11,338,853× 9,553,037× 8,044,394× 7,952,353× 9,806,857× 9,860,440× 11,484,870× 8,710,828× 7,483,737× 5,343,501× 5,147,384× 6,397,986× 8,662,140× 8,047,939× 6,035,876× 5,843,703× 4,365,764× 5,385,519× 7,441,233× 10,180,823× 6,220,479× 8,339,931× 9,152,924× 10,613,970× 6,152,651× 9,017,536× 7,170,582× 5,085,893× 2,750,545× 2,967,834× 4,573,832× 4,934,777× 4,719,646× 5,221,285× 4,405,310× 2,923,079× 4,318,415× 4,439,234× 4,915,342× 4,259,534× 3,776,304× 2,595,234× 2,088,165× 3,398,917× 2,209,725× 1,669,389× 1,350,483× 575,192× 58,876× 100,738× 5,662× |