| 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 Full Cycle | 1.98 step avg | 7.07 step avg | 14.64 step avg | 12.10 step avg | 16.96 step avg | 34.30 step avg | 28.86 step avg | 32.14 step avg |
| Step Frequency Full Cycle | 0s: 1s: 2s: 0× 1× 63× | 0s: 1s: 2s: 3s: 4s: 5s: 6s: 7s: 8s: 0× 1× 64× 75× 50× 0× 15× 933× 942× | 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: 0× 1× 1,119× 1,054× 2,106× 2,098× 2,086× 2,070× 2,050× 2,026× 1,998× 1,966× 1,930× 1,890× 1,846× 1,798× 1,746× 1,690× 1,630× 1,566× 1,498× 1,426× 1,350× 1,270× 1,186× 1,098× 1,006× 910× 810× 706× 598× 486× 370× 250× 126× | 0s: 1s: 2s: 3s: 4s: 5s: 6s: 7s: 8s: 9s: 10s: 11s: 12s: 13s: 14s: 15s: 16s: 0× 1× 63× 0× 487× 3,241× 7,266× 11,172× 26,063× 45,277× 74,374× 129,804× 128,934× 125,608× 113,954× 35,564× 64,672× | 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: 0× 1× 63× 3,102× 32,742× 78,478× 69,592× 98,328× 179,058× 230,968× 343,196× 358,450× 539,626× 486,964× 727,974× 641,862× 890,604× 751,930× 981,548× 725,912× 827,198× 550,536× 632,864× 410,516× 354,522× 226,812× 152,552× 85,472× 33,754× 7,524× 1,980× | 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: 0× 1× 1,119× 12,380× 27,367× 3,149× 2,202× 358,518× 1,167,420× 558,980× 483,544× 436,475× 597,188× 714,382× 904,145× 942,172× 1,563,946× 1,531,030× 2,182,194× 3,330,896× 4,571,622× 5,714,712× 5,314,295× 3,450,921× 2,102,256× 2,101,093× 2,269,036× 2,297,026× 2,858,975× 2,391,208× 2,215,931× 2,126,021× 2,583,674× 2,437,668× 2,576,551× 2,534,258× 2,013,524× 3,629,460× 2,549,678× 2,416,250× 3,233,602× 3,845,386× 3,626,935× 3,952,815× 2,445,148× 2,034,368× 2,812,928× 3,094,432× 3,409,224× 2,934,208× 2,087,103× 1,185,613× 1,504,806× 1,684,258× 1,992,444× 2,130,384× 1,511,416× 695,802× 603,596× 515,586× 443,430× 387,206× 150,560× 187,106× 162,734× 172,104× 60,011× 13,408× 13,328× 16,264× | 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: 0× 1× 78,671× 286,956× 970,086× 1,770,888× 2,986,868× 3,805,354× 5,814,190× 7,530,928× 9,401,498× 10,727,670× 12,354,956× 16,769,146× 19,999,198× 20,092,162× 22,631,160× 14,730,628× 11,072,810× 6,870,296× 5,585,398× 5,699,202× 9,717,238× 13,374,144× 21,216,324× 28,833,838× 36,807,512× 51,844,062× 66,203,554× 83,265,070× 102,839,002× 108,254,170× 96,499,892× 80,556,544× 80,066,402× 72,359,550× 61,592,330× 41,434,248× 29,690,602× 16,998,730× 9,536,800× 4,718,346× 2,606,602× 1,011,430× 129,176× 41,088× | 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: 0× 1× 63× 90,581× 381,674× 571,539× 824,170× 12,001,598× 60,688,549× 59,906,760× 51,440,503× 48,542,939× 51,607,970× 83,348,318× 212,247,740× 213,125,211× 181,256,079× 182,251,167× 191,670,162× 246,177,951× 290,112,314× 338,710,148× 359,529,573× 285,754,402× 289,499,541× 326,163,839× 394,176,031× 440,353,904× 442,129,932× 370,621,679× 309,648,341× 298,261,535× 311,653,583× 359,527,875× 372,661,627× 328,905,003× 271,213,968× 200,013,583× 201,884,516× 221,278,569× 218,923,985× 198,117,294× 193,866,886× 156,431,659× 124,226,935× 121,927,894× 125,532,858× 125,767,952× 129,805,836× 134,023,552× 102,575,423× 80,298,880× 90,463,649× 86,557,507× 77,926,832× 70,795,542× 53,648,459× 42,111,312× 43,046,959× 50,580,395× 56,982,917× 50,978,201× 36,473,543× 21,387,117× 17,403,384× 23,714,182× 28,320,715× 24,781,762× 17,473,306× 11,412,113× 7,640,484× 9,907,726× 12,794,470× 12,110,057× 10,861,161× 4,670,916× 2,083,021× 1,717,401× 2,660,736× 5,494,706× 6,972,478× 10,016,410× 7,205,133× 2,516,645× 941,669× 1,526,772× 2,791,805× 2,155,769× 1,794,528× 1,246,883× 291,156× 221,077× 649,277× 1,233,355× 775,086× 404,420× 154,451× 72,382× 229,753× 852,872× 1,809,873× 1,231,137× 154,770× 74,567× 13,306× 57,295× 2,106× |