| 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 | 1.47 step avg | 13.64 step avg | 5.22 step avg | 13.62 step avg | 16.13 step avg | 12.50 step avg | 22.70 step avg |
| Step Frequency Cycle Start | 0s: 1s: 1× 63× | 0s: 1s: 2s: 17× 1,071× 992× | 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: 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: 1× 7,712× 21,892× 63,767× 142,154× 223,700× 165,662× 53,440× 88,152× | 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: 1× 77,247× 80,078× 66,674× 153,424× 193,668× 289,700× 312,890× 461,098× 513,832× 581,460× 687,130× 693,418× 796,728× 829,144× 878,554× 748,708× 761,320× 545,682× 592,728× 369,890× 326,644× 193,628× 142,560× 85,230× 33,314× 7,398× 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: 1× 1,283,702× 3,825,415× 2,434,532× 1,435,865× 1,761,788× 2,051,812× 2,297,635× 2,490,748× 3,601,650× 3,127,434× 4,285,968× 6,359,762× 8,241,668× 9,578,608× 9,521,497× 5,451,824× 4,053,782× 4,811,543× 5,446,606× 5,942,090× 5,745,643× 3,501,866× 2,576,481× 2,756,021× 3,253,150× 2,948,306× 2,816,829× 2,385,068× 1,085,358× 995,198× 539,263× 554,756× 641,036× 599,740× 147,187× 210,172× 192,666× 197,256× 349,280× 186,840× 97,040× 93,954× 432× | 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: 1× 1,551,967× 4,069,174× 9,364,856× 15,087,880× 24,193,052× 32,639,192× 42,621,702× 59,374,990× 75,605,052× 93,992,740× 115,193,958× 125,023,316× 116,499,090× 100,648,706× 102,697,562× 87,090,178× 72,665,140× 48,304,544× 33,802,704× 18,915,714× 10,859,268× 4,775,498× 2,616,742× 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: 1× 37,933,456× 196,134,307× 195,015,828× 144,842,948× 134,388,763× 143,472,977× 178,876,517× 216,594,004× 233,955,905× 299,513,363× 263,013,589× 266,561,351× 316,203,293× 374,020,120× 431,371,330× 377,505,214× 316,835,309× 285,369,090× 312,160,902× 366,635,565× 415,120,739× 449,012,891× 370,674,387× 311,431,467× 247,830,172× 255,562,806× 291,303,388× 290,275,413× 266,160,694× 229,778,152× 177,920,476× 152,585,512× 160,489,100× 161,089,022× 149,749,572× 151,236,759× 126,351,967× 94,273,658× 78,191,911× 94,559,475× 96,739,020× 98,160,953× 104,729,446× 77,684,354× 60,987,609× 56,673,292× 60,737,174× 60,946,223× 54,894,586× 43,194,182× 25,738,163× 23,501,917× 26,942,838× 36,162,490× 34,133,614× 21,546,131× 16,192,839× 12,881,801× 20,680,399× 19,715,418× 16,296,621× 13,779,033× 6,755,243× 3,477,965× 4,340,288× 8,933,648× 9,103,270× 9,399,995× 9,702,171× 7,390,740× 3,377,633× 2,345,962× 3,943,989× 3,300,394× 2,844,077× 1,691,821× 1,276,867× 815,917× 1,278,125× 2,389,392× 1,471,046× 1,012,184× 319,579× 129,060× 147,833× 640,544× 1,190,199× 532,124× 343,566× 154,451× 72,382× 229,753× 852,872× 1,809,873× 1,231,137× 154,770× 74,567× 13,306× 57,295× 2,106× |