| 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 |
| Γ | Δ | Ε | Ζ | Η | Θ | Ι | Κ | Λ | Μ | Ν | Ξ | Ο | Π | Ρ | Σ |
| 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 |
|---|---|---|---|---|---|---|---|
| Average Steps Full Cycle | 1.99 step avg | 6.57 step avg | 17.95 step avg | 40.80 step avg | 19.77 step avg | 50.82 step avg | 27.62 step avg |
| Step Frequency Full Cycle | 0s: 1s: 2s: 0× 1× 78× | 0s: 1s: 2s: 3s: 4s: 5s: 6s: 7s: 8s: 0× 1× 79× 132× 140× 312× 624× 624× 1,248× | 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: 0× 1× 78× 3,199× 1,596× 3,190× 3,180× 3,166× 3,148× 3,126× 3,100× 3,070× 3,036× 2,998× 2,956× 2,910× 2,860× 2,806× 2,748× 2,686× 2,620× 2,550× 2,476× 2,398× 2,316× 2,230× 2,140× 2,046× 1,948× 1,846× 1,740× 1,630× 1,516× 1,398× 1,276× 1,150× 1,020× 886× 748× 606× 460× 310× 156× | 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: 0× 1× 78× 0× 0× 0× 0× 0× 0× 0× 0× 0× 0× 0× 0× 0× 0× 0× 0× 0× 0× 0× 0× 0× 0× 0× 0× 0× 0× 0× 0× 0× 0× 0× 0× 0× 0× 0× 0× 0× 424,840× 1,255,501× 67,041× 1,599× | 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: 0× 1× 78× 0× 58,731× 140,838× 120,747× 175,808× 318,393× 413,813× 611,391× 646,545× 931,526× 777,055× 1,298,003× 1,032,373× 1,723,603× 1,367,923× 2,078,945× 1,703,207× 2,243,303× 1,682,858× 2,112,301× 1,517,223× 1,879,102× 1,283,842× 1,448,442× 951,835× 908,470× 609,124× 445,498× 287,203× 163,486× 73,362× 24,087× 5,280× | 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: 0× 1× 78× 0× 0× 0× 0× 0× 41,107× 78,044× 339,057× 925,254× 2,057,306× 3,296,389× 2,577,079× 4,222,680× 5,638,273× 6,782,377× 9,515,724× 4,726,699× 6,301,899× 6,563,905× 3,883,887× 4,388,344× 3,231,803× 3,271,730× 2,986,739× 3,534,199× 3,190,116× 2,235,453× 2,768,579× 3,201,412× 4,298,374× 4,315,549× 3,566,798× 3,792,463× 3,531,171× 3,217,760× 3,544,633× 4,239,616× 6,325,838× 7,893,583× 7,167,543× 7,869,084× 9,647,830× 9,817,089× 9,581,294× 9,313,897× 11,461,410× 15,504,297× 8,590,396× 8,682,708× 6,660,851× 6,906,285× 8,400,123× 8,018,196× 7,210,369× 5,854,897× 7,144,230× 6,968,405× 6,687,239× 6,013,650× 5,782,490× 5,485,033× 4,856,890× 5,566,472× 5,554,023× 5,834,211× 4,729,609× 4,666,983× 4,305,780× 2,975,566× 3,341,331× 3,222,478× 3,559,846× 2,476,311× 2,570,281× 2,788,115× 2,404,405× 2,069,256× 2,236,837× 2,128,564× 1,447,244× 1,700,994× 1,661,874× 867,737× 736,244× 843,032× 788,933× 1,134,391× 486,362× 634,144× 905,809× 374,187× 305,064× 785,145× 360,006× 182,843× 121,494× 219,324× 365,533× 50,380× 118,274× 90,994× 44,469× 33,241× 14,467× 34,616× 56,854× 84,952× 445,087× 480,807× 436,844× 407,225× 386,769× 1,079,344× 1,318,611× 1,263,486× 780,881× 1,047,883× 847,290× 1,804,670× 862,901× 520,282× 540,966× 695,684× 709,400× 613,815× 546,536× 793,482× 610,012× 313,733× 322,275× 345,874× 84,467× 45,096× 95,805× 95,519× | 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: 0× 1× 78× 0× 0× 0× 0× 0× 0× 1,394,332× 3,410,035× 9,583,464× 15,178,768× 25,324,946× 38,028,609× 54,275,685× 72,283,455× 92,261,127× 114,765,319× 148,780,249× 185,547,383× 221,079,450× 234,199,404× 271,570,190× 299,498,304× 303,546,801× 297,768,779× 308,419,018× 277,054,386× 271,345,846× 247,088,346× 192,399,055× 170,412,305× 132,844,865× 122,816,675× 91,887,818× 90,215,703× 76,098,459× 71,268,883× 70,223,579× 66,277,697× 67,128,911× 58,498,009× 55,311,740× 51,742,981× 43,875,153× 31,547,047× 23,448,799× 13,916,756× 7,345,870× 4,309,651× 1,452,101× 402,049× 19,239× |