| 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 |
| Τ | Υ | Φ | Χ | Ψ | Ω | α | β | γ | δ | ε | ζ | η | θ | ι | κ |
| λ | μ | ν | ξ | ο | π | ρ | ς | σ | τ | υ | φ | χ | ψ | ω | А |
| Б | В | Г | Д | Е | Ж | З | И | Й | К | Л | М | Н | О | П | Р |
| С | Т | У | Ф | Х | Ц | Ч | Ш | Щ | Ъ | Ы | Ь | Э | Ю | Я | а |
| б | в | г | д | е | ж | з | и | й | к | л | м | н | о | п | р |
| с | т | у | ф | х | ц | ч | ш | щ | ъ | ы | ь | э | ю | я | ァ |
| ア | ィ | イ | ゥ | ウ | ェ | エ | ォ | オ | カ | ガ | キ | ギ | ク | グ | ケ |
| ゲ | コ | ゴ | サ | ザ | シ | ジ | ス | ズ | セ | ゼ | ソ | ゾ | タ | ダ | チ |
| ヂ | ッ | ツ | ヅ | テ | デ | ト | ド | ナ | ニ | ヌ | ネ | ノ | ハ | バ | パ |
| ヒ | ビ | ピ | フ | ブ | プ | ヘ | ベ | ペ | ホ | ボ | ポ | マ | ミ | ム | メ |
| 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 |
|---|---|---|---|---|---|
| Average Steps Full Cycle | 2.00 step avg | 30.25 step avg | 46.17 step avg | 18.65 step avg | 48.04 step avg |
| Step Frequency Full Cycle | 0s: 1s: 2s: 0× 1× 231× | 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: 0× 1× 231× 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× 58× 13,398× 13,340× | 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: 0× 1× 13,803× 13,570× 27,138× 27,130× 27,118× 27,102× 27,082× 27,058× 27,030× 26,998× 26,962× 26,922× 26,878× 26,830× 26,778× 26,722× 26,662× 26,598× 26,530× 26,458× 26,382× 26,302× 26,218× 26,130× 26,038× 25,942× 25,842× 25,738× 25,630× 25,518× 25,402× 25,282× 25,158× 25,030× 24,898× 24,762× 24,622× 24,478× 24,330× 24,178× 24,022× 23,862× 23,698× 23,530× 23,358× 23,182× 23,002× 22,818× 22,630× 22,438× 22,242× 22,042× 21,838× 21,630× 21,418× 21,202× 20,982× 20,758× 20,530× 20,298× 20,062× 19,822× 19,578× 19,330× 19,078× 18,822× 18,562× 18,298× 18,030× 17,758× 17,482× 17,202× 16,918× 16,630× 16,338× 16,042× 15,742× 15,438× 15,130× 14,818× 14,502× 14,182× 13,858× 13,530× 13,198× 12,862× 12,522× 12,178× 11,830× 11,478× 11,122× 10,762× 10,398× 10,030× 9,658× 9,282× 8,902× 8,518× 8,130× 7,738× 7,342× 6,942× 6,538× 6,130× 5,718× 5,302× 4,882× 4,458× 4,030× 3,598× 3,162× 2,722× 2,278× 1,830× 1,378× 922× 462× | 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: 0× 1× 231× 0× 0× 0× 0× 0× 34,096× 98,008× 383,264× 1,533,056× 6,132,224× 184,088× 169,968× 751,564× 1,739,352× 4,599,168× 18,396,672× 73,586,688× 2,203,856× 1,967,328× 3,661,436× 7,106,954× 243,988× 168,260× 305,284× 590,324× | 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: 0× 1× 231× 40,482× 1,436,298× 3,055,998× 2,281,872× 3,693,584× 6,503,418× 8,607,728× 12,286,260× 13,538,274× 18,522,650× 16,470,010× 25,160,572× 20,017,102× 33,352,902× 23,672,618× 41,895,788× 27,414,802× 50,733,838× 31,222,042× 59,812,740× 35,072,870× 69,079,262× 38,945,962× 78,481,252× 42,820,138× 87,967,638× 46,674,362× 97,488,428× 50,487,742× 106,994,710× 54,239,530× 116,802,144× 59,947,728× 126,897,620× 67,692,690× 138,573,202× 80,367,298× 149,244,922× 96,488,896× 159,549,702× 111,087,566× 166,177,598× 120,843,348× 168,610,676× 121,142,384× 161,724,050× 117,525,192× 155,458,602× 113,552,104× 149,805,710× 108,495,150× 148,742,532× 102,747,482× 146,155,140× 98,000,492× 141,557,866× 93,320,290× 131,889,900× 90,742,406× 120,643,436× 88,114,674× 109,269,108× 84,367,230× 99,405,252× 77,269,368× 89,305,820× 69,817,494× 79,018,532× 62,140,936× 67,269,922× 54,216,274× 55,452,692× 44,914,572× 43,716,882× 34,625,878× 31,471,824× 24,216,890× 19,928,178× 14,555,888× 10,403,172× 6,918,758× 4,109,770× 2,244,128× 1,102,540× 328,920× 52,300× |