| 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 | 31.51 step avg | 47.23 step avg | 90.54 step avg | 48.59 step avg |
| Step Frequency Full Cycle | 0s: 1s: 2s: 0× 1× 234× | 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: 0× 1× 234× 117× 234× 0× 0× 0× 0× 0× 0× 0× 0× 0× 0× 0× 0× 0× 0× 0× 0× 0× 0× 0× 0× 0× 0× 0× 0× 15× 3,436× 3,335× 6,786× 13,572× | 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: 0× 1× 234× 27,847× 13,920× 27,838× 27,828× 27,814× 27,796× 27,774× 27,748× 27,718× 27,684× 27,646× 27,604× 27,558× 27,508× 27,454× 27,396× 27,334× 27,268× 27,198× 27,124× 27,046× 26,964× 26,878× 26,788× 26,694× 26,596× 26,494× 26,388× 26,278× 26,164× 26,046× 25,924× 25,798× 25,668× 25,534× 25,396× 25,254× 25,108× 24,958× 24,804× 24,646× 24,484× 24,318× 24,148× 23,974× 23,796× 23,614× 23,428× 23,238× 23,044× 22,846× 22,644× 22,438× 22,228× 22,014× 21,796× 21,574× 21,348× 21,118× 20,884× 20,646× 20,404× 20,158× 19,908× 19,654× 19,396× 19,134× 18,868× 18,598× 18,324× 18,046× 17,764× 17,478× 17,188× 16,894× 16,596× 16,294× 15,988× 15,678× 15,364× 15,046× 14,724× 14,398× 14,068× 13,734× 13,396× 13,054× 12,708× 12,358× 12,004× 11,646× 11,284× 10,918× 10,548× 10,174× 9,796× 9,414× 9,028× 8,638× 8,244× 7,846× 7,444× 7,038× 6,628× 6,214× 5,796× 5,374× 4,948× 4,518× 4,084× 3,646× 3,204× 2,758× 2,308× 1,854× 1,396× 934× 468× | 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: 0× 1× 9,164× 13,489× 0× 0× 0× 0× 0× 0× 0× 0× 0× 0× 0× 0× 0× 0× 0× 0× 0× 0× 0× 0× 1,285,240× 3,550,855× 0× 0× 0× 0× 0× 0× 0× 0× 0× 0× 0× 0× 0× 0× 0× 0× 0× 0× 0× 0× 0× 495,054× 1,317,806× 31,393× 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× 0× 0× 0× 0× 0× 0× 30,507,612× 91,481,312× 1,639,016× 13,923× | 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: 0× 1× 234× 0× 1,478,175× 3,172,438× 2,365,951× 3,832,968× 6,746,997× 8,931,049× 12,743,147× 14,046,373× 19,206,198× 17,087,011× 26,083,429× 20,766,284× 34,571,030× 24,558,193× 43,422,003× 28,440,694× 52,580,164× 32,391,887× 61,990,409× 36,390,016× 71,598,714× 40,413,469× 81,352,135× 44,440,778× 91,198,808× 48,450,619× 101,087,949× 52,421,812× 110,969,854× 56,333,321× 121,511,517× 61,217,185× 131,997,437× 69,131,767× 142,462,186× 80,958,867× 154,867,295× 97,403,190× 165,702,187× 113,564,297× 175,038,646× 125,838,473× 177,195,702× 128,005,841× 172,202,076× 124,971,243× 165,403,830× 120,780,317× 159,165,407× 115,788,272× 156,402,085× 110,338,260× 154,831,814× 104,551,677× 151,150,257× 99,880,329× 142,983,937× 96,055,228× 131,248,852× 93,895,438× 119,250,776× 90,663,005× 108,482,909× 84,527,767× 98,275,767× 76,594,221× 87,792,381× 68,972,387× 75,939,070× 60,606,848× 63,667,057× 51,884,090× 51,736,756× 41,544,810× 39,093,958× 30,317,723× 26,529,958× 20,069,298× 15,137,839× 10,680,742× 7,080,362× 4,225,625× 2,321,536× 1,111,300× 321,384× 41,256× |