| 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 |
| 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 | 105.50 step avg | 42.05 step avg | 14.26 step avg | 42.81 step avg |
| Step Frequency Full Cycle | 0s: 1s: 2s: 0× 1× 209× | 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: 0× 1× 209× 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× 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× 0× 0× 0× 0× 0× 0× 0× 0× 0× 0× 0× 0× 0× 0× 0× 0× 53× 10,972× 10,920× | 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: 0× 1× 11,339× 11,128× 22,254× 22,246× 22,234× 22,218× 22,198× 22,174× 22,146× 22,114× 22,078× 22,038× 21,994× 21,946× 21,894× 21,838× 21,778× 21,714× 21,646× 21,574× 21,498× 21,418× 21,334× 21,246× 21,154× 21,058× 20,958× 20,854× 20,746× 20,634× 20,518× 20,398× 20,274× 20,146× 20,014× 19,878× 19,738× 19,594× 19,446× 19,294× 19,138× 18,978× 18,814× 18,646× 18,474× 18,298× 18,118× 17,934× 17,746× 17,554× 17,358× 17,158× 16,954× 16,746× 16,534× 16,318× 16,098× 15,874× 15,646× 15,414× 15,178× 14,938× 14,694× 14,446× 14,194× 13,938× 13,678× 13,414× 13,146× 12,874× 12,598× 12,318× 12,034× 11,746× 11,454× 11,158× 10,858× 10,554× 10,246× 9,934× 9,618× 9,298× 8,974× 8,646× 8,314× 7,978× 7,638× 7,294× 6,946× 6,594× 6,238× 5,878× 5,514× 5,146× 4,774× 4,398× 4,018× 3,634× 3,246× 2,854× 2,458× 2,058× 1,654× 1,246× 834× 418× | 0s: 1s: 2s: 3s: 4s: 5s: 6s: 7s: 8s: 9s: 10s: 11s: 12s: 13s: 14s: 15s: 16s: 17s: 18s: 19s: 0× 1× 7,349× 29,918× 137,944× 357,138× 581,868× 1,031,300× 811,032× 3,235,680× 39,265× 41,716× 0× 4,694,808× 13,747,056× 55,006,560× 1,888,314× 1,670,197× 50,553× 38,566× | 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: 0× 1× 353,079× 443,942× 773,980× 1,597,482× 2,720,830× 4,518,200× 5,927,082× 8,190,038× 8,077,366× 14,064,668× 14,014,874× 20,101,918× 16,733,060× 26,437,150× 19,523,508× 33,020,084× 22,366,598× 39,801,520× 25,242,854× 46,733,338× 28,132,944× 53,768,498× 31,017,680× 60,861,040× 33,878,018× 67,966,084× 36,695,058× 75,039,830× 39,961,638× 82,543,100× 46,226,266× 90,032,476× 55,019,054× 99,185,046× 66,861,730× 106,325,330× 74,771,566× 108,861,904× 78,219,224× 107,420,900× 80,184,020× 106,715,358× 78,081,746× 102,467,474× 74,660,728× 100,270,490× 71,104,050× 98,082,386× 67,498,000× 93,460,886× 64,321,436× 87,086,588× 62,106,048× 80,369,240× 59,439,462× 72,301,612× 55,003,620× 65,336,418× 50,961,736× 57,170,414× 46,106,828× 49,202,666× 39,841,796× 41,607,586× 33,810,100× 33,323,956× 27,701,692× 25,680,534× 21,275,674× 18,648,446× 14,925,062× 11,906,068× 8,954,028× 6,564,518× 4,296,202× 2,453,964× 1,210,808× 481,460× 143,566× 18,918× |