| 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 |
| 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 | 1.99 step avg | 10.09 step avg | 34.54 step avg | 10.50 step avg | 36.08 step avg |
| Step Frequency Full Cycle | 0s: 1s: 2s: 0× 1× 169× | 0s: 1s: 2s: 3s: 4s: 5s: 6s: 7s: 8s: 9s: 10s: 11s: 0× 2× 281× 57× 262× 244× 0× 0× 0× 41× 6,808× 6,840× | 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: 0× 1× 7,479× 7,308× 14,614× 14,606× 14,594× 14,578× 14,558× 14,534× 14,506× 14,474× 14,438× 14,398× 14,354× 14,306× 14,254× 14,198× 14,138× 14,074× 14,006× 13,934× 13,858× 13,778× 13,694× 13,606× 13,514× 13,418× 13,318× 13,214× 13,106× 12,994× 12,878× 12,758× 12,634× 12,506× 12,374× 12,238× 12,098× 11,954× 11,806× 11,654× 11,498× 11,338× 11,174× 11,006× 10,834× 10,658× 10,478× 10,294× 10,106× 9,914× 9,718× 9,518× 9,314× 9,106× 8,894× 8,678× 8,458× 8,234× 8,006× 7,774× 7,538× 7,298× 7,054× 6,806× 6,554× 6,298× 6,038× 5,774× 5,506× 5,234× 4,958× 4,678× 4,394× 4,106× 3,814× 3,518× 3,218× 2,914× 2,606× 2,294× 1,978× 1,658× 1,334× 1,006× 674× 338× | 0s: 1s: 2s: 3s: 4s: 5s: 6s: 7s: 8s: 9s: 10s: 11s: 12s: 13s: 14s: 15s: 0× 1× 4,861× 18,146× 60,260× 286,512× 415,888× 1,656,480× 24,645× 2,065,768× 5,912,560× 23,664,000× 997,444× 876,741× 33,273× 25,376× | 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: 0× 1× 169× 21,758× 7,310× 753,540× 721,678× 1,045,400× 2,241,536× 3,216,330× 4,873,540× 5,500,018× 7,821,788× 6,976,726× 11,788,126× 9,974,568× 15,413,430× 11,518,596× 19,147,124× 13,072,694× 22,950,940× 14,621,262× 26,787,690× 16,148,844× 30,621,266× 17,640,128× 34,416,640× 19,787,798× 38,424,456× 24,600,892× 43,501,368× 31,371,480× 47,078,736× 36,223,130× 48,353,536× 35,901,000× 45,149,038× 34,144,170× 43,114,886× 32,186,482× 41,854,098× 29,972,300× 41,633,344× 28,249,326× 38,036,842× 26,710,282× 33,497,652× 25,994,550× 29,084,690× 23,655,092× 25,585,376× 20,466,344× 21,491,562× 17,806,956× 17,158,210× 14,614,490× 13,232,610× 11,333,756× 9,672,742× 8,079,448× 6,322,908× 4,817,170× 3,200,098× 2,171,766× 1,392,916× 768,514× 324,304× 14,614× |