| 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 | 83.51 step avg | 33.79 step avg | 43.79 step avg | 35.91 step avg |
| Step Frequency Full Cycle | 0s: 1s: 2s: 0× 1× 165× | 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: 0× 1× 165× 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× 42× 6,847× 6,806× | 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: 0× 1× 7,137× 6,970× 13,938× 13,930× 13,918× 13,902× 13,882× 13,858× 13,830× 13,798× 13,762× 13,722× 13,678× 13,630× 13,578× 13,522× 13,462× 13,398× 13,330× 13,258× 13,182× 13,102× 13,018× 12,930× 12,838× 12,742× 12,642× 12,538× 12,430× 12,318× 12,202× 12,082× 11,958× 11,830× 11,698× 11,562× 11,422× 11,278× 11,130× 10,978× 10,822× 10,662× 10,498× 10,330× 10,158× 9,982× 9,802× 9,618× 9,430× 9,238× 9,042× 8,842× 8,638× 8,430× 8,218× 8,002× 7,782× 7,558× 7,330× 7,098× 6,862× 6,622× 6,378× 6,130× 5,878× 5,622× 5,362× 5,098× 4,830× 4,558× 4,282× 4,002× 3,718× 3,430× 3,138× 2,842× 2,542× 2,238× 1,930× 1,618× 1,302× 982× 658× 330× | 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: 0× 1× 165× 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× 2,020,480× 5,784,280× 23,140,400× 951,560× 845,753× 31,743× 20,744× | 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: 0× 1× 165× 20,748× 533,154× 1,159,202× 896,642× 1,414,978× 2,510,880× 3,312,218× 4,775,878× 5,211,406× 7,249,234× 6,345,896× 9,894,442× 7,710,610× 13,151,314× 9,109,300× 16,531,438× 10,526,546× 19,996,846× 11,947,072× 23,510,650× 13,355,746× 27,165,970× 14,737,580× 30,946,696× 17,299,664× 34,853,688× 20,909,508× 38,920,398× 26,275,430× 42,300,072× 30,665,798× 43,684,950× 32,302,806× 42,781,286× 31,225,432× 40,975,688× 29,565,306× 39,394,576× 27,373,376× 38,307,296× 25,778,370× 36,121,624× 24,323,018× 32,041,916× 23,142,862× 27,856,736× 21,463,130× 24,050,276× 18,598,924× 20,255,482× 15,597,906× 15,766,464× 12,156,916× 11,302,804× 8,375,748× 6,897,178× 4,859,868× 3,384,460× 2,152,334× 1,174,350× 582,358× 252,050× 47,668× 1,956× |