| 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 |
| 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 | 19.68 step avg | 28.85 step avg | 35.52 step avg | 30.16 step avg |
| Step Frequency Full Cycle | 0s: 1s: 2s: 0× 1× 136× | 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: 0× 2× 226× 113× 136× 0× 0× 0× 0× 0× 0× 6× 775× 715× 1,496× 0× 0× 0× 0× 0× 0× 0× 10× 1,464× 1,518× 2,992× | 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: 0× 1× 136× 9,521× 4,757× 9,512× 9,502× 9,488× 9,470× 9,448× 9,422× 9,392× 9,358× 9,320× 9,278× 9,232× 9,182× 9,128× 9,070× 9,008× 8,942× 8,872× 8,798× 8,720× 8,638× 8,552× 8,462× 8,368× 8,270× 8,168× 8,062× 7,952× 7,838× 7,720× 7,598× 7,472× 7,342× 7,208× 7,070× 6,928× 6,782× 6,632× 6,478× 6,320× 6,158× 5,992× 5,822× 5,648× 5,470× 5,288× 5,102× 4,912× 4,718× 4,520× 4,318× 4,112× 3,902× 3,688× 3,470× 3,248× 3,022× 2,792× 2,558× 2,320× 2,078× 1,832× 1,582× 1,328× 1,070× 808× 542× 272× | 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: 0× 1× 136× 0× 0× 0× 0× 0× 0× 0× 0× 0× 0× 0× 0× 0× 0× 0× 55,392× 165,098× 6,557× 0× 0× 0× 0× 0× 0× 0× 0× 0× 0× 0× 0× 0× 0× 3,716,976× 11,054,256× 326,439× 4,760× | 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: 0× 1× 136× 0× 0× 397,624× 399,246× 563,336× 1,222,100× 1,739,536× 2,666,522× 2,982,547× 4,300,160× 3,785,923× 6,480,593× 5,420,766× 8,476,478× 6,242,567× 10,508,747× 7,054,704× 12,547,844× 7,844,745× 14,565,293× 9,154,162× 16,982,829× 12,169,568× 19,009,917× 15,125,283× 20,561,612× 15,404,634× 19,021,696× 14,591,582× 17,922,986× 13,522,014× 17,669,095× 12,319,654× 16,377,292× 11,594,260× 13,984,158× 11,082,175× 11,864,469× 9,590,033× 9,942,031× 8,166,596× 7,727,765× 6,616,129× 5,807,192× 4,984,225× 4,092,840× 3,325,942× 2,393,663× 1,627,556× 1,065,769× 783,802× 461,330× 154,016× |