| 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 | 12.02 step avg | 29.22 step avg | 70.78 step avg | 30.93 step avg |
| Step Frequency Full Cycle | 0s: 1s: 2s: 0× 1× 138× | 0s: 1s: 2s: 3s: 4s: 5s: 6s: 7s: 8s: 9s: 10s: 11s: 12s: 13s: 14s: 15s: 16s: 0× 1× 139× 236× 483× 453× 966× 828× 0× 0× 0× 0× 6× 798× 852× 1,656× 3,312× | 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: 0× 1× 138× 9,799× 4,896× 9,790× 9,780× 9,766× 9,748× 9,726× 9,700× 9,670× 9,636× 9,598× 9,556× 9,510× 9,460× 9,406× 9,348× 9,286× 9,220× 9,150× 9,076× 8,998× 8,916× 8,830× 8,740× 8,646× 8,548× 8,446× 8,340× 8,230× 8,116× 7,998× 7,876× 7,750× 7,620× 7,486× 7,348× 7,206× 7,060× 6,910× 6,756× 6,598× 6,436× 6,270× 6,100× 5,926× 5,748× 5,566× 5,380× 5,190× 4,996× 4,798× 4,596× 4,390× 4,180× 3,966× 3,748× 3,526× 3,300× 3,070× 2,836× 2,598× 2,356× 2,110× 1,860× 1,606× 1,348× 1,086× 820× 550× 276× | 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: 0× 1× 138× 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× 3,996,020× 11,880,926× 352,521× 4,899× | 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: 0× 1× 138× 0× 310,911× 696,278× 550,367× 854,728× 1,523,733× 2,005,193× 2,908,171× 3,153,925× 4,427,446× 3,838,595× 6,051,397× 4,657,036× 8,042,518× 5,489,041× 10,094,035× 6,321,782× 12,175,108× 7,142,575× 14,421,827× 8,441,629× 16,807,363× 10,570,331× 19,008,095× 13,228,825× 20,953,936× 15,649,305× 21,442,323× 15,965,651× 20,703,598× 14,999,793× 19,969,656× 13,899,881× 18,864,769× 12,818,007× 17,558,451× 12,027,710× 15,189,530× 11,091,538× 12,793,325× 9,865,130× 10,487,296× 7,974,200× 7,991,372× 5,799,602× 5,178,276× 3,704,432× 2,729,513× 1,821,006× 1,125,670× 591,772× 274,901× 102,504× 12,648× |