| 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 | 38.76 step avg | 28.91 step avg | 15.24 step avg | 30.71 step avg |
| Step Frequency Full Cycle | 0s: 1s: 2s: 0× 1× 139× | 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× 2× 231× 46× 0× 0× 0× 0× 0× 0× 0× 0× 0× 0× 0× 0× 0× 0× 0× 0× 0× 0× 0× 12× 1,621× 1,564× 0× 0× 0× 0× 0× 0× 0× 0× 0× 0× 0× 0× 0× 0× 0× 0× 0× 0× 0× 0× 22× 3,152× 3,220× | 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× 5,109× 4,968× 9,934× 9,926× 9,914× 9,898× 9,878× 9,854× 9,826× 9,794× 9,758× 9,718× 9,674× 9,626× 9,574× 9,518× 9,458× 9,394× 9,326× 9,254× 9,178× 9,098× 9,014× 8,926× 8,834× 8,738× 8,638× 8,534× 8,426× 8,314× 8,198× 8,078× 7,954× 7,826× 7,694× 7,558× 7,418× 7,274× 7,126× 6,974× 6,818× 6,658× 6,494× 6,326× 6,154× 5,978× 5,798× 5,614× 5,426× 5,234× 5,038× 4,838× 4,634× 4,426× 4,214× 3,998× 3,778× 3,554× 3,326× 3,094× 2,858× 2,618× 2,374× 2,126× 1,874× 1,618× 1,358× 1,094× 826× 554× 278× | 0s: 1s: 2s: 3s: 4s: 5s: 6s: 7s: 8s: 9s: 10s: 11s: 12s: 13s: 14s: 15s: 16s: 17s: 18s: 19s: 20s: 21s: 22s: 0× 1× 3,331× 4,844× 28,320× 95,460× 60,480× 267,096× 61,104× 241,920× 967,680× 33,800× 33,528× 275,460× 604,128× 2,419,200× 9,676,800× 510,008× 453,957× 840,198× 40,556× 29,568× 54,246× | 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: 0× 1× 139× 14,768× 4,970× 423,940× 423,528× 599,270× 1,298,476× 1,849,820× 2,832,250× 3,170,878× 4,565,468× 4,024,966× 6,880,986× 5,762,558× 9,000,880× 6,638,796× 11,162,624× 7,506,804× 13,335,870× 8,353,862× 15,491,350× 9,576,944× 17,765,360× 12,364,138× 20,468,410× 15,844,024× 22,047,366× 16,947,910× 21,292,132× 16,145,342× 19,739,118× 15,087,110× 19,401,724× 13,843,928× 18,438,546× 12,876,138× 16,291,040× 12,264,752× 13,747,460× 11,135,956× 11,762,426× 9,502,270× 9,438,580× 7,978,778× 7,257,684× 6,173,542× 5,284,138× 4,453,438× 3,489,558× 2,645,934× 1,739,500× 1,198,180× 793,698× 459,148× 201,840× 10,212× |