| 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 |
| 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 | 6 |
|---|---|---|---|---|---|---|
| Average Steps Cycle Start | 0.99 step avg | 1.48 step avg | 25.66 step avg | 6.20 step avg | 24.57 step avg | 17.35 step avg |
| Step Frequency Cycle Start | 0s: 1s: 1× 127× | 0s: 1s: 2s: 33× 4,191× 4,032× | 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: 1× 4,287× 4,158× 8,314× 8,306× 8,294× 8,278× 8,258× 8,234× 8,206× 8,174× 8,138× 8,098× 8,054× 8,006× 7,954× 7,898× 7,838× 7,774× 7,706× 7,634× 7,558× 7,478× 7,394× 7,306× 7,214× 7,118× 7,018× 6,914× 6,806× 6,694× 6,578× 6,458× 6,334× 6,206× 6,074× 5,938× 5,798× 5,654× 5,506× 5,354× 5,198× 5,038× 4,874× 4,706× 4,534× 4,358× 4,178× 3,994× 3,806× 3,614× 3,418× 3,218× 3,014× 2,806× 2,594× 2,378× 2,158× 1,934× 1,706× 1,474× 1,238× 998× 754× 506× 254× | 0s: 1s: 2s: 3s: 4s: 5s: 6s: 7s: 8s: 9s: 1× 29,797× 108,579× 395,633× 1,008,408× 2,108,736× 3,392,950× 2,497,872× 772,392× 1,402,272× | 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: 39s: 40s: 41s: 42s: 43s: 44s: 45s: 46s: 47s: 48s: 49s: 1× 337,729× 336,092× 464,162× 1,010,852× 1,434,928× 2,207,702× 2,461,990× 3,564,668× 3,124,822× 5,370,050× 4,474,794× 7,020,836× 5,145,740× 8,692,904× 5,803,152× 10,359,074× 6,563,286× 12,175,732× 8,545,598× 13,910,272× 11,109,406× 15,417,036× 11,885,258× 14,680,574× 11,259,166× 13,911,348× 10,378,840× 13,392,418× 9,393,190× 12,433,404× 8,932,238× 10,488,980× 8,298,286× 8,792,690× 7,145,156× 7,186,024× 5,989,618× 5,505,484× 4,707,340× 4,008,906× 3,382,656× 2,639,190× 2,004,452× 1,318,722× 912,868× 611,858× 361,560× 159,930× 8,314× | 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: 1× 48,211,467× 151,888,558× 77,921,324× 54,224,991× 66,014,052× 78,082,152× 90,269,814× 103,748,395× 117,851,036× 173,655,492× 169,317,952× 233,163,464× 337,986,742× 448,120,842× 575,845,942× 711,990,972× 641,675,763× 311,767,409× 192,988,346× 221,721,664× 247,340,967× 278,299,720× 293,088,498× 283,184,235× 155,686,808× 87,198,997× 87,021,918× 104,681,226× 94,221,549× 84,523,865× 84,863,619× 67,513,665× 32,755,679× 27,332,263× 18,322,429× 19,782,794× 18,132,938× 16,450,614× 12,637,106× 3,405,106× 4,270,082× 4,251,354× 5,126,176× 5,537,820× 9,354,244× 3,545,208× 875,420× 726,170× 880× |