| 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 Full Cycle | 1.99 step avg | 8.30 step avg | 26.66 step avg | 14.54 step avg | 28.57 step avg | 43.49 step avg |
| Step Frequency Full Cycle | 0s: 1s: 2s: 0× 1× 127× | 0s: 1s: 2s: 3s: 4s: 5s: 6s: 7s: 8s: 9s: 0× 2× 211× 42× 0× 0× 0× 31× 3,980× 3,990× | 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× 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: 10s: 11s: 12s: 13s: 14s: 15s: 16s: 17s: 18s: 0× 1× 127× 0× 0× 0× 0× 0× 9,102× 52,983× 209,005× 522,350× 1,163,848× 1,988,862× 1,874,852× 1,945,742× 1,775,104× 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: 50s: 51s: 52s: 53s: 0× 1× 127× 12,350× 4,160× 325,252× 331,932× 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: 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: 86s: 0× 1× 4,287× 57,264× 129,762× 208,218× 212,962× 369,666× 12,439,716× 36,047,092× 9,012,470× 7,218,716× 8,488,207× 11,529,382× 15,925,200× 20,895,346× 28,634,237× 36,349,398× 58,772,708× 65,133,570× 83,541,319× 118,301,666× 167,059,345× 220,603,903× 290,776,432× 234,186,342× 145,114,451× 78,300,450× 68,795,146× 67,108,643× 69,348,818× 71,330,386× 95,217,947× 80,326,971× 69,625,453× 64,145,241× 87,555,605× 83,819,828× 65,600,797× 68,434,113× 72,031,648× 66,164,383× 111,411,851× 96,542,500× 114,031,155× 150,592,265× 189,267,207× 234,273,610× 274,229,885× 280,171,804× 206,173,278× 130,282,124× 145,820,108× 180,471,014× 200,081,392× 229,872,912× 225,495,400× 182,970,978× 89,361,217× 80,007,636× 108,713,346× 125,085,534× 144,251,851× 148,438,350× 117,004,514× 66,589,818× 34,958,017× 39,947,130× 47,633,352× 49,144,696× 45,265,888× 39,731,098× 25,996,224× 12,810,646× 12,870,726× 11,303,585× 9,340,410× 7,490,904× 3,730,510× 1,911,684× 921,992× 1,146,856× 640,464× 265,776× 499,152× 428,580× 583,200× |