| 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 |
| 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 | 7 |
|---|---|---|---|---|---|---|---|
| Average Steps Cycle Start | 0.99 step avg | 1.48 step avg | 16.65 step avg | 9.97 step avg | 16.14 step avg | 44.61 step avg | 14.77 step avg |
| Step Frequency Cycle Start | 0s: 1s: 1× 79× | 0s: 1s: 2s: 21× 1,659× 1,560× | 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: 1× 1,719× 1,638× 3,274× 3,266× 3,254× 3,238× 3,218× 3,194× 3,166× 3,134× 3,098× 3,058× 3,014× 2,966× 2,914× 2,858× 2,798× 2,734× 2,666× 2,594× 2,518× 2,438× 2,354× 2,266× 2,174× 2,078× 1,978× 1,874× 1,766× 1,654× 1,538× 1,418× 1,294× 1,166× 1,034× 898× 758× 614× 466× 314× 158× | 0s: 1s: 2s: 3s: 4s: 5s: 6s: 7s: 8s: 9s: 10s: 11s: 12s: 13s: 14s: 15s: 16s: 17s: 18s: 19s: 20s: 21s: 22s: 1× 3,701× 6,896× 22,460× 65,874× 148,632× 446,716× 77,608× 40,706× 79,722× 163,788× 294,892× 37,292× 22,128× 39,464× 78,312× 143,408× 17,728× 9,480× 17,820× 35,380× 81,072× 4,540× | 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: 1× 86,457× 96,468× 123,410× 276,356× 384,000× 604,870× 659,398× 978,428× 829,846× 1,457,506× 1,267,436× 1,877,400× 1,761,350× 2,266,336× 1,845,582× 2,135,746× 1,668,216× 2,036,414× 1,502,240× 1,617,284× 1,361,832× 1,281,504× 1,072,152× 928,068× 804,614× 630,274× 472,626× 304,520× 223,220× 160,360× 104,364× 50,464× 3,274× | 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: 87s: 88s: 89s: 90s: 91s: 92s: 93s: 94s: 95s: 96s: 97s: 98s: 99s: 100s: 101s: 102s: 103s: 104s: 105s: 106s: 107s: 108s: 109s: 110s: 111s: 112s: 113s: 114s: 115s: 116s: 117s: 118s: 119s: 120s: 121s: 1× 1,575,780× 3,894,363× 3,431,102× 3,480,585× 4,853,371× 5,879,472× 6,433,573× 7,185,162× 7,574,228× 8,154,419× 8,782,262× 9,280,498× 8,665,497× 9,278,171× 7,925,108× 7,965,329× 6,892,765× 6,479,616× 5,872,181× 5,632,836× 5,219,049× 5,257,683× 5,054,251× 5,445,735× 5,427,025× 4,653,695× 4,865,106× 4,224,907× 4,457,402× 4,009,931× 4,078,366× 4,245,186× 4,164,107× 4,194,979× 4,289,342× 4,207,839× 5,237,738× 4,639,149× 4,854,129× 4,476,765× 4,080,708× 4,120,920× 3,882,288× 4,005,842× 4,255,457× 4,606,762× 4,346,524× 4,187,009× 4,351,300× 4,351,721× 3,899,928× 3,371,508× 3,224,087× 3,243,565× 3,072,565× 3,134,261× 3,215,018× 3,337,919× 3,843,393× 4,455,939× 3,601,260× 3,742,262× 3,199,911× 3,062,822× 3,031,028× 2,997,416× 2,815,878× 2,366,126× 2,644,531× 2,641,511× 3,107,525× 2,951,512× 3,292,629× 3,294,976× 3,746,713× 3,821,900× 3,930,360× 4,060,955× 3,872,800× 4,247,110× 4,255,927× 3,604,720× 4,141,563× 3,763,240× 3,183,530× 2,919,946× 3,097,879× 3,042,640× 3,222,544× 2,810,452× 3,017,718× 3,075,931× 3,014,780× 3,022,307× 2,647,267× 2,095,280× 1,800,754× 1,536,702× 1,920,414× 1,776,543× 1,667,183× 1,714,346× 1,299,960× 1,185,090× 1,048,517× 984,227× 1,143,234× 1,297,502× 955,496× 674,130× 457,630× 404,594× 124,720× 234,966× 225,224× 155,246× 37,328× 35,644× 32,162× 33,434× 38,148× | 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: 1× 3,673,239× 9,402,322× 24,738,638× 39,495,698× 66,701,462× 88,798,848× 118,026,072× 170,357,416× 208,106,222× 246,261,262× 312,737,962× 382,542,134× 425,176,078× 441,034,338× 464,682,990× 421,005,666× 369,133,580× 362,345,664× 329,364,384× 289,291,608× 220,847,944× 161,597,940× 96,687,626× 62,298,280× 32,567,564× 17,740,766× 6,055,644× 2,478,034× 51,026× 314× 158× |