| 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 |
| 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 | 2.21 step avg | 16.33 step avg | 1.80 step avg | 18.62 step avg | 67.70 step avg | 19.46 step avg |
| Step Frequency Cycle Start | 0s: 1s: 1× 80× | 0s: 1s: 2s: 3s: 11× 890× 820× 1,600× | 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× 3,441× 1,677× 3,352× 3,342× 3,328× 3,310× 3,288× 3,262× 3,232× 3,198× 3,160× 3,118× 3,072× 3,022× 2,968× 2,910× 2,848× 2,782× 2,712× 2,638× 2,560× 2,478× 2,392× 2,302× 2,208× 2,110× 2,008× 1,902× 1,792× 1,678× 1,560× 1,438× 1,312× 1,182× 1,048× 910× 768× 622× 472× 318× 160× | 0s: 1s: 2s: 3s: 4s: 1× 469,120× 1,388,260× 70,440× 1,680× | 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: 1× 21,248× 29,569× 50,426× 110,026× 182,196× 316,240× 399,604× 586,692× 545,314× 1,001,784× 948,593× 1,445,618× 1,266,470× 1,856,135× 1,615,099× 2,169,552× 1,661,529× 2,172,556× 1,737,147× 2,220,575× 1,633,114× 1,842,084× 1,454,852× 1,559,362× 1,179,877× 1,164,998× 921,041× 805,305× 610,547× 497,681× 369,855× 240,319× 126,821× 48,329× 10,958× | 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: 122s: 123s: 124s: 125s: 126s: 127s: 128s: 129s: 130s: 131s: 132s: 133s: 134s: 135s: 136s: 137s: 138s: 139s: 140s: 141s: 142s: 143s: 144s: 145s: 146s: 147s: 148s: 149s: 150s: 151s: 152s: 1× 293,911× 910,513× 1,721,520× 1,167,916× 1,552,104× 1,992,867× 2,252,932× 2,128,977× 2,152,351× 2,129,367× 2,254,417× 1,732,941× 2,177,057× 2,062,254× 2,548,446× 1,954,910× 1,497,810× 1,217,724× 1,775,768× 1,794,582× 2,169,934× 2,074,840× 1,992,792× 2,071,813× 1,845,905× 2,640,464× 3,313,622× 2,673,719× 2,608,366× 2,848,332× 3,324,940× 3,015,536× 2,706,486× 3,023,016× 3,591,129× 4,209,676× 4,903,291× 4,826,755× 4,731,441× 5,060,735× 6,272,586× 6,055,578× 6,418,985× 6,513,574× 7,546,834× 6,687,723× 7,026,824× 7,835,686× 6,892,613× 7,094,156× 6,432,402× 5,810,409× 5,932,447× 5,124,813× 4,941,644× 4,594,303× 5,511,798× 5,630,886× 6,046,923× 5,383,967× 5,288,646× 4,917,924× 4,632,939× 4,244,398× 3,553,430× 3,284,357× 3,793,022× 4,084,770× 3,903,312× 3,634,463× 3,424,648× 3,678,980× 3,670,969× 4,156,076× 4,447,068× 3,883,632× 3,569,041× 3,334,465× 3,151,586× 2,753,722× 3,067,098× 3,207,459× 3,106,202× 3,251,476× 4,037,407× 3,671,291× 3,300,070× 4,088,554× 3,529,892× 2,996,150× 3,590,121× 3,960,331× 3,760,748× 3,696,477× 3,995,462× 4,440,818× 4,511,831× 3,859,074× 4,479,817× 4,329,348× 3,936,929× 4,159,974× 3,812,508× 3,713,487× 4,334,809× 4,574,100× 3,974,571× 3,994,588× 3,703,095× 3,025,986× 2,537,653× 2,048,812× 2,413,887× 2,107,180× 2,811,368× 2,506,170× 2,441,740× 2,812,386× 3,255,192× 3,750,772× 3,759,685× 3,108,738× 2,858,184× 2,415,485× 1,496,246× 1,354,866× 1,261,028× 1,539,683× 1,481,252× 1,316,920× 1,045,053× 1,053,653× 1,191,905× 1,081,682× 591,443× 638,542× 787,921× 321,300× 200,428× 207,169× 173,615× 110,559× 147,035× 176,110× 204,239× 92,679× 102,543× 202,814× 207,648× 83,021× 35,881× 158× | 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: 1× 1,542,920× 3,420,376× 9,518,945× 21,123,172× 35,209,175× 49,695,388× 67,904,186× 100,974,557× 126,127,578× 140,884,601× 187,816,088× 223,552,764× 249,852,213× 286,515,732× 302,601,355× 312,722,232× 318,107,367× 297,860,410× 337,351,477× 309,073,592× 295,461,156× 284,674,035× 263,936,044× 225,300,990× 209,488,516× 179,721,488× 165,739,858× 152,899,959× 137,256,418× 132,916,458× 107,141,189× 85,755,647× 59,001,480× 49,504,201× 36,081,875× 33,362,823× 20,108,617× 11,688,786× 5,933,851× 3,658,455× 1,202,518× 652,071× 12,616× 2,777× |