| 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 Full Cycle | 1.99 step avg | 10.25 step avg | 16.14 step avg | 9.62 step avg | 18.04 step avg | 84.07 step avg | 30.22 step avg |
| Step Frequency Full Cycle | 0s: 1s: 2s: 0× 1× 71× | 0s: 1s: 2s: 3s: 4s: 5s: 6s: 7s: 8s: 9s: 10s: 11s: 0× 1× 71× 0× 0× 0× 0× 0× 0× 18× 1,278× 1,260× | 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: 0× 1× 1,403× 1,330× 2,658× 2,650× 2,638× 2,622× 2,602× 2,578× 2,550× 2,518× 2,482× 2,442× 2,398× 2,350× 2,298× 2,242× 2,182× 2,118× 2,050× 1,978× 1,902× 1,822× 1,738× 1,650× 1,558× 1,462× 1,362× 1,258× 1,150× 1,038× 922× 802× 678× 550× 418× 282× 142× | 0s: 1s: 2s: 3s: 4s: 5s: 6s: 7s: 8s: 9s: 10s: 11s: 12s: 13s: 14s: 15s: 16s: 17s: 18s: 19s: 20s: 0× 1× 71× 0× 4,000× 8,112× 32,832× 131,328× 525,312× 55,784× 49,636× 96,016× 181,622× 17,340× 12,776× 22,930× 44,032× 7,248× 4,024× 7,754× 14,632× | 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: 0× 1× 15,071× 25,526× 37,658× 79,666× 131,352× 229,114× 287,896× 425,100× 391,594× 722,736× 732,244× 1,014,020× 989,246× 1,302,568× 1,035,784× 1,336,152× 1,059,776× 1,324,570× 1,062,502× 1,116,488× 904,214× 956,398× 732,088× 689,956× 541,662× 451,960× 335,228× 254,580× 173,270× 85,044× 28,166× 3,210× | 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: 153s: 154s: 155s: 156s: 157s: 158s: 159s: 160s: 161s: 162s: 163s: 164s: 165s: 166s: 167s: 168s: 169s: 170s: 0× 1× 1,403× 0× 18,684× 46,628× 0× 0× 0× 0× 63,316× 168,540× 84,861× 121,831× 117,054× 72,372× 154,609× 224,255× 358,673× 431,656× 538,736× 746,188× 857,125× 864,018× 1,135,835× 1,328,515× 1,264,249× 1,446,364× 1,412,501× 1,389,341× 1,468,652× 1,452,988× 1,340,007× 1,284,321× 1,105,329× 1,247,946× 1,115,658× 1,191,195× 1,154,373× 1,185,565× 1,501,984× 1,688,626× 1,706,815× 1,249,550× 1,361,902× 1,311,963× 1,231,938× 1,326,318× 2,069,502× 2,275,457× 1,893,708× 2,127,597× 2,201,548× 2,087,645× 2,168,720× 2,100,023× 1,844,812× 2,038,929× 2,240,132× 2,882,731× 2,582,323× 2,354,803× 2,329,697× 2,368,503× 2,846,881× 2,876,777× 3,102,287× 3,101,410× 3,191,605× 2,909,574× 2,780,284× 2,904,552× 2,430,437× 2,067,654× 1,754,783× 1,987,988× 1,887,935× 1,914,853× 1,900,585× 2,144,218× 1,951,491× 2,034,972× 2,094,796× 1,821,227× 1,511,954× 1,311,489× 1,368,336× 1,240,952× 1,019,041× 1,215,002× 1,287,508× 1,234,857× 1,413,521× 1,806,426× 2,034,002× 2,151,924× 2,524,283× 2,552,551× 2,559,750× 2,600,245× 2,872,332× 2,988,008× 3,057,671× 3,207,387× 3,091,863× 2,959,184× 3,048,064× 3,155,030× 2,746,755× 2,161,812× 2,262,951× 2,202,463× 2,237,656× 2,236,640× 2,186,882× 2,005,543× 1,752,113× 1,826,954× 1,753,551× 1,773,628× 1,860,578× 1,850,687× 1,996,541× 1,901,971× 1,978,424× 1,942,011× 1,894,979× 1,909,416× 1,447,380× 1,768,432× 1,612,876× 1,498,820× 1,575,175× 1,413,177× 1,137,013× 959,945× 925,364× 930,268× 802,672× 711,452× 515,086× 413,655× 405,158× 262,170× 340,936× 370,362× 265,056× 306,783× 229,896× 305,418× 302,600× 293,256× 357,496× 467,056× 546,966× 597,212× 655,502× 653,246× 446,860× 440,584× 305,106× 223,066× 206,993× 157,260× 103,800× 128,860× 147,690× 56,450× 23,704× 22,294× 25,426× | 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: 0× 1× 123,533× 445,576× 1,534,724× 3,006,000× 4,853,456× 6,497,152× 9,285,896× 13,036,332× 16,893,986× 18,053,832× 22,647,516× 27,386,500× 32,160,672× 31,448,318× 35,077,500× 29,105,336× 27,037,780× 26,959,962× 22,572,718× 17,205,980× 19,452,602× 26,062,860× 38,511,866× 49,022,672× 62,920,282× 89,516,464× 114,188,870× 139,892,328× 174,639,998× 204,745,976× 212,478,736× 190,605,526× 204,298,660× 183,305,858× 162,939,410× 132,588,500× 111,228,360× 77,774,368× 47,814,624× 25,936,778× 15,650,064× 8,450,658× 2,757,434× 1,687,044× 85,268× 14,144× |