| 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 | 1.48 step avg | 18.90 step avg | 4.18 step avg | 18.22 step avg | 86.55 step avg | 16.44 step avg |
| Step Frequency Cycle Start | 0s: 1s: 1× 91× | 0s: 1s: 2s: 24× 2,184× 2,070× | 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: 1× 2,253× 2,160× 4,318× 4,310× 4,298× 4,282× 4,262× 4,238× 4,210× 4,178× 4,142× 4,102× 4,058× 4,010× 3,958× 3,902× 3,842× 3,778× 3,710× 3,638× 3,562× 3,482× 3,398× 3,310× 3,218× 3,122× 3,022× 2,918× 2,810× 2,698× 2,582× 2,462× 2,338× 2,210× 2,078× 1,942× 1,802× 1,658× 1,510× 1,358× 1,202× 1,042× 878× 710× 538× 362× 182× | 0s: 1s: 2s: 3s: 4s: 5s: 6s: 7s: 8s: 9s: 10s: 1× 47,611× 121,220× 485,760× 1,943,040× 149,720× 134,151× 247,750× 17,816× 12,978× 23,498× | 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: 1× 129,367× 139,178× 182,486× 405,260× 566,956× 887,402× 974,302× 1,437,020× 1,231,558× 2,152,058× 1,758,126× 2,791,808× 2,180,800× 3,507,120× 3,038,346× 3,972,368× 3,202,320× 3,856,770× 2,976,918× 3,605,604× 2,613,768× 3,187,060× 2,425,288× 2,500,920× 2,110,226× 1,986,462× 1,681,942× 1,434,124× 1,228,434× 954,818× 729,302× 471,328× 340,172× 239,408× 149,792× 70,934× 4,318× | 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: 171s: 172s: 173s: 174s: 175s: 176s: 177s: 178s: 179s: 180s: 181s: 182s: 183s: 184s: 185s: 186s: 187s: 188s: 189s: 190s: 191s: 192s: 193s: 194s: 195s: 196s: 197s: 198s: 199s: 200s: 201s: 202s: 203s: 204s: 205s: 206s: 207s: 208s: 209s: 210s: 211s: 212s: 213s: 1× 2,656,349× 7,402,373× 3,978,741× 4,372,024× 5,596,277× 6,917,202× 6,272,991× 6,881,361× 6,909,806× 6,200,925× 6,285,580× 7,617,410× 6,277,131× 6,094,469× 6,112,417× 5,762,767× 5,546,535× 5,596,791× 5,906,914× 5,058,991× 5,954,059× 6,467,110× 5,702,352× 6,009,041× 6,306,590× 5,967,006× 5,928,448× 5,691,294× 5,786,913× 6,019,962× 6,008,916× 5,379,933× 4,951,938× 4,634,685× 4,549,198× 4,413,859× 4,021,640× 4,341,750× 5,033,177× 5,121,139× 4,913,411× 5,473,979× 5,755,631× 5,782,660× 5,466,418× 5,413,163× 5,867,415× 6,692,501× 5,561,338× 6,267,026× 6,248,695× 6,717,265× 6,145,194× 6,712,319× 6,039,354× 5,234,683× 5,712,636× 4,862,631× 4,834,103× 4,456,034× 5,638,857× 6,150,929× 5,092,309× 4,812,271× 4,456,080× 4,434,862× 5,032,143× 4,851,433× 4,347,134× 4,280,601× 4,546,504× 4,393,887× 4,131,521× 4,525,097× 4,633,008× 4,606,858× 4,437,425× 4,668,004× 5,171,147× 5,324,855× 5,776,169× 5,951,219× 5,339,025× 5,464,203× 5,848,633× 5,635,583× 5,810,286× 6,613,853× 6,894,350× 6,625,782× 7,069,084× 7,077,114× 7,075,064× 6,624,430× 7,682,156× 7,843,890× 8,197,585× 7,413,083× 7,466,735× 7,072,023× 7,827,946× 8,313,381× 8,043,406× 7,362,136× 7,359,696× 7,008,510× 6,865,612× 7,035,536× 7,187,060× 6,792,487× 7,319,127× 7,844,882× 8,190,945× 7,231,819× 6,886,550× 6,897,815× 7,457,362× 7,241,803× 7,683,078× 7,634,742× 7,460,348× 7,517,069× 7,575,254× 7,146,451× 6,096,466× 6,134,887× 6,364,796× 6,024,472× 5,511,640× 5,292,337× 5,878,208× 6,097,467× 5,219,503× 4,446,766× 4,800,409× 5,593,061× 5,464,939× 4,665,055× 4,261,432× 3,602,327× 3,732,872× 3,341,705× 3,783,404× 4,338,664× 4,227,096× 4,570,262× 4,875,921× 4,660,925× 4,625,009× 5,056,874× 5,330,333× 4,770,999× 5,452,049× 5,420,453× 4,890,879× 4,774,085× 5,138,209× 5,081,742× 5,232,037× 4,664,665× 4,540,013× 3,727,325× 3,039,282× 2,683,656× 1,864,636× 1,818,983× 2,339,142× 2,003,512× 1,812,402× 1,802,219× 1,475,749× 1,274,934× 1,451,267× 1,568,720× 1,814,878× 2,237,983× 1,896,453× 1,352,274× 1,074,036× 1,024,098× 1,040,652× 1,627,168× 1,193,276× 1,240,144× 1,217,341× 1,227,090× 1,023,444× 899,406× 764,746× 1,010,500× 854,433× 598,668× 762,800× 787,600× 685,240× 663,944× 505,797× 453,870× 346,608× 453,760× 356,472× 400,816× 532,290× 399,279× 472,458× 370,302× 263,354× 204,770× 131,356× 149,658× 276,450× 129,478× 114,960× | 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: 1× 6,318,099× 15,896,668× 44,681,450× 72,558,116× 122,982,198× 163,138,012× 222,613,928× 329,839,162× 398,278,600× 491,222,992× 619,255,712× 695,837,832× 762,116,548× 888,727,694× 1,020,872,212× 1,042,816,548× 956,412,208× 1,027,307,454× 933,775,410× 833,143,290× 751,412,368× 663,729,448× 570,347,664× 431,129,608× 319,885,080× 195,940,666× 128,458,572× 69,421,096× 37,583,200× 12,964,382× 5,570,690× 176,244× |