| 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 | 4.78 step avg | 15.96 step avg | 1.80 step avg | 16.44 step avg | 31.53 step avg | 19.62 step avg |
| Step Frequency Cycle Start | 0s: 1s: 1× 78× | 0s: 1s: 2s: 3s: 4s: 5s: 6s: 2× 171× 101× 234× 468× 936× 1,248× | 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: 1× 3,277× 1,596× 3,190× 3,180× 3,166× 3,148× 3,126× 3,100× 3,070× 3,036× 2,998× 2,956× 2,910× 2,860× 2,806× 2,748× 2,686× 2,620× 2,550× 2,476× 2,398× 2,316× 2,230× 2,140× 2,046× 1,948× 1,846× 1,740× 1,630× 1,516× 1,398× 1,276× 1,150× 1,020× 886× 748× 606× 460× 310× 156× | 0s: 1s: 2s: 3s: 4s: 1× 424,918× 1,255,501× 67,041× 1,599× | 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× 137,300× 135,267× 119,749× 272,044× 347,483× 515,375× 563,275× 827,903× 802,308× 1,039,245× 1,172,932× 1,298,845× 1,614,999× 1,537,573× 1,871,643× 1,851,544× 2,021,265× 1,839,943× 1,902,019× 1,563,745× 1,766,217× 1,281,360× 1,329,494× 914,060× 842,015× 536,242× 394,621× 270,717× 163,184× 72,817× 23,931× 5,280× | 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: 1× 523,708× 1,214,325× 2,895,753× 6,741,514× 12,997,610× 21,376,954× 9,235,129× 9,023,409× 8,976,712× 8,607,701× 9,904,454× 8,636,414× 7,222,592× 6,130,491× 6,242,490× 6,487,892× 6,429,675× 7,219,473× 7,364,317× 6,038,831× 6,457,417× 5,043,863× 5,613,097× 5,727,873× 5,769,020× 6,708,741× 6,535,252× 7,470,005× 9,163,899× 8,582,662× 8,502,343× 9,914,787× 9,751,385× 9,514,533× 7,244,766× 8,099,266× 8,265,811× 7,221,565× 6,581,697× 4,723,079× 4,759,284× 5,871,742× 5,401,742× 4,145,952× 3,845,383× 5,527,255× 3,707,396× 2,925,999× 2,725,056× 2,208,975× 2,724,794× 2,604,301× 3,044,821× 3,293,696× 3,395,067× 2,454,469× 2,616,960× 2,335,213× 2,161,626× 2,400,346× 2,212,556× 2,511,401× 1,447,354× 1,359,846× 1,379,421× 1,295,191× 968,259× 1,225,613× 1,485,150× 682,839× 1,175,832× 1,193,759× 614,034× 347,369× 285,871× 234,501× 143,248× 125,403× 345,147× 385,131× 134,052× 189,706× 282,281× 43,381× 25,973× 45,045× 63,380× 56,703× 21,475× 57,328× 79,897× 39,065× 29,586× 13,998× 34,616× 56,854× 84,952× 445,087× 480,807× 436,844× 407,225× 386,769× 1,079,344× 1,318,611× 1,263,486× 780,881× 1,047,883× 847,290× 1,804,670× 862,901× 520,282× 540,966× 695,684× 709,400× 613,815× 546,536× 793,482× 610,012× 313,733× 322,275× 345,874× 84,467× 45,096× 95,805× 95,519× | 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: 1× 1,394,410× 3,410,035× 9,583,464× 15,178,768× 25,324,946× 38,028,609× 54,275,685× 72,283,455× 92,261,127× 114,765,319× 148,780,249× 185,547,383× 221,079,450× 234,199,404× 271,570,190× 299,498,304× 303,546,801× 297,768,779× 308,419,018× 277,054,386× 271,345,846× 247,088,346× 192,399,055× 170,412,305× 132,844,865× 122,816,675× 91,887,818× 90,215,703× 76,098,459× 71,268,883× 70,223,579× 66,277,697× 67,128,911× 58,498,009× 55,311,740× 51,742,981× 43,875,153× 31,547,047× 23,448,799× 13,916,756× 7,345,870× 4,309,651× 1,452,101× 402,049× 19,239× |