| 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 |
| 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 | 8 | 9 |
|---|---|---|---|---|---|---|---|---|---|
| Average Steps Cycle Start | 0.98 step avg | 2.98 step avg | 9.17 step avg | 1.84 step avg | 9.65 step avg | 18.32 step avg | 14.52 step avg | 36.24 step avg | 14.16 step avg |
| Step Frequency Cycle Start | 0s: 1s: 1× 42× | 0s: 1s: 2s: 3s: 4s: 4× 154× 116× 252× 420× | 0s: 1s: 2s: 3s: 4s: 5s: 6s: 7s: 8s: 9s: 10s: 11s: 12s: 13s: 14s: 15s: 16s: 17s: 18s: 19s: 20s: 21s: 22s: 1× 1,009× 480× 958× 948× 934× 916× 894× 868× 838× 804× 766× 724× 678× 628× 574× 516× 454× 388× 318× 244× 166× 84× | 0s: 1s: 2s: 3s: 4s: 1× 38,542× 112,630× 11,529× 483× | 0s: 1s: 2s: 3s: 4s: 5s: 6s: 7s: 8s: 9s: 10s: 11s: 12s: 13s: 14s: 15s: 16s: 17s: 18s: 19s: 1× 23,360× 29,175× 22,273× 52,204× 70,913× 90,868× 124,186× 152,968× 156,771× 174,555× 166,832× 124,107× 132,896× 76,077× 60,512× 42,479× 23,164× 9,067× 1,531× | 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: 1× 65,844× 174,594× 318,229× 876,269× 447,010× 476,169× 360,958× 322,876× 326,788× 326,636× 234,976× 275,521× 379,461× 424,292× 451,217× 463,085× 517,690× 445,358× 343,681× 263,070× 289,685× 358,638× 285,800× 235,068× 309,429× 362,934× 290,387× 275,613× 234,825× 252,705× 298,513× 251,434× 173,561× 125,878× 97,278× 116,560× 109,992× 84,396× 64,606× 57,869× 65,105× 61,052× 49,903× 49,034× 42,667× 20,787× 26,602× 15,729× 23,916× 26,367× 10,941× 10,388× 12,673× 13,593× 17,225× 13,559× 16,549× 7,347× 16,538× 1,599× 844× 198× | 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: 1× 134,122× 349,900× 744,727× 1,154,706× 1,905,382× 2,570,929× 3,376,109× 4,462,275× 4,908,984× 5,310,647× 6,251,151× 6,930,629× 8,133,875× 7,189,885× 5,485,299× 3,836,518× 2,709,657× 1,854,837× 1,378,321× 1,126,669× 964,034× 999,493× 922,341× 1,329,787× 1,834,012× 1,793,761× 1,939,228× 1,683,128× 1,483,771× 1,302,520× 813,392× 505,592× 303,401× 173,553× 37,737× 211× | 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: 1× 101,988× 490,061× 2,242,137× 5,211,012× 5,653,373× 5,189,778× 6,031,412× 7,313,232× 7,846,243× 7,757,135× 8,993,583× 7,313,080× 7,167,862× 7,490,135× 6,709,847× 6,016,458× 6,715,192× 7,826,688× 9,129,895× 10,243,179× 10,183,516× 10,683,638× 10,108,967× 12,956,422× 12,752,482× 10,158,771× 11,706,099× 10,908,912× 11,929,433× 11,265,482× 11,929,307× 12,216,903× 12,011,859× 11,894,090× 11,540,152× 11,129,957× 10,674,490× 9,787,290× 8,704,772× 10,225,551× 10,617,789× 9,255,680× 7,090,789× 8,077,954× 7,655,677× 7,148,870× 6,888,577× 6,522,823× 6,366,818× 5,523,429× 7,318,074× 6,047,655× 5,028,390× 3,834,093× 3,609,627× 4,080,282× 3,495,403× 3,328,716× 2,278,561× 2,551,101× 2,450,500× 2,600,852× 2,650,698× 1,673,339× 1,408,906× 1,821,968× 2,801,087× 3,682,294× 2,961,128× 2,516,759× 2,571,718× 3,862,654× 3,112,180× 3,144,995× 2,258,764× 2,230,827× 1,766,749× 1,695,532× 2,526,486× 2,107,535× 1,603,218× 1,750,788× 1,815,965× 2,468,959× 1,394,695× 1,413,296× 1,814,653× 1,350,292× 1,288,998× 722,499× 256,298× 395,403× 250,999× 274,868× 175,807× 98,664× 89,432× 143,054× 589,411× 563,543× 960,491× 623,735× 531,894× 304,987× 327,969× 273,236× 432,851× 106,603× 37,046× 14,021× 12,128× 15,622× 1,562× | 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× 2,736,074× 12,974,227× 29,966,752× 58,550,424× 94,770,766× 128,825,699× 165,058,029× 186,210,139× 219,146,693× 230,783,651× 222,838,399× 177,590,515× 147,753,879× 117,051,234× 110,483,497× 102,280,659× 91,313,691× 98,101,196× 92,566,270× 108,119,801× 103,726,274× 97,333,891× 75,228,723× 67,126,221× 77,470,425× 65,581,349× 50,301,640× 37,923,209× 22,694,620× 19,359,969× 10,566,370× 6,837,216× 6,541,961× 3,306,281× 1,013,046× 159,651× 19,908× |