| 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 |
| 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 |
|---|---|---|---|---|---|---|---|---|
| Average Steps Cycle Start | 0.98 step avg | 3.02 step avg | 12.19 step avg | 1.81 step avg | 12.55 step avg | 28.19 step avg | 16.74 step avg | 54.33 step avg |
| Step Frequency Cycle Start | 0s: 1s: 1× 58× | 0s: 1s: 2s: 3s: 4s: 5× 271× 218× 464× 812× | 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: 1× 1,857× 896× 1,790× 1,780× 1,766× 1,748× 1,726× 1,700× 1,670× 1,636× 1,598× 1,556× 1,510× 1,460× 1,406× 1,348× 1,286× 1,220× 1,150× 1,076× 998× 916× 830× 740× 646× 548× 446× 340× 230× 116× | 0s: 1s: 2s: 3s: 4s: 1× 134,038× 394,226× 28,681× 899× | 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: 1× 33,578× 43,098× 53,060× 120,844× 165,236× 262,822× 281,797× 427,760× 437,650× 613,591× 565,012× 640,670× 498,695× 558,638× 466,573× 406,674× 373,395× 303,301× 255,504× 175,126× 121,613× 82,758× 74,347× 49,742× 17,362× | 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× 444,862× 1,171,529× 2,580,697× 7,072,122× 3,071,416× 2,600,172× 2,301,029× 2,067,849× 1,657,204× 1,548,363× 1,654,449× 1,490,466× 1,594,943× 1,132,265× 907,951× 1,143,537× 1,163,826× 1,176,767× 1,112,974× 995,470× 1,051,985× 992,472× 1,061,644× 1,151,192× 1,231,163× 829,049× 990,088× 1,038,077× 1,065,455× 1,048,865× 1,013,484× 765,776× 626,155× 741,543× 885,250× 897,833× 1,075,847× 1,004,548× 866,818× 663,752× 534,864× 410,304× 584,610× 607,517× 988,382× 910,274× 683,462× 536,146× 458,518× 458,677× 423,186× 341,841× 635,278× 937,406× 618,909× 354,599× 238,734× 416,476× 359,759× 389,182× 330,433× 258,093× 263,896× 218,799× 146,429× 194,607× 117,948× 143,395× 84,120× 72,076× 84,542× 177,868× 160,361× 129,957× 190,562× 325,885× 386,381× 297,604× 330,697× 208,044× 105,113× 202,155× 272,863× 211,050× 247,626× 123,696× 88,886× 73,647× 69,240× 65,997× 101,559× 96,212× 76,551× 81,971× 90,902× 136,422× 137,009× 186,591× 213,654× 150,830× 203,396× 124,778× 86,168× 102,367× 83,620× 54,330× 100,039× 77,077× 8,094× 17,803× 16,077× 25,754× 147,103× 101,793× 38,581× 18,347× 23,245× 17,736× 18,536× 26,124× 29,703× 11,923× 2,322× 8,349× 420× | 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× 451,210× 1,150,620× 2,544,449× 4,389,991× 7,037,523× 10,108,229× 13,492,529× 18,226,271× 25,308,200× 31,458,636× 36,348,811× 44,139,218× 45,895,862× 49,600,167× 48,715,689× 53,595,700× 45,759,498× 41,171,427× 32,317,880× 24,172,008× 18,768,044× 14,153,714× 13,590,725× 11,250,117× 11,983,718× 9,861,621× 9,936,422× 10,588,178× 11,302,549× 10,300,973× 9,242,824× 7,698,373× 7,516,539× 5,699,216× 4,139,422× 1,937,701× 1,598,393× 595,422× 128,890× 13,800× | 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: 1× 2,364,817× 10,565,404× 51,097,939× 66,783,439× 71,894,546× 73,653,524× 69,954,744× 64,706,681× 66,892,936× 67,545,118× 69,492,500× 63,771,566× 57,974,519× 59,412,190× 61,470,833× 56,458,329× 60,677,963× 67,481,865× 69,126,745× 68,585,043× 53,683,484× 47,972,993× 49,336,609× 56,373,803× 57,603,962× 71,596,876× 74,944,928× 63,865,364× 70,191,579× 71,836,691× 79,288,393× 71,545,578× 69,523,683× 60,691,235× 67,824,403× 70,296,713× 66,817,677× 55,682,159× 54,403,101× 66,523,223× 59,157,726× 59,957,934× 55,765,387× 58,203,767× 55,861,596× 50,985,272× 57,197,742× 62,795,160× 65,825,871× 75,487,866× 68,929,879× 67,424,039× 61,538,761× 61,548,081× 58,246,437× 52,934,903× 56,307,503× 46,100,770× 42,305,066× 42,536,884× 53,857,548× 49,531,133× 56,098,972× 47,951,922× 51,920,404× 46,201,220× 44,788,509× 43,567,682× 51,319,005× 46,707,382× 45,119,379× 46,143,178× 45,345,643× 44,373,911× 45,500,595× 44,900,819× 48,329,628× 50,243,470× 49,765,731× 43,759,341× 41,517,127× 38,048,040× 32,471,520× 33,163,323× 23,185,310× 22,766,375× 20,169,307× 20,225,553× 17,626,005× 25,800,680× 20,925,509× 22,203,292× 20,703,609× 20,903,443× 22,999,912× 21,547,924× 19,258,575× 16,203,144× 20,667,334× 21,571,803× 22,214,962× 22,691,401× 16,307,738× 18,530,490× 20,564,906× 19,461,579× 22,664,599× 16,374,199× 12,565,246× 15,643,182× 12,910,659× 11,574,173× 11,383,721× 10,587,344× 7,478,737× 5,977,807× 4,506,845× 5,395,822× 4,652,781× 3,977,849× 6,123,531× 6,563,322× 9,681,682× 8,108,569× 9,377,195× 7,311,299× 8,147,724× 10,039,516× 9,344,135× 16,431,055× 14,336,651× 9,719,473× 10,398,470× 7,604,658× 4,298,776× 5,774,938× 7,427,679× 7,335,473× 7,110,328× 5,716,715× 11,039,313× 12,096,450× 8,608,914× 11,707,355× 13,336,315× 11,191,709× 8,493,943× 11,518,461× 13,343,076× 11,402,311× 11,412,960× 9,460,289× 7,294,771× 5,832,017× 3,183,296× 3,296,872× 3,094,593× 2,811,636× 1,532,505× 1,241,064× 1,414,542× 1,187,911× 803,968× 1,304,293× 1,367,486× 1,913,781× 1,893,040× 3,037,505× 2,986,670× 2,546,936× 2,227,215× 3,379,763× 4,714,914× 2,057,726× 1,276,785× 862,211× 1,530,493× 2,683,867× 2,704,778× 2,297,517× 856,579× 1,564,533× 3,923,688× 2,982,561× 5,132,815× 5,991,488× 5,105,156× 4,420,907× 3,901,792× 2,911,719× 1,620,681× 1,223,036× 803,751× 1,984,219× 955,235× 980,580× 663,316× 649,747× 397,324× 359,094× 189,380× 81,478× 34,149× 27,355× |