| 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 | 2.18 step avg | 11.06 step avg | 1.82 step avg | 11.55 step avg | 64.25 step avg | 15.28 step avg | 49.73 step avg |
| Step Frequency Cycle Start | 0s: 1s: 1× 52× | 0s: 1s: 2s: 3s: 8× 396× 351× 676× | 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: 1× 1,509× 725× 1,448× 1,438× 1,424× 1,406× 1,384× 1,358× 1,328× 1,294× 1,256× 1,214× 1,168× 1,118× 1,064× 1,006× 944× 878× 808× 734× 656× 574× 488× 398× 304× 206× 104× | 0s: 1s: 2s: 3s: 4s: 1× 87,802× 258,453× 20,306× 728× | 0s: 1s: 2s: 3s: 4s: 5s: 6s: 7s: 8s: 9s: 10s: 11s: 12s: 13s: 14s: 15s: 16s: 17s: 18s: 19s: 20s: 21s: 22s: 23s: 1× 24,604× 32,782× 39,512× 90,452× 122,928× 195,802× 220,444× 306,420× 331,555× 416,479× 358,616× 394,021× 320,493× 291,318× 263,218× 215,411× 185,388× 124,377× 87,155× 60,241× 55,995× 37,454× 12,440× | 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: 1× 130,409× 316,405× 614,168× 423,084× 350,724× 365,350× 399,781× 321,919× 303,609× 195,531× 207,290× 291,540× 349,712× 331,595× 402,507× 452,333× 370,626× 548,832× 526,953× 453,922× 499,825× 588,132× 513,569× 468,379× 591,868× 730,204× 546,081× 611,319× 475,815× 393,227× 460,617× 394,627× 340,867× 358,377× 273,625× 278,104× 251,624× 282,875× 259,787× 288,005× 268,255× 263,555× 192,151× 212,870× 133,063× 170,096× 245,540× 240,227× 110,054× 150,400× 180,278× 278,518× 222,993× 172,474× 174,684× 149,164× 171,218× 201,005× 266,655× 221,005× 225,299× 266,598× 251,860× 197,694× 260,703× 292,823× 270,037× 246,915× 278,435× 240,490× 283,570× 233,696× 245,387× 250,505× 256,048× 252,896× 247,896× 273,005× 294,054× 299,654× 392,136× 415,698× 397,097× 392,480× 399,579× 471,959× 470,017× 466,460× 375,421× 332,006× 325,424× 440,639× 354,284× 313,838× 267,787× 255,914× 240,244× 203,338× 261,930× 337,687× 314,930× 294,780× 336,868× 391,186× 393,939× 335,925× 298,363× 257,540× 157,683× 75,375× 70,737× 72,152× 58,170× 57,764× 37,658× 42,667× 51,073× 38,094× 55,438× 62,223× 27,149× 37,303× 52,070× 75,580× 90,403× 101,156× 134,292× 132,404× 124,771× 143,222× 144,245× 135,843× 122,948× 144,800× 138,751× 51,887× 34,158× 40,797× 73,398× 138,122× 129,813× 100,078× 44,947× 46,683× 53,075× 82,660× 128,067× 155,632× 156,113× 97,120× 116,604× 126,074× 152,253× 169,443× 49,550× 70,499× 101,924× 110,784× 114,075× 61,054× 40,366× 56,328× 22,350× 41,921× 31,834× 58,244× 63,733× 54,024× 33,815× 37,066× 30,141× 14,479× 33,670× 38,204× 13,989× 17,171× 24,129× 25,312× 27,073× 44,380× 22,080× 7,077× 12,870× 28,395× 14,994× 475× | 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: 1× 301,652× 686,008× 1,591,005× 3,157,416× 5,464,420× 7,275,565× 10,148,440× 13,366,233× 16,331,152× 18,572,103× 21,864,557× 24,833,922× 26,097,714× 23,834,693× 21,464,963× 19,333,145× 14,723,571× 11,849,137× 10,976,937× 11,373,345× 12,434,989× 13,727,752× 12,794,904× 12,122,294× 8,089,054× 6,154,503× 3,923,860× 3,050,496× 2,623,671× 1,523,572× 848,519× 326,641× 203,975× 75,184× 4,053× | 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: 1× 1,135,011× 4,574,067× 19,592,392× 25,722,351× 23,359,208× 26,233,600× 26,476,157× 30,497,589× 28,410,754× 25,955,180× 26,127,405× 24,529,746× 24,277,971× 16,893,858× 21,109,589× 21,138,708× 24,730,046× 27,473,866× 29,849,244× 36,217,416× 41,826,489× 42,411,941× 37,483,367× 31,970,417× 30,638,239× 31,966,022× 35,217,426× 34,055,597× 28,363,794× 25,074,200× 23,037,591× 22,744,741× 18,557,087× 19,345,228× 17,583,870× 21,782,125× 24,763,886× 23,458,210× 23,115,566× 28,294,316× 34,443,622× 30,720,861× 29,589,666× 36,319,267× 32,196,189× 29,646,646× 25,758,196× 28,010,486× 24,772,087× 27,259,677× 31,818,623× 29,670,653× 35,157,403× 34,667,140× 41,187,971× 39,318,042× 41,102,037× 38,052,755× 29,365,397× 30,389,080× 32,563,932× 32,535,375× 26,699,282× 22,759,443× 23,355,321× 28,222,428× 28,221,665× 23,094,925× 27,540,001× 26,055,282× 23,349,793× 26,206,562× 33,994,062× 33,563,778× 23,338,666× 24,919,615× 19,043,168× 17,730,257× 19,790,412× 17,446,863× 21,241,628× 18,764,087× 15,369,822× 22,480,184× 24,337,128× 18,190,793× 20,213,227× 18,553,446× 13,199,091× 9,750,361× 10,999,216× 10,844,722× 8,812,019× 8,474,478× 9,152,473× 6,713,842× 6,663,083× 4,918,248× 4,043,286× 3,194,661× 3,554,892× 2,384,369× 1,640,495× 2,508,812× 4,356,775× 2,226,763× 2,939,238× 1,436,569× 1,430,983× 575,427× 802,311× 3,076,730× 2,419,083× 4,864,921× 3,241,936× 3,582,825× 2,916,514× 4,030,157× 4,490,970× 4,137,987× 5,866,011× 2,771,456× 2,413,041× 1,729,463× 1,312,764× 3,264,942× 4,192,131× 4,059,173× 5,002,710× 3,858,912× 2,195,064× 1,295,600× 714,378× 1,845,902× 2,335,043× 699,283× 748,522× 1,100,895× 1,723,690× 2,076,500× 706,705× 620,042× 492,497× 935,336× 518,441× 761,190× 3,241,510× 1,431,441× 550,194× 613,304× 706,560× 156,288× 140,968× 18,976× 80,736× 20,430× 13,380× 2,916× |