| 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 Full Cycle | 1.98 step avg | 8.85 step avg | 13.06 step avg | 27.29 step avg | 15.55 step avg | 79.40 step avg | 17.44 step avg | 79.67 step avg |
| Step Frequency Full Cycle | 0s: 1s: 2s: 0× 1× 52× | 0s: 1s: 2s: 3s: 4s: 5s: 6s: 7s: 8s: 9s: 10s: 11s: 12s: 0× 2× 86× 44× 132× 75× 156× 0× 0× 5× 230× 233× 468× | 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: 0× 1× 52× 1,457× 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: 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: 0× 1× 52× 0× 0× 0× 0× 0× 0× 0× 0× 0× 0× 0× 3,378× 10,953× 413× 0× 0× 0× 0× 0× 0× 0× 0× 0× 0× 84,372× 247,500× 19,893× 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: 24s: 25s: 26s: 27s: 0× 1× 52× 0× 0× 24,552× 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: 187s: 188s: 189s: 190s: 191s: 192s: 193s: 194s: 195s: 196s: 197s: 198s: 199s: 200s: 201s: 202s: 203s: 204s: 205s: 206s: 0× 1× 3,796× 7,956× 42,298× 60,867× 137,412× 113,038× 108,609× 150,380× 176,621× 170,564× 193,721× 205,762× 201,028× 245,176× 271,322× 340,949× 309,962× 254,327× 241,632× 386,656× 434,881× 440,213× 408,846× 367,031× 481,079× 560,898× 599,535× 559,781× 450,878× 424,923× 546,347× 548,759× 520,067× 509,406× 534,396× 360,955× 321,973× 397,471× 457,988× 429,940× 491,800× 337,722× 233,612× 314,912× 252,931× 279,479× 264,392× 211,543× 276,072× 283,632× 241,772× 220,692× 245,469× 228,910× 167,148× 126,325× 151,164× 69,446× 88,399× 85,961× 110,202× 116,187× 160,805× 109,994× 181,731× 150,036× 147,378× 78,916× 93,016× 99,991× 139,846× 137,864× 140,681× 145,053× 142,962× 196,959× 206,710× 247,484× 221,701× 207,409× 264,253× 276,576× 216,802× 310,526× 307,831× 271,976× 253,112× 240,695× 268,828× 276,563× 197,732× 203,036× 181,464× 189,459× 158,348× 183,081× 232,391× 277,074× 292,902× 389,529× 409,261× 376,070× 391,328× 399,391× 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: 36s: 37s: 0× 1× 52× 150,956× 388,392× 1,083,240× 2,647,992× 4,883,822× 6,557,481× 9,116,112× 11,648,446× 15,190,682× 18,378,302× 21,407,227× 25,237,217× 27,342,493× 26,055,945× 23,881,739× 20,040,716× 14,875,331× 11,953,731× 11,032,757× 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: 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: 0× 1× 52× 0× 0× 0× 0× 41,136× 252,103× 1,055,705× 2,643,139× 2,831,112× 4,234,842× 4,122,471× 3,794,755× 3,604,772× 2,747,830× 3,456,683× 4,797,609× 3,277,943× 2,798,772× 1,698,540× 2,388,915× 2,684,629× 4,073,041× 3,731,167× 1,733,392× 2,088,465× 5,134,624× 6,251,683× 7,115,723× 12,429,667× 12,210,419× 10,358,206× 14,600,499× 15,290,888× 18,278,237× 24,110,826× 23,472,532× 25,599,809× 26,130,251× 24,129,897× 19,075,025× 18,643,678× 17,320,787× 18,084,035× 21,723,084× 19,014,755× 17,775,413× 21,048,798× 30,763,372× 40,672,038× 42,507,668× 42,421,304× 32,717,759× 28,556,024× 29,651,017× 31,429,867× 31,609,516× 28,093,831× 23,223,413× 21,578,263× 21,748,319× 20,387,421× 16,026,134× 17,262,394× 16,402,618× 21,052,761× 24,871,230× 24,056,840× 23,658,509× 27,941,724× 33,983,795× 30,934,191× 30,676,762× 36,758,801× 31,494,723× 28,566,893× 25,139,765× 27,519,914× 23,028,008× 26,085,197× 31,187,526× 29,503,875× 34,829,030× 34,400,078× 40,957,646× 39,230,600× 40,885,925× 38,014,931× 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× |