| 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 | 5.94 step avg | 12.95 step avg | 1.81 step avg | 15.47 step avg | 34.10 step avg | 17.24 step avg | 62.98 step avg |
| Step Frequency Cycle Start | 0s: 1s: 1× 62× | 0s: 1s: 2s: 3s: 4s: 5s: 6s: 7s: 1× 62× 31× 62× 124× 248× 496× 992× | 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× 2,109× 1,020× 2,038× 2,028× 2,014× 1,996× 1,974× 1,948× 1,918× 1,884× 1,846× 1,804× 1,758× 1,708× 1,654× 1,596× 1,534× 1,468× 1,398× 1,324× 1,246× 1,164× 1,078× 988× 894× 796× 694× 588× 478× 364× 246× 124× | 0s: 1s: 2s: 3s: 4s: 1× 173,662× 511,345× 34,689× 1,023× | 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: 1× 10,226× 15,187× 25,106× 55,354× 90,804× 159,160× 198,688× 294,864× 277,241× 506,580× 565,749× 707,014× 607,365× 757,559× 592,501× 755,535× 636,199× 661,865× 527,698× 534,821× 408,475× 372,990× 285,336× 234,947× 178,438× 114,111× 58,296× 20,995× 3,862× 557× 124× | 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: 1× 124,020× 340,667× 523,414× 647,163× 769,171× 1,098,859× 1,608,425× 2,460,666× 967,547× 1,323,175× 1,575,259× 1,242,601× 618,973× 637,564× 550,810× 1,085,564× 876,622× 926,267× 1,534,157× 2,142,306× 1,664,620× 1,635,067× 1,873,389× 1,497,295× 2,495,785× 2,865,167× 3,186,963× 2,456,759× 2,163,017× 2,749,010× 3,166,797× 3,648,105× 2,540,689× 2,542,736× 2,693,993× 2,675,778× 3,212,620× 2,430,674× 2,372,606× 2,821,104× 3,324,143× 2,384,082× 2,397,684× 2,246,816× 2,146,087× 2,862,569× 3,166,218× 2,891,543× 1,406,583× 1,046,213× 1,101,141× 1,066,506× 846,389× 834,786× 1,298,959× 1,338,413× 413,655× 496,062× 486,949× 508,751× 666,925× 440,086× 411,104× 201,299× 274,812× 413,213× 412,805× 332,095× 344,331× 294,046× 155,196× 203,658× 213,548× 178,672× 92,917× 179,720× 211,448× 304,989× 38,969× 5,511× 7,516× 24,877× 10,745× 3,580× 22,328× | 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× 581,002× 1,469,435× 3,436,212× 5,989,714× 9,155,955× 14,182,055× 17,959,183× 24,785,639× 32,664,688× 42,104,434× 50,902,035× 60,098,329× 66,403,489× 73,950,302× 76,620,585× 82,026,627× 74,046,623× 64,706,116× 58,651,834× 46,379,591× 39,216,129× 27,776,309× 23,551,044× 19,501,513× 18,442,516× 13,920,581× 15,035,680× 16,166,332× 16,900,634× 16,253,033× 15,121,493× 14,708,950× 13,637,036× 9,800,745× 6,058,335× 3,648,143× 1,809,911× 824,099× 376,644× 34,272× | 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: 207s: 208s: 209s: 210s: 211s: 212s: 213s: 214s: 215s: 216s: 217s: 218s: 219s: 220s: 221s: 222s: 223s: 224s: 225s: 226s: 227s: 228s: 229s: 230s: 231s: 232s: 233s: 234s: 235s: 236s: 237s: 238s: 239s: 1× 3,735,918× 15,004,007× 59,605,445× 57,523,329× 62,588,108× 64,572,658× 84,376,573× 93,506,262× 86,526,630× 112,518,655× 110,611,243× 140,788,335× 139,791,498× 148,185,283× 160,256,482× 145,189,379× 133,532,382× 117,064,468× 112,592,014× 108,701,305× 93,999,581× 95,605,269× 89,072,892× 87,211,911× 86,185,748× 92,716,338× 87,089,652× 84,246,812× 91,142,783× 72,209,001× 86,869,270× 91,930,258× 67,118,534× 80,189,043× 79,535,745× 86,030,648× 89,746,737× 80,036,583× 73,475,471× 92,292,629× 82,069,257× 94,357,643× 91,818,976× 69,920,814× 83,247,323× 79,312,505× 84,729,815× 103,347,815× 93,151,204× 73,368,654× 72,130,799× 76,172,638× 87,172,948× 99,358,762× 108,014,840× 107,153,637× 92,080,838× 74,639,261× 91,558,298× 90,112,182× 72,533,411× 85,585,051× 80,243,635× 80,191,215× 76,956,857× 69,750,551× 87,041,338× 83,228,516× 67,614,370× 56,422,438× 54,207,678× 50,185,249× 56,837,538× 57,490,807× 62,896,073× 46,094,767× 45,229,421× 40,779,325× 43,558,028× 55,147,662× 61,935,712× 54,869,107× 49,253,089× 49,972,903× 43,040,275× 39,954,701× 49,061,206× 40,172,953× 43,668,300× 44,038,007× 37,479,256× 32,340,289× 36,137,455× 39,914,032× 58,805,687× 54,470,025× 48,098,001× 50,276,468× 64,006,033× 58,780,854× 40,795,355× 42,571,783× 53,212,459× 40,999,098× 37,638,799× 38,664,296× 30,983,080× 28,253,316× 31,428,690× 31,328,623× 32,907,625× 24,119,252× 20,378,947× 21,176,522× 26,489,577× 17,242,366× 25,406,574× 18,344,723× 13,266,866× 9,390,264× 7,682,222× 13,295,305× 10,839,875× 17,530,857× 10,198,351× 11,400,130× 11,504,352× 17,551,336× 18,808,048× 12,245,926× 15,722,234× 15,326,150× 13,093,948× 9,090,334× 10,741,803× 9,069,506× 7,928,665× 7,511,287× 7,783,614× 15,849,993× 22,680,783× 14,935,821× 12,659,989× 24,652,466× 31,346,355× 44,843,264× 20,401,105× 18,008,471× 20,595,274× 25,628,772× 22,787,919× 26,681,132× 23,538,924× 30,277,849× 31,093,918× 33,109,376× 34,400,562× 27,310,970× 20,088,729× 22,156,252× 26,829,306× 20,153,340× 20,190,449× 22,428,837× 14,551,305× 12,640,442× 12,936,793× 13,478,257× 12,023,272× 13,045,016× 10,904,901× 13,318,159× 22,834,988× 17,391,972× 6,780,409× 6,158,907× 5,898,843× 7,255,466× 8,536,795× 11,021,323× 6,301,387× 2,154,235× 2,554,894× 1,952,564× 3,764,664× 6,110,911× 18,538,202× 15,293,902× 13,621,572× 6,925,283× 6,822,580× 3,852,198× 4,808,632× 5,181,026× 2,446,281× 2,409,863× 2,630,154× 8,793,011× 7,936,888× 10,125,027× 10,944,277× 2,886,127× 1,844,476× 1,880,610× 1,273,101× 600,570× 905,741× 520,740× 332,725× 648,072× 1,366,127× 1,137,702× 255,758× 19,270× 221,144× 153,686× 247,134× 517,238× 1,976,628× 228,833× 435,074× 759,560× 454,550× 868,444× 1,445,715× 674,131× 1,617,220× 1,218,995× 1,211,614× 1,346,643× 3,596,996× 1,284,609× 1,530,514× 296,791× 427,741× 2,440,048× 1,218,054× 611,688× 19,066× |