| 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 | 6.55 step avg | 13.44 step avg | 20.77 step avg | 15.24 step avg | 50.23 step avg | 24.19 step avg | 100.99 step avg |
| Step Frequency Full Cycle | 0s: 1s: 2s: 0× 1× 54× | 0s: 1s: 2s: 3s: 4s: 5s: 6s: 7s: 8s: 0× 1× 54× 29× 145× 177× 162× 324× 648× | 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× 54× 1,567× 780× 1,558× 1,548× 1,534× 1,516× 1,494× 1,468× 1,438× 1,404× 1,366× 1,324× 1,278× 1,228× 1,174× 1,116× 1,054× 988× 918× 844× 766× 684× 598× 508× 414× 316× 214× 108× | 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: 0× 1× 560× 781× 0× 0× 3,700× 8,050× 0× 0× 0× 6,558× 16,382× 1,417× 0× 0× 0× 0× 0× 0× 0× 90,792× 273,254× 21,992× 783× | 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: 0× 1× 54× 0× 20,355× 51,718× 47,011× 64,848× 118,497× 151,789× 239,289× 252,160× 355,047× 329,087× 454,888× 424,211× 527,761× 409,695× 467,075× 276,845× 306,101× 202,228× 145,636× 89,611× 48,352× 19,648× 4,479× | 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: 0× 1× 7,222× 10,433× 33,664× 136,416× 619,606× 232,394× 121,679× 83,376× 68,891× 97,624× 85,520× 137,957× 166,441× 58,495× 41,685× 84,574× 262,037× 160,956× 101,888× 80,967× 237,174× 188,165× 155,918× 194,340× 414,603× 653,880× 642,243× 537,823× 630,017× 491,942× 564,558× 705,513× 813,759× 1,018,107× 821,419× 970,208× 1,123,261× 828,811× 1,199,089× 1,016,185× 1,059,052× 847,553× 1,191,426× 910,175× 922,657× 1,016,620× 941,993× 1,091,122× 1,523,568× 2,262,929× 1,027,010× 1,087,788× 890,533× 764,668× 643,734× 721,585× 1,017,053× 1,006,762× 1,142,170× 939,214× 750,533× 568,917× 599,745× 624,004× 822,885× 706,937× 874,075× 1,012,367× 782,253× 423,556× 400,499× 429,633× 497,018× 444,044× 366,966× 243,581× 294,812× 438,561× 612,238× 379,362× 335,824× 327,726× 449,114× 301,376× 301,128× 195,351× 31,069× 29,231× 8,002× 6,600× | 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: 0× 1× 54× 0× 0× 0× 0× 0× 0× 344,356× 885,115× 1,937,988× 3,225,831× 5,045,410× 7,893,764× 10,175,411× 13,981,319× 18,596,858× 21,803,359× 24,887,758× 28,453,528× 30,830,247× 33,592,613× 31,909,920× 32,666,209× 28,770,980× 23,455,133× 15,518,206× 12,065,198× 7,957,922× 6,731,288× 5,739,879× 4,809,563× 6,583,878× 6,418,852× 7,072,217× 7,176,452× 9,224,562× 7,610,856× 6,159,969× 4,198,993× 4,651,742× 2,475,286× 1,660,343× 1,120,105× 556,050× 75,813× 7,752× | 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× 20,822× 78,209× 434,432× 1,980,622× 7,329,647× 3,740,817× 3,164,869× 3,262,697× 4,475,273× 1,664,401× 2,833,733× 1,284,669× 1,060,787× 1,469,247× 1,349,080× 3,172,185× 5,848,029× 9,376,452× 10,356,113× 10,117,983× 8,171,351× 11,384,981× 13,003,818× 13,457,002× 17,824,186× 25,197,362× 30,203,890× 24,605,242× 22,547,351× 28,584,904× 32,450,067× 28,599,959× 29,734,344× 22,471,906× 23,238,073× 24,374,612× 22,720,763× 20,049,038× 21,822,742× 18,219,233× 16,859,529× 16,777,919× 18,465,310× 17,614,092× 18,613,171× 22,498,128× 21,732,277× 21,301,667× 26,224,758× 25,254,896× 32,129,924× 34,429,042× 35,662,084× 31,748,021× 30,239,696× 27,778,597× 28,288,147× 25,822,363× 29,311,369× 30,244,942× 29,365,719× 31,716,816× 28,844,770× 28,760,053× 22,112,433× 17,084,488× 14,240,175× 12,595,048× 13,929,934× 16,899,330× 15,649,222× 13,982,781× 12,043,388× 7,507,327× 8,409,739× 6,401,290× 6,669,253× 6,119,270× 6,598,762× 7,193,031× 9,831,007× 15,733,027× 12,901,671× 12,724,973× 11,369,662× 9,885,355× 8,838,152× 11,428,677× 7,852,448× 7,642,462× 7,772,990× 6,678,560× 8,907,583× 4,840,314× 3,375,071× 2,865,989× 3,115,636× 3,174,595× 2,050,227× 1,904,684× 1,972,879× 1,702,766× 3,741,558× 2,734,909× 4,775,683× 5,511,292× 12,025,676× 9,185,815× 11,259,314× 14,816,009× 29,655,887× 28,496,327× 31,763,597× 30,440,666× 34,036,300× 34,109,619× 41,802,479× 41,637,889× 45,527,366× 55,701,779× 63,020,253× 59,755,565× 46,281,787× 34,997,593× 36,700,928× 37,127,175× 35,492,876× 37,932,851× 34,959,929× 36,495,045× 27,729,915× 26,233,755× 28,056,405× 25,137,031× 27,663,121× 33,132,315× 31,977,268× 30,578,849× 31,483,303× 30,399,706× 29,506,361× 24,197,758× 20,602,798× 21,497,712× 24,259,823× 24,912,357× 23,071,086× 19,485,935× 20,741,225× 16,985,827× 21,784,412× 25,076,943× 17,556,535× 18,780,143× 16,322,698× 15,456,637× 13,793,977× 14,121,786× 13,587,095× 12,853,844× 14,441,170× 14,847,096× 14,497,913× 15,342,024× 12,680,669× 15,400,355× 19,765,379× 18,705,511× 14,843,731× 12,831,979× 10,174,714× 10,457,831× 12,125,502× 14,244,150× 9,924,228× 11,597,849× 11,759,947× 11,666,377× 6,521,419× 9,368,932× 7,611,710× 5,511,349× 3,247,801× 3,320,330× 4,848,849× 5,094,226× 4,728,109× 5,253,037× 4,471,534× 3,394,483× 4,777,860× 4,521,957× 5,046,562× 4,611,977× 4,233,894× 2,845,706× 2,110,532× 3,464,553× 2,690,244× 2,547,831× 1,873,425× 963,275× 117,232× 233,432× 40,693× |