| 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 | 2.19 step avg | 11.81 step avg | 1.82 step avg | 14.46 step avg | 72.68 step avg | 15.97 step avg | 72.17 step avg |
| Step Frequency Cycle Start | 0s: 1s: 1× 56× | 0s: 1s: 2s: 3s: 8× 455× 406× 784× | 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: 1× 1,737× 837× 1,672× 1,662× 1,648× 1,630× 1,608× 1,582× 1,552× 1,518× 1,480× 1,438× 1,392× 1,342× 1,288× 1,230× 1,168× 1,102× 1,032× 958× 880× 798× 712× 622× 528× 430× 328× 222× 112× | 0s: 1s: 2s: 3s: 4s: 1× 116,984× 344,694× 25,116× 840× | 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× 7,656× 11,689× 19,066× 42,186× 68,932× 121,184× 150,516× 223,940× 230,709× 357,335× 414,553× 497,977× 389,988× 508,780× 434,045× 461,568× 395,131× 378,103× 297,967× 276,990× 212,066× 175,668× 127,988× 83,277× 43,498× 15,704× 2,630× | 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: 1× 29,540× 80,255× 201,289× 156,633× 218,819× 232,074× 247,074× 308,268× 324,651× 301,538× 303,883× 277,804× 344,546× 237,996× 329,593× 299,582× 283,049× 334,541× 260,931× 307,791× 307,099× 461,890× 496,508× 437,696× 662,145× 587,742× 502,837× 536,802× 517,765× 435,842× 506,456× 578,549× 469,145× 429,111× 400,896× 326,103× 386,426× 478,918× 410,495× 415,677× 507,784× 483,691× 440,985× 510,863× 535,184× 568,577× 661,498× 389,050× 457,101× 477,331× 485,141× 450,931× 378,542× 421,002× 511,776× 512,928× 501,684× 496,050× 574,094× 599,125× 555,119× 652,709× 621,406× 637,570× 568,189× 545,995× 601,345× 447,804× 519,775× 459,328× 435,341× 301,746× 406,582× 422,126× 408,584× 488,327× 519,545× 688,133× 593,194× 570,901× 453,573× 437,613× 340,162× 519,474× 467,983× 448,181× 394,185× 379,856× 375,212× 406,804× 280,177× 341,339× 331,710× 436,707× 591,340× 714,835× 713,899× 812,256× 608,573× 501,889× 419,179× 493,856× 444,549× 478,757× 422,689× 468,113× 578,468× 615,250× 512,970× 566,937× 578,542× 529,449× 355,990× 411,700× 491,049× 640,778× 564,732× 553,575× 604,500× 775,198× 669,577× 462,150× 456,493× 555,539× 483,115× 395,923× 252,056× 240,557× 197,633× 191,911× 188,080× 278,628× 280,955× 344,402× 368,083× 325,916× 229,222× 230,249× 189,070× 72,390× 51,083× 51,535× 47,096× 12,533× 3,258× | 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: 1× 398,468× 905,152× 2,105,309× 4,385,205× 7,870,856× 10,580,133× 13,842,495× 17,731,750× 22,280,275× 26,296,010× 32,514,861× 37,997,822× 38,750,834× 39,092,273× 36,927,691× 35,825,878× 27,022,165× 21,199,518× 18,510,659× 19,052,466× 19,143,828× 20,456,378× 18,744,104× 18,826,644× 14,151,764× 14,046,281× 11,388,517× 8,407,387× 6,214,375× 4,423,814× 2,732,385× 782,745× 496,329× 154,321× 9,354× 2,624× | 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: 1× 1,276,209× 4,922,127× 26,429,138× 47,494,460× 89,927,712× 86,271,427× 81,685,166× 83,618,379× 78,702,939× 69,313,699× 89,006,361× 83,405,998× 71,345,244× 63,276,066× 69,543,406× 67,067,867× 82,471,430× 70,195,877× 64,543,821× 59,056,205× 66,152,766× 67,388,873× 63,018,369× 60,758,960× 66,185,579× 57,585,567× 42,549,406× 41,470,500× 38,401,232× 36,678,662× 34,852,111× 30,520,115× 29,838,451× 25,753,467× 21,634,178× 15,556,815× 15,368,941× 14,161,750× 9,759,068× 11,107,790× 8,159,940× 5,104,428× 2,738,257× 2,295,882× 2,934,353× 2,611,870× 6,054,729× 7,905,818× 10,883,967× 6,690,594× 7,009,447× 7,836,266× 8,377,820× 6,571,371× 5,928,605× 8,107,593× 8,082,509× 8,760,631× 8,316,205× 8,182,807× 10,128,642× 10,623,537× 12,129,618× 19,408,789× 22,787,756× 22,191,570× 27,601,749× 28,119,609× 19,282,921× 24,153,954× 16,524,818× 14,529,662× 18,478,561× 17,986,891× 17,035,289× 26,609,047× 26,612,548× 29,800,718× 26,748,090× 20,609,493× 20,765,307× 18,271,932× 18,146,866× 11,722,695× 9,991,097× 11,646,930× 16,360,345× 20,257,765× 20,425,438× 19,777,321× 26,097,200× 19,518,040× 18,977,588× 14,541,128× 14,169,576× 16,499,147× 16,027,775× 14,608,239× 14,782,960× 14,418,003× 18,434,897× 16,806,155× 13,547,546× 14,368,671× 12,234,128× 9,550,346× 8,490,894× 8,947,352× 9,437,259× 7,934,343× 9,278,788× 9,460,234× 13,643,269× 8,596,512× 10,117,581× 14,487,350× 18,870,573× 14,318,913× 15,223,311× 18,724,902× 16,028,378× 18,659,664× 20,211,728× 24,363,967× 25,942,103× 32,398,283× 24,982,987× 24,347,352× 27,443,652× 30,886,700× 30,168,537× 28,271,074× 35,345,110× 28,485,206× 31,933,760× 38,395,714× 39,827,048× 37,659,249× 29,366,961× 31,012,750× 30,758,473× 28,523,707× 33,566,953× 36,485,484× 28,810,660× 30,048,607× 26,708,855× 24,938,010× 26,153,441× 21,103,391× 12,515,017× 10,868,820× 12,225,772× 8,889,895× 11,779,673× 11,550,926× 6,440,411× 3,179,559× 3,432,053× 2,067,810× 4,099,054× 4,893,506× 3,873,206× 3,231,011× 4,175,493× 7,259,903× 8,439,782× 7,889,250× 5,410,053× 3,918,147× 5,685,131× 4,977,683× 4,844,959× 4,987,356× 4,044,296× 4,612,309× 6,545,953× 5,080,688× 6,144,633× 3,440,985× 2,060,771× 4,104,012× 8,650,019× 2,824,784× 2,754,518× 1,892,324× 3,008,849× 4,513,607× 7,361,936× 3,508,276× 4,166,386× 6,055,734× 2,737,044× 2,802,402× 2,890,951× 3,423,190× 5,981,262× 6,235,385× 5,514,376× 4,135,736× 4,359,688× 2,214,705× 2,546,199× 4,326,070× 7,000,516× 11,848,560× 12,358,261× 12,613,135× 12,549,524× 8,026,693× 5,135,990× 5,565,534× 4,240,689× 2,954,474× 3,866,622× 3,055,522× 4,029,323× 2,836,911× 3,450,852× 1,072,859× 1,446,879× 526,724× 380,519× 117,090× 48,546× 334,142× 697,769× 1,247,517× 185,522× 467,176× 857,813× 142,342× 17,640× |