| 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 | 12.57 step avg | 1.81 step avg | 13.03 step avg | 48.88 step avg | 16.47 step avg | 88.10 step avg |
| Step Frequency Cycle Start | 0s: 1s: 1× 60× | 0s: 1s: 2s: 3s: 9× 517× 465× 900× | 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× 1,981× 957× 1,912× 1,902× 1,888× 1,870× 1,848× 1,822× 1,792× 1,758× 1,720× 1,678× 1,632× 1,582× 1,528× 1,470× 1,408× 1,342× 1,272× 1,198× 1,120× 1,038× 952× 862× 768× 670× 568× 462× 352× 238× 120× | 0s: 1s: 2s: 3s: 4s: 1× 152,890× 450,895× 30,630× 960× | 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: 1× 64,454× 69,981× 58,375× 134,692× 169,553× 253,973× 281,638× 410,513× 468,843× 523,419× 581,925× 588,298× 671,434× 686,393× 717,945× 577,309× 606,789× 366,407× 383,780× 240,974× 179,692× 121,201× 68,075× 27,729× 6,495× | 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: 1× 297,999× 905,293× 2,242,100× 1,465,051× 984,399× 943,069× 1,216,439× 1,571,554× 1,415,544× 1,210,606× 1,222,323× 1,331,639× 1,028,351× 1,180,700× 1,215,930× 972,699× 809,005× 936,414× 667,828× 757,127× 798,117× 802,473× 877,205× 782,616× 679,737× 815,497× 943,358× 1,008,348× 1,008,333× 1,121,766× 1,153,950× 985,740× 1,065,386× 1,079,245× 949,481× 1,051,151× 1,039,655× 943,071× 860,582× 640,995× 554,736× 708,105× 778,535× 811,377× 968,142× 1,051,418× 1,024,213× 958,725× 897,297× 828,094× 797,515× 806,287× 911,962× 930,380× 1,026,230× 1,015,472× 892,185× 1,065,558× 1,029,574× 883,043× 770,780× 950,506× 987,121× 809,539× 731,442× 442,163× 640,349× 804,406× 542,825× 539,172× 622,556× 629,494× 621,168× 502,509× 532,587× 471,902× 517,816× 463,800× 582,799× 592,695× 535,330× 531,937× 470,457× 582,251× 723,721× 677,774× 597,851× 566,458× 594,754× 541,197× 516,754× 704,517× 867,698× 742,949× 718,198× 824,738× 854,540× 812,724× 803,488× 654,866× 654,994× 691,976× 546,010× 514,462× 471,821× 320,405× 316,535× 349,570× 289,360× 193,737× 164,886× 182,180× 217,763× 126,654× 176,381× 110,554× 111,023× 127,682× 57,494× 31,769× 25,667× 44,046× 17,265× 12,604× 25,862× 50,351× 26,591× 3,670× | 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× 516,840× 1,171,016× 2,801,837× 6,002,396× 10,242,103× 14,746,545× 18,245,679× 26,151,978× 32,542,931× 39,505,816× 48,197,074× 52,338,217× 54,450,321× 57,498,082× 55,031,617× 57,432,715× 49,035,582× 41,796,461× 36,628,704× 35,694,094× 30,949,923× 31,511,019× 27,246,820× 27,193,715× 24,358,610× 22,238,549× 21,224,185× 16,159,266× 10,724,982× 7,013,574× 5,010,809× 2,610,805× 2,336,302× 589,480× 424,251× 25,909× | 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: 1× 4,301,992× 19,429,392× 84,725,567× 113,277,788× 107,692,110× 97,094,376× 102,273,002× 113,166,488× 102,466,812× 93,921,200× 80,395,036× 74,930,267× 64,942,611× 62,778,236× 58,062,590× 61,821,955× 52,283,651× 40,583,465× 38,822,521× 43,644,055× 47,216,657× 41,817,389× 32,601,050× 34,534,654× 35,265,864× 32,278,229× 22,446,778× 18,880,412× 25,564,454× 24,063,658× 29,948,064× 29,763,869× 27,473,369× 27,547,674× 26,459,523× 19,835,137× 19,205,082× 24,672,495× 26,620,283× 28,644,346× 31,674,674× 19,645,795× 18,185,560× 20,369,988× 26,982,695× 27,389,718× 31,968,049× 30,388,805× 33,660,719× 27,315,155× 26,836,230× 27,198,626× 32,248,359× 32,191,101× 29,489,746× 33,004,515× 29,957,324× 24,632,106× 25,970,949× 31,120,375× 36,694,492× 40,542,975× 30,511,782× 23,217,395× 29,103,255× 28,929,256× 29,211,103× 31,815,067× 31,450,807× 34,270,822× 38,350,044× 31,310,243× 31,049,801× 30,202,573× 29,703,768× 29,889,817× 29,963,451× 34,632,582× 29,210,966× 30,263,988× 39,559,932× 41,562,523× 42,288,550× 51,779,237× 52,107,035× 46,050,400× 48,710,715× 46,601,109× 51,968,616× 58,138,866× 53,340,956× 55,143,952× 44,396,570× 36,876,384× 43,176,798× 46,348,987× 52,882,638× 42,354,428× 45,014,144× 45,445,274× 47,298,692× 52,523,824× 56,259,344× 50,397,933× 45,786,530× 42,734,430× 47,543,582× 38,140,273× 36,976,346× 31,950,629× 34,326,288× 44,524,600× 40,741,593× 56,464,138× 61,616,778× 49,140,269× 54,411,024× 52,659,171× 51,063,008× 47,973,519× 44,593,816× 43,898,110× 31,025,095× 27,723,648× 27,337,624× 32,538,365× 30,928,698× 25,650,956× 33,374,340× 33,638,945× 28,126,968× 28,635,689× 30,471,457× 35,547,045× 51,896,123× 64,277,820× 60,583,929× 51,967,124× 41,642,665× 52,813,645× 47,401,364× 42,821,012× 57,463,476× 60,060,427× 46,932,937× 46,086,761× 41,029,267× 41,889,402× 50,942,397× 46,004,626× 32,976,230× 35,547,859× 34,731,637× 38,368,264× 35,412,964× 28,773,194× 31,060,349× 32,523,271× 40,928,400× 32,531,945× 26,187,569× 27,583,653× 30,556,275× 31,440,297× 34,852,729× 23,589,396× 34,510,591× 35,853,060× 25,140,303× 22,444,049× 14,811,822× 19,128,682× 20,998,734× 16,292,651× 9,586,170× 8,547,220× 9,734,168× 11,233,712× 6,661,209× 7,048,476× 7,423,170× 7,076,070× 4,856,603× 4,098,202× 3,662,703× 4,661,628× 4,611,336× 4,017,926× 3,860,677× 4,171,050× 2,967,608× 6,574,148× 8,908,491× 13,432,842× 6,306,312× 10,279,735× 6,924,714× 9,872,220× 9,294,594× 10,698,533× 14,444,162× 11,719,095× 12,147,627× 10,801,412× 12,020,120× 5,398,320× 4,137,978× 3,481,414× 3,567,317× 6,550,392× 6,019,422× 5,278,619× 5,165,961× 6,751,901× 9,783,657× 7,243,135× 5,465,999× 4,108,189× 4,539,449× 6,905,079× 6,917,613× 4,966,774× 2,338,790× 3,426,727× 2,909,177× 804,406× 275,268× 627,443× 1,440,261× 651,628× 644,507× 617,152× 2,300,545× 212,034× 5,160× |