| 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 |
| 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 | 9 |
|---|---|---|---|---|---|---|---|---|---|
| Average Steps Cycle Start | 0.98 step avg | 1.46 step avg | 10.24 step avg | 3.06 step avg | 10.21 step avg | 63.87 step avg | 14.98 step avg | 47.81 step avg | 19.54 step avg |
| Step Frequency Cycle Start | 0s: 1s: 1× 45× | 0s: 1s: 2s: 13× 562× 506× | 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: 1× 597× 550× 1,098× 1,090× 1,078× 1,062× 1,042× 1,018× 990× 958× 922× 882× 838× 790× 738× 682× 622× 558× 490× 418× 342× 262× 178× 90× | 0s: 1s: 2s: 3s: 4s: 5s: 6s: 7s: 1× 12,365× 31,570× 126,500× 19,890× 17,273× 2,583× 1,694× | 0s: 1s: 2s: 3s: 4s: 5s: 6s: 7s: 8s: 9s: 10s: 11s: 12s: 13s: 14s: 15s: 16s: 17s: 18s: 19s: 20s: 21s: 1× 29,997× 35,048× 26,810× 62,692× 81,438× 112,988× 153,888× 186,260× 195,100× 218,608× 213,908× 194,678× 193,714× 122,198× 125,160× 72,438× 51,942× 29,904× 10,534× 1,364× 90× | 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: 1× 63,122× 181,783× 179,133× 175,373× 211,396× 197,621× 165,514× 126,566× 147,979× 130,702× 135,092× 119,134× 121,446× 133,480× 145,182× 150,941× 196,346× 188,315× 209,361× 173,617× 172,712× 189,880× 155,400× 173,484× 163,174× 134,695× 130,450× 173,521× 179,993× 150,376× 155,369× 163,241× 150,672× 106,160× 115,253× 93,530× 100,367× 83,657× 101,053× 118,072× 101,772× 123,293× 132,626× 111,109× 94,927× 149,458× 84,326× 130,475× 145,417× 198,400× 194,566× 201,716× 197,821× 165,979× 158,895× 195,977× 208,894× 188,965× 191,451× 264,513× 257,508× 252,840× 249,194× 232,095× 182,655× 175,242× 187,795× 157,705× 128,810× 172,237× 138,762× 98,907× 134,022× 145,598× 159,691× 152,725× 119,895× 120,232× 94,378× 91,645× 129,680× 82,660× 68,623× 69,333× 95,288× 110,966× 88,751× 79,229× 125,637× 100,309× 141,173× 158,470× 107,665× 81,118× 73,873× 88,922× 86,081× 76,551× 66,519× 62,224× 48,185× 59,190× 63,782× 56,523× 41,415× 46,312× 64,181× 59,045× 68,100× 60,370× 86,718× 39,265× 57,597× 39,716× 55,463× 64,292× 95,346× 80,145× 62,823× 78,173× 38,184× 64,534× 47,987× 55,502× 61,786× 51,405× 63,325× 75,549× 64,626× 101,505× 97,306× 64,965× 80,044× 83,426× 67,205× 67,139× 112,012× 109,862× 123,973× 103,890× 131,521× 127,966× 124,170× 118,198× 44,912× 35,266× 45,522× 22,334× 23,194× 10,012× 13,578× 6,162× 13,099× 14,661× 20,008× 24,702× 19,184× 15,154× 20,782× 21,824× 32,986× 12,758× 1,850× | 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: 1× 87,753× 235,454× 465,860× 740,904× 1,019,514× 1,570,820× 2,494,374× 3,276,076× 4,647,004× 6,147,476× 7,127,800× 7,577,732× 8,420,134× 9,711,720× 11,874,910× 13,495,976× 15,021,564× 12,997,070× 11,129,604× 7,613,214× 4,859,518× 1,845,106× 759,284× 424,798× 153,638× 58,116× 22,468× 6,672× | 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: 1× 1,545,253× 7,335,502× 7,733,939× 10,008,095× 11,069,857× 11,279,085× 11,324,568× 11,264,980× 11,958,280× 12,545,087× 11,220,355× 10,974,042× 11,358,491× 12,103,634× 12,408,354× 12,341,013× 11,310,079× 11,826,974× 12,443,273× 12,025,039× 12,352,422× 12,581,794× 13,135,741× 13,197,128× 11,694,785× 12,710,209× 12,590,213× 10,383,919× 10,538,552× 11,615,297× 10,786,333× 10,771,593× 10,219,192× 11,322,228× 13,152,867× 14,556,079× 13,981,712× 14,086,711× 11,605,449× 10,314,172× 10,099,295× 10,437,817× 11,097,717× 9,999,573× 8,862,724× 7,972,187× 7,726,891× 7,354,809× 8,132,078× 6,928,900× 6,196,497× 6,197,610× 6,798,737× 6,331,159× 5,651,851× 6,386,402× 5,888,643× 5,917,240× 5,460,164× 5,687,964× 5,550,586× 5,980,499× 6,365,261× 6,370,769× 5,800,117× 5,535,616× 5,909,426× 6,057,250× 6,121,642× 4,888,659× 3,899,835× 4,334,430× 4,655,989× 5,133,942× 4,969,714× 4,915,116× 4,613,634× 5,343,170× 6,021,310× 5,151,091× 5,347,801× 6,244,719× 5,821,216× 5,734,954× 5,654,983× 5,230,141× 5,135,601× 5,623,889× 5,702,385× 4,803,651× 4,780,536× 4,822,101× 4,783,615× 4,123,773× 4,098,975× 4,210,976× 4,064,872× 3,183,315× 3,677,568× 3,619,419× 3,859,111× 4,361,774× 4,202,791× 3,831,819× 3,134,796× 2,503,319× 2,239,440× 2,759,309× 2,823,098× 2,911,869× 2,842,289× 2,801,204× 2,921,676× 3,146,592× 1,892,994× 1,611,186× 1,152,499× 1,197,084× 1,200,383× 1,238,583× 1,129,462× 1,185,151× 1,186,638× 1,070,677× 607,340× 785,570× 798,704× 920,640× 796,111× 831,510× 718,336× 916,379× 1,079,512× 1,341,772× 1,221,070× 1,054,116× 1,047,329× 898,036× 1,021,961× 782,991× 593,855× 548,372× 503,809× 373,306× 571,270× 590,709× 219,263× 227,597× 360,867× 191,612× 97,950× 93,554× 164,606× 282,528× 121,931× 75,562× 51,000× 60,617× 26,335× 11,237× 14,196× 25,800× 5,597× 2,915× | 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: 1× 1,804,593× 8,593,992× 19,745,038× 37,790,656× 64,931,082× 94,194,882× 139,901,522× 152,245,168× 174,839,358× 177,036,556× 164,013,902× 189,811,472× 192,867,106× 245,405,576× 273,879,318× 294,463,856× 304,105,102× 290,845,532× 251,480,154× 187,122,252× 143,067,084× 99,133,768× 87,667,900× 92,098,978× 150,599,680× 161,682,992× 152,628,314× 146,654,234× 105,884,576× 104,916,464× 97,323,690× 131,296,108× 120,929,152× 139,719,900× 119,062,526× 79,038,048× 55,210,054× 21,622,544× 12,183,534× 6,673,112× 6,806,144× 8,110,288× 5,182,964× 4,398,878× 922,722× 24,558× 20,930× |