| 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 |
| Γ | Δ | Ε | Ζ | Η | Θ | Ι | Κ | Λ | Μ | Ν | Ξ | Ο | Π | Ρ | Σ |
| 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 |
|---|---|---|---|---|---|---|---|
| Average Steps Cycle Start | 0.99 step avg | 1.47 step avg | 16.27 step avg | 2.90 step avg | 18.09 step avg | 80.09 step avg | 19.68 step avg |
| Step Frequency Cycle Start | 0s: 1s: 1× 77× | 0s: 1s: 2s: 21× 1,578× 1,482× | 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× 1,637× 1,558× 3,114× 3,106× 3,094× 3,078× 3,058× 3,034× 3,006× 2,974× 2,938× 2,898× 2,854× 2,806× 2,754× 2,698× 2,638× 2,574× 2,506× 2,434× 2,358× 2,278× 2,194× 2,106× 2,014× 1,918× 1,818× 1,714× 1,606× 1,494× 1,378× 1,258× 1,134× 1,006× 874× 738× 598× 454× 306× 154× | 0s: 1s: 2s: 3s: 4s: 5s: 6s: 7s: 1× 100,397× 273,258× 1,093,716× 98,202× 86,269× 7,191× 4,706× | 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× 23,631× 28,292× 45,386× 99,194× 164,034× 285,180× 359,718× 529,154× 490,446× 902,420× 867,814× 1,301,150× 1,194,226× 1,684,192× 1,397,694× 1,796,586× 1,431,320× 1,908,708× 1,482,630× 1,801,286× 1,386,902× 1,504,654× 1,163,302× 1,212,072× 936,048× 889,770× 698,042× 572,430× 430,856× 329,580× 219,908× 107,112× 35,794× 4,958× 692× 154× | 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: 240s: 241s: 242s: 243s: 244s: 245s: 246s: 247s: 248s: 249s: 250s: 251s: 252s: 253s: 254s: 255s: 256s: 257s: 258s: 259s: 260s: 261s: 262s: 263s: 264s: 265s: 266s: 267s: 268s: 269s: 270s: 271s: 272s: 273s: 274s: 275s: 276s: 277s: 278s: 279s: 280s: 281s: 282s: 283s: 284s: 285s: 286s: 287s: 288s: 289s: 290s: 291s: 292s: 293s: 294s: 295s: 296s: 297s: 298s: 299s: 300s: 301s: 302s: 303s: 304s: 305s: 306s: 307s: 308s: 309s: 310s: 311s: 312s: 1× 1,123,798× 3,190,327× 2,910,822× 3,294,360× 4,067,671× 3,828,933× 3,838,388× 3,473,064× 3,564,952× 3,665,247× 4,301,532× 4,121,932× 3,895,566× 4,385,326× 3,802,438× 4,096,453× 3,783,369× 4,039,359× 4,233,795× 3,745,394× 4,624,781× 4,490,174× 4,267,319× 4,368,646× 4,470,534× 3,974,887× 4,401,314× 3,917,585× 3,768,058× 3,953,969× 4,068,918× 3,470,920× 3,251,397× 3,310,819× 3,046,776× 3,205,023× 2,881,660× 2,775,849× 2,867,129× 2,861,863× 2,710,392× 2,613,450× 2,584,672× 2,413,573× 2,348,549× 2,238,927× 2,598,992× 2,276,904× 2,281,259× 2,318,578× 2,299,491× 2,170,807× 2,656,240× 2,285,128× 2,362,245× 2,419,983× 2,503,002× 2,564,850× 2,234,737× 1,989,044× 2,220,107× 2,247,640× 2,272,628× 2,288,231× 2,503,502× 2,500,906× 2,202,064× 2,161,945× 2,405,620× 1,974,319× 2,062,995× 2,306,956× 2,080,319× 2,089,801× 2,206,521× 2,203,119× 2,262,363× 2,188,895× 1,832,044× 1,716,399× 1,643,312× 1,667,534× 1,350,164× 1,383,295× 1,483,848× 1,824,394× 1,541,505× 1,734,888× 1,560,112× 1,592,891× 1,944,375× 1,728,086× 1,520,722× 1,532,859× 1,409,449× 1,686,691× 1,763,194× 1,625,564× 1,907,889× 1,546,448× 1,915,338× 1,851,194× 1,430,277× 1,556,519× 1,428,596× 1,559,113× 1,451,253× 1,474,703× 1,372,782× 1,524,151× 1,251,853× 875,561× 606,287× 556,641× 449,037× 488,153× 637,936× 671,616× 645,390× 715,305× 754,105× 906,054× 1,015,635× 922,414× 895,215× 831,879× 840,851× 891,918× 764,023× 828,330× 849,301× 789,023× 984,487× 853,523× 799,950× 661,125× 408,635× 344,976× 307,960× 198,152× 232,172× 154,194× 94,472× 129,442× 105,435× 106,788× 137,342× 176,893× 246,624× 253,793× 229,919× 321,012× 391,222× 546,546× 518,825× 536,434× 619,190× 553,776× 592,743× 600,259× 602,076× 497,624× 500,870× 523,926× 370,691× 348,588× 415,388× 400,598× 313,767× 302,563× 319,878× 399,497× 475,155× 398,744× 424,562× 489,880× 372,805× 420,626× 437,488× 422,746× 456,403× 445,370× 384,195× 417,044× 441,903× 425,421× 555,382× 570,380× 580,130× 604,627× 548,337× 563,025× 679,963× 1,010,369× 849,971× 1,080,684× 955,641× 910,348× 798,520× 853,379× 851,296× 855,175× 948,067× 1,211,869× 1,009,318× 1,056,035× 1,090,874× 1,122,330× 792,555× 1,222,154× 1,022,835× 992,355× 850,560× 792,230× 593,467× 442,215× 458,315× 443,686× 532,006× 562,937× 492,586× 578,154× 331,781× 575,282× 491,928× 535,003× 429,226× 431,757× 593,935× 583,680× 581,023× 601,470× 623,498× 529,521× 428,694× 356,676× 411,225× 588,547× 404,090× 539,610× 463,924× 544,232× 571,100× 612,049× 340,633× 273,890× 236,893× 247,389× 314,664× 256,614× 213,277× 176,862× 133,506× 214,566× 119,698× 153,720× 176,690× 176,114× 216,522× 191,224× 220,289× 218,678× 224,895× 321,971× 282,699× 341,112× 305,818× 258,296× 324,022× 231,482× 238,607× 342,560× 376,632× 416,757× 162,116× 282,350× 273,498× 240,947× 155,756× 167,205× 266,850× 237,847× 158,354× 237,990× 54,570× 55,464× 58,410× 37,474× 34,762× 31,144× 30,004× 28,904× 37,620× 47,692× 75,940× 133,334× 110,106× 86,894× 93,393× 133,965× 182,609× 124,959× 57,552× 74,262× 48,258× 29,942× 12,576× 26,021× 50,298× 69,134× 14,047× 19,880× | 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× 666,097× 1,713,782× 4,909,064× 6,055,368× 10,579,248× 15,091,276× 22,203,078× 31,788,364× 46,931,080× 64,965,628× 84,415,860× 116,064,214× 156,802,508× 181,167,740× 206,282,952× 253,217,700× 284,863,282× 299,558,962× 328,352,480× 339,492,004× 329,951,870× 320,803,494× 314,211,326× 286,257,748× 238,419,572× 190,138,084× 154,066,614× 99,614,802× 63,777,856× 41,293,592× 20,190,726× 8,496,146× 5,047,964× 1,666,096× 228,922× 80,276× |