| 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 |
| Τ | Υ | Φ | Χ | Ψ | Ω | α | β | γ | δ | ε | ζ | η | θ | ι | κ |
| λ | μ | ν | ξ | ο | π | ρ | ς | σ | τ | υ | φ | χ | ψ | ω | А |
| 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 |
|---|---|---|---|---|---|---|
| Average Steps Full Cycle | 1.99 step avg | 53.51 step avg | 22.53 step avg | 28.33 step avg | 24.82 step avg | 277.72 step avg |
| Step Frequency Full Cycle | 0s: 1s: 2s: 0× 1× 105× | 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: 0× 1× 105× 0× 0× 0× 0× 0× 0× 0× 0× 0× 0× 0× 0× 0× 0× 0× 0× 0× 0× 0× 0× 0× 0× 0× 0× 0× 0× 0× 0× 0× 0× 0× 0× 0× 0× 0× 0× 0× 0× 0× 0× 0× 0× 0× 0× 0× 0× 0× 0× 0× 0× 27× 2,782× 2,756× | 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: 0× 1× 2,967× 2,860× 5,718× 5,710× 5,698× 5,682× 5,662× 5,638× 5,610× 5,578× 5,542× 5,502× 5,458× 5,410× 5,358× 5,302× 5,242× 5,178× 5,110× 5,038× 4,962× 4,882× 4,798× 4,710× 4,618× 4,522× 4,422× 4,318× 4,210× 4,098× 3,982× 3,862× 3,738× 3,610× 3,478× 3,342× 3,202× 3,058× 2,910× 2,758× 2,602× 2,442× 2,278× 2,110× 1,938× 1,762× 1,582× 1,398× 1,210× 1,018× 822× 622× 418× 210× | 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: 0× 1× 105× 0× 0× 0× 0× 0× 0× 0× 0× 0× 0× 0× 13,044× 38,410× 151,580× 10,281× 6,888× 0× 0× 0× 0× 0× 0× 0× 0× 326,256× 908,640× 3,637,920× 236,944× 210,077× 13,113× 9,992× | 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: 0× 1× 105× 8,478× 142,404× 321,882× 263,982× 398,558× 715,860× 937,478× 1,372,098× 1,471,926× 2,094,434× 1,785,676× 2,860,462× 2,154,250× 3,824,106× 2,519,360× 4,838,336× 3,222,752× 5,853,630× 4,157,134× 6,865,126× 5,160,404× 7,099,770× 5,467,398× 7,113,288× 5,122,756× 6,624,452× 4,618,860× 6,094,338× 4,154,424× 5,132,084× 3,741,384× 4,005,956× 2,950,522× 2,907,096× 2,011,858× 1,689,770× 1,134,300× 763,438× 453,568× 218,950× 86,590× 29,878× 2,400× | 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: 313s: 314s: 315s: 316s: 317s: 318s: 319s: 320s: 321s: 322s: 323s: 324s: 325s: 326s: 327s: 328s: 329s: 330s: 331s: 332s: 333s: 334s: 335s: 336s: 337s: 338s: 339s: 340s: 341s: 342s: 343s: 344s: 345s: 346s: 347s: 348s: 349s: 350s: 351s: 352s: 353s: 354s: 355s: 356s: 357s: 358s: 359s: 360s: 361s: 362s: 363s: 364s: 365s: 366s: 367s: 368s: 369s: 370s: 371s: 372s: 373s: 374s: 375s: 376s: 377s: 378s: 379s: 380s: 381s: 382s: 383s: 384s: 385s: 386s: 387s: 388s: 389s: 390s: 391s: 392s: 393s: 394s: 395s: 396s: 397s: 398s: 399s: 400s: 401s: 402s: 403s: 404s: 405s: 406s: 407s: 408s: 409s: 410s: 411s: 412s: 413s: 414s: 415s: 416s: 417s: 418s: 419s: 420s: 421s: 422s: 423s: 424s: 425s: 426s: 427s: 428s: 429s: 430s: 431s: 432s: 433s: 434s: 435s: 436s: 437s: 438s: 439s: 440s: 441s: 442s: 443s: 444s: 445s: 446s: 447s: 448s: 449s: 450s: 451s: 452s: 453s: 454s: 455s: 456s: 457s: 458s: 459s: 460s: 461s: 462s: 463s: 464s: 465s: 466s: 467s: 468s: 469s: 470s: 471s: 472s: 473s: 474s: 475s: 476s: 477s: 478s: 479s: 480s: 481s: 482s: 483s: 484s: 485s: 486s: 487s: 488s: 489s: 490s: 491s: 492s: 493s: 494s: 495s: 496s: 497s: 498s: 499s: 500s: 501s: 502s: 503s: 504s: 505s: 506s: 507s: 508s: 509s: 510s: 511s: 512s: 513s: 514s: 515s: 516s: 517s: 518s: 519s: 520s: 521s: 522s: 523s: 524s: 525s: 526s: 527s: 528s: 529s: 530s: 531s: 532s: 533s: 534s: 0× 1× 2,967× 0× 0× 0× 82,816× 138,274× 208,360× 300,356× 354,986× 117,462× 188,806× 239,764× 158,072× 224,282× 109,614× 66,110× 120,508× 223,590× 225,366× 355,604× 788,734× 646,087× 567,213× 633,230× 874,965× 896,213× 1,567,253× 1,987,766× 1,792,063× 1,852,455× 2,474,605× 2,845,123× 2,425,095× 2,386,200× 2,437,520× 2,280,012× 2,255,927× 1,826,246× 1,686,194× 1,499,029× 1,627,107× 1,353,545× 1,261,728× 1,526,714× 943,324× 969,580× 903,071× 706,461× 1,253,688× 1,131,971× 1,095,295× 1,487,347× 1,061,535× 901,466× 815,486× 982,731× 464,692× 620,432× 490,522× 668,234× 571,414× 799,250× 400,312× 152,292× 194,716× 220,446× 363,478× 461,604× 472,412× 458,230× 638,960× 565,496× 578,944× 746,110× 839,463× 668,397× 519,125× 456,290× 464,937× 543,616× 560,989× 483,984× 552,515× 848,276× 832,879× 773,910× 790,284× 312,937× 328,702× 442,664× 435,056× 575,526× 547,932× 817,903× 1,028,333× 807,919× 953,660× 1,295,265× 1,667,054× 1,729,386× 1,641,772× 1,464,627× 1,446,124× 1,666,894× 2,156,979× 1,939,868× 2,952,479× 4,870,117× 3,850,665× 3,199,343× 3,539,418× 4,439,477× 4,603,899× 4,318,309× 4,094,304× 3,292,396× 3,026,328× 2,625,173× 3,483,208× 3,790,871× 3,755,014× 3,365,153× 3,161,572× 2,847,109× 2,724,027× 2,973,936× 3,142,286× 4,147,240× 4,037,517× 3,944,376× 3,762,556× 3,772,371× 3,960,623× 3,222,516× 3,099,858× 2,724,586× 3,119,264× 2,988,117× 3,115,121× 2,472,446× 2,466,402× 3,628,621× 4,702,292× 4,936,189× 4,649,536× 3,789,329× 2,924,240× 3,422,598× 3,926,653× 3,327,561× 3,009,246× 4,437,486× 7,579,007× 6,404,304× 6,844,232× 7,776,362× 7,713,156× 7,622,763× 7,871,061× 7,810,720× 6,973,429× 5,892,071× 5,828,744× 6,984,278× 7,311,922× 5,886,871× 5,129,556× 4,535,973× 4,562,970× 4,969,695× 5,138,649× 5,194,574× 5,558,552× 4,717,581× 4,755,134× 5,655,438× 5,138,926× 5,038,467× 5,113,505× 5,646,253× 7,236,229× 6,409,811× 5,745,651× 4,815,523× 4,900,140× 5,032,313× 5,032,958× 5,742,476× 5,514,868× 6,561,874× 5,849,874× 6,033,456× 5,524,904× 5,155,096× 4,937,389× 4,300,225× 4,286,593× 4,717,984× 4,310,720× 4,262,599× 3,654,274× 4,242,183× 3,984,427× 4,000,036× 4,078,034× 3,632,524× 3,361,525× 3,262,637× 3,062,286× 2,951,077× 3,245,460× 3,510,468× 3,262,377× 3,010,038× 2,995,345× 3,195,765× 2,784,109× 2,833,068× 2,747,396× 2,605,623× 2,866,434× 3,274,935× 3,160,636× 2,884,051× 2,616,624× 3,631,158× 2,987,890× 3,171,073× 3,714,402× 3,169,339× 3,608,071× 3,124,003× 2,803,090× 3,029,130× 3,598,991× 3,593,436× 3,328,501× 2,968,953× 2,564,839× 2,341,535× 2,071,540× 2,235,720× 2,567,375× 2,972,814× 2,425,419× 1,999,213× 2,237,152× 2,030,200× 2,601,859× 2,781,301× 2,421,859× 2,151,145× 5,114,739× 9,706,567× 9,164,086× 11,286,276× 12,223,905× 11,690,150× 12,043,872× 11,553,692× 11,583,017× 12,195,561× 13,474,376× 12,768,332× 13,823,410× 14,350,640× 13,581,785× 13,958,421× 13,931,352× 13,837,822× 14,248,875× 13,134,732× 14,595,275× 14,255,979× 13,645,075× 15,508,356× 16,448,100× 15,494,708× 15,723,151× 16,218,009× 15,647,519× 14,488,278× 14,286,244× 13,176,042× 13,567,787× 13,077,343× 13,633,180× 13,584,537× 13,118,367× 12,529,182× 13,701,988× 12,341,958× 11,289,179× 11,023,050× 11,013,906× 10,994,813× 9,731,568× 9,414,477× 10,296,128× 10,701,628× 11,402,424× 11,104,941× 10,859,606× 12,348,363× 12,046,618× 12,588,954× 12,235,610× 12,143,139× 12,609,224× 11,479,042× 10,915,720× 10,539,234× 10,513,734× 10,913,897× 10,569,724× 10,869,647× 11,640,610× 11,393,822× 9,150,450× 8,315,415× 8,241,756× 8,383,808× 8,316,829× 8,036,351× 8,377,535× 8,545,145× 8,149,475× 7,463,216× 6,884,001× 8,169,186× 8,675,810× 9,897,537× 10,338,458× 10,422,134× 10,132,860× 10,182,698× 9,904,643× 10,198,454× 10,178,067× 10,314,405× 9,140,969× 9,733,028× 9,811,904× 8,191,028× 8,209,974× 9,840,232× 10,231,585× 9,435,003× 8,144,081× 8,324,849× 8,378,236× 7,890,741× 7,490,752× 8,131,803× 7,019,862× 6,304,655× 5,939,398× 6,120,955× 5,987,082× 6,650,511× 6,666,934× 6,878,661× 6,487,115× 6,911,691× 6,088,939× 6,149,331× 6,436,362× 5,136,385× 5,711,316× 6,832,715× 6,670,539× 7,264,047× 6,950,539× 5,756,964× 5,711,644× 5,804,454× 6,358,961× 6,278,882× 7,047,381× 6,009,500× 5,213,589× 4,834,086× 4,451,966× 3,599,029× 3,954,735× 4,997,490× 4,806,280× 4,625,962× 4,518,453× 4,673,070× 4,005,222× 4,671,064× 4,209,291× 4,690,779× 4,240,247× 3,534,936× 3,348,459× 3,655,176× 3,470,809× 3,354,535× 3,189,854× 2,554,923× 3,730,405× 3,646,604× 3,695,179× 2,974,315× 2,683,604× 2,733,115× 3,112,447× 3,356,847× 3,179,693× 3,228,911× 3,456,729× 3,317,555× 3,292,461× 3,636,790× 3,491,967× 3,307,091× 3,232,734× 2,936,949× 2,512,175× 2,195,827× 2,132,503× 1,864,436× 1,698,444× 1,856,440× 2,224,763× 1,936,906× 2,039,725× 1,983,394× 2,090,043× 1,863,256× 1,552,503× 1,752,476× 1,330,124× 1,418,030× 1,914,282× 1,461,593× 1,569,458× 2,373,435× 1,704,206× 1,959,746× 2,452,677× 2,440,884× 2,482,216× 2,451,866× 2,355,204× 1,714,804× 1,498,455× 1,279,406× 1,108,093× 835,324× 718,117× 745,724× 830,014× 893,356× 803,740× 877,486× 395,274× 501,824× 483,029× 529,136× 788,587× 1,073,625× 649,660× 331,540× 619,554× 900,960× 1,193,400× 1,315,298× 1,348,184× 1,210,180× 1,261,166× 1,085,497× 1,302,137× 1,463,156× 1,491,049× 1,295,958× 1,804,075× 1,890,010× 1,447,229× 1,196,522× 1,112,119× 1,131,544× 1,075,820× 963,030× 816,207× 715,622× 718,608× 785,084× 1,392,953× 1,322,287× 1,187,362× 887,814× 867,842× 625,856× 736,255× 483,411× 445,820× 225,092× 293,920× 582,951× 660,472× 899,573× 787,964× 396,039× 641,952× 664,059× 355,802× 501,828× 676,666× 799,660× 788,689× 628,818× 592,432× 456,604× 387,789× 315,962× 318,222× 101,466× 178,498× 219,700× 75,516× 69,172× 92,784× 79,566× 66,844× 109,572× 186,528× 173,247× 210,396× 135,648× 92,802× |