| 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 |
| 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 Full Cycle | 1.99 step avg | 12.25 step avg | 19.15 step avg | 11.14 step avg | 21.47 step avg | 406.74 step avg | 32.53 step avg |
| Step Frequency Full Cycle | 0s: 1s: 2s: 0× 1× 87× | 0s: 1s: 2s: 3s: 4s: 5s: 6s: 7s: 8s: 9s: 10s: 11s: 12s: 13s: 0× 1× 87× 0× 0× 0× 0× 0× 0× 0× 0× 22× 1,914× 1,892× | 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: 0× 1× 2,067× 1,978× 3,954× 3,946× 3,934× 3,918× 3,898× 3,874× 3,846× 3,814× 3,778× 3,738× 3,694× 3,646× 3,594× 3,538× 3,478× 3,414× 3,346× 3,274× 3,198× 3,118× 3,034× 2,946× 2,854× 2,758× 2,658× 2,554× 2,446× 2,334× 2,218× 2,098× 1,974× 1,846× 1,714× 1,578× 1,438× 1,294× 1,146× 994× 838× 678× 514× 346× 174× | 0s: 1s: 2s: 3s: 4s: 5s: 6s: 7s: 8s: 9s: 10s: 11s: 12s: 13s: 14s: 15s: 16s: 17s: 18s: 0× 1× 87× 0× 0× 0× 9,280× 20,080× 80,960× 323,840× 1,295,360× 109,696× 98,544× 187,332× 354,214× 36,304× 23,972× 44,656× 88,344× | 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: 0× 1× 87× 5,850× 82,626× 190,494× 160,608× 237,152× 428,202× 558,272× 822,084× 874,242× 1,254,362× 1,055,338× 1,729,864× 1,304,694× 2,318,780× 1,730,154× 2,900,742× 2,212,010× 3,233,732× 2,640,332× 3,497,170× 2,531,442× 3,200,346× 2,267,480× 2,881,552× 1,988,152× 2,309,394× 1,611,622× 1,614,634× 1,116,786× 958,646× 639,038× 419,840× 241,708× 110,708× 37,460× 11,524× | 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: 535s: 536s: 537s: 538s: 539s: 540s: 541s: 542s: 543s: 544s: 545s: 546s: 547s: 548s: 549s: 550s: 551s: 552s: 553s: 554s: 555s: 556s: 557s: 558s: 559s: 560s: 561s: 562s: 563s: 564s: 565s: 566s: 567s: 568s: 569s: 570s: 571s: 572s: 573s: 574s: 575s: 576s: 577s: 578s: 579s: 580s: 581s: 582s: 583s: 584s: 585s: 586s: 587s: 588s: 0× 1× 2,067× 0× 0× 0× 0× 0× 0× 0× 0× 0× 197,952× 750,164× 669,228× 240,502× 300,251× 291,958× 359,480× 269,078× 280,020× 289,138× 268,218× 386,700× 410,226× 486,293× 548,466× 474,940× 223,241× 186,728× 93,416× 75,240× 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× 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× 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× 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× 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× 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× 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× 2,842,735× 7,039,144× 6,678,457× 7,379,508× 11,259,708× 12,342,986× 13,876,116× 14,547,389× 13,676,438× 13,884,660× 13,607,598× 12,664,112× 12,110,879× 11,930,425× 11,791,983× 11,496,401× 11,000,833× 10,812,832× 11,103,158× 12,112,354× 11,268,240× 12,205,940× 10,972,042× 11,572,415× 10,737,500× 11,017,585× 11,620,332× 12,736,219× 12,546,200× 12,067,852× 10,785,345× 9,351,009× 10,413,811× 9,690,348× 9,045,924× 7,548,030× 7,603,011× 6,614,106× 6,821,166× 6,730,037× 6,673,627× 6,777,373× 6,377,710× 7,083,762× 7,019,925× 7,561,532× 6,606,281× 6,441,483× 6,663,080× 6,379,559× 6,605,446× 6,765,746× 6,254,127× 6,624,974× 6,534,761× 4,983,330× 4,123,304× 4,574,707× 3,655,512× 3,610,621× 3,297,564× 2,794,946× 3,262,500× 3,359,185× 3,453,246× 3,968,542× 4,457,540× 4,223,974× 4,653,691× 4,614,469× 4,127,963× 4,274,751× 4,392,455× 4,088,287× 3,806,996× 3,625,667× 4,135,424× 4,443,287× 3,666,416× 3,048,074× 3,151,235× 2,753,271× 2,621,640× 2,781,866× 2,826,909× 2,552,022× 2,433,386× 2,699,258× 3,223,867× 3,381,446× 3,692,857× 3,896,631× 3,506,711× 3,290,919× 3,728,315× 3,171,417× 3,083,978× 2,648,194× 2,282,072× 2,326,155× 2,284,119× 2,033,544× 2,208,357× 1,755,521× 1,708,546× 1,964,546× 1,563,702× 1,646,728× 1,910,738× 1,877,073× 2,452,901× 1,706,496× 1,644,260× 1,499,452× 929,436× 887,506× 727,758× 511,590× 543,770× 411,289× 421,846× 400,164× 407,763× 509,617× 400,027× 397,360× 249,652× 267,364× 154,988× 182,900× 114,932× 232,060× 160,516× 187,570× 238,900× 147,350× 227,146× 216,212× 217,048× 212,674× 363,830× 343,550× 423,466× 533,676× 601,786× 504,200× 515,276× 213,646× 298,442× 109,458× 173,826× 140,830× 85,002× 164,960× 70,202× 78,222× 97,816× 156,710× 145,668× 200,530× 193,694× 46,980× 144,928× 70,308× 105,940× 186,700× 236,724× 340,263× 353,815× 345,572× 461,676× 590,204× 612,742× 532,764× 444,766× 466,398× 311,060× 268,648× 324,372× 284,288× 227,218× 306,186× 262,276× 166,684× 499,084× 328,957× 433,883× 340,595× 324,750× 409,344× 452,318× 501,428× 861,946× 1,011,214× 1,342,828× 1,103,385× 772,947× 838,446× 693,196× 950,692× 749,580× 996,835× 1,038,734× 977,908× 808,592× 657,040× 687,648× 744,370× 697,222× 862,806× 815,460× 723,344× 775,406× 549,650× 376,554× 325,860× 289,404× 305,450× 343,576× 217,224× 293,266× 241,280× 181,440× 69,918× 81,068× 79,992× | 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: 46s: 47s: 48s: 49s: 50s: 51s: 52s: 0× 1× 267,761× 946,560× 3,323,256× 6,662,604× 11,308,830× 15,546,168× 22,780,162× 35,907,898× 40,528,088× 47,497,048× 54,900,634× 62,961,422× 76,202,154× 87,136,012× 98,187,514× 94,537,604× 90,464,268× 103,846,590× 89,291,206× 95,143,898× 125,451,646× 133,524,140× 149,028,864× 150,990,688× 180,807,276× 240,498,196× 289,491,100× 347,356,120× 439,344,052× 503,632,124× 567,020,916× 639,623,282× 706,033,892× 683,733,468× 616,987,938× 661,173,806× 637,260,498× 548,623,024× 440,254,288× 380,487,388× 279,998,788× 194,211,458× 127,275,208× 74,366,092× 44,025,766× 22,756,674× 10,748,284× 3,151,476× 337,704× 230,884× 3,210× |