| 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 | 30.44 step avg | 23.28 step avg | 21.83 step avg | 25.38 step avg | 201.70 step avg |
| Step Frequency Full Cycle | 0s: 1s: 2s: 0× 1× 109× | 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× 2× 181× 36× 0× 0× 0× 0× 0× 0× 0× 0× 0× 0× 0× 0× 0× 0× 9× 999× 954× 0× 0× 0× 0× 0× 0× 0× 0× 0× 0× 0× 0× 0× 0× 0× 18× 1,926× 1,980× | 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: 0× 1× 3,189× 3,078× 6,154× 6,146× 6,134× 6,118× 6,098× 6,074× 6,046× 6,014× 5,978× 5,938× 5,894× 5,846× 5,794× 5,738× 5,678× 5,614× 5,546× 5,474× 5,398× 5,318× 5,234× 5,146× 5,054× 4,958× 4,858× 4,754× 4,646× 4,534× 4,418× 4,298× 4,174× 4,046× 3,914× 3,778× 3,638× 3,494× 3,346× 3,194× 3,038× 2,878× 2,714× 2,546× 2,374× 2,198× 2,018× 1,834× 1,646× 1,454× 1,258× 1,058× 854× 646× 434× 218× | 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: 0× 1× 2,089× 3,014× 12,540× 0× 14,400× 31,100× 125,400× 0× 0× 25,452× 63,328× 250,800× 10,995× 10,432× 0× 0× 0× 0× 0× 351,288× 1,002,592× 4,012,800× 265,359× 233,825× 14,103× 9,222× | 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: 0× 1× 109× 9,128× 3,080× 207,940× 220,578× 301,940× 663,416× 935,710× 1,451,360× 1,607,338× 2,348,348× 2,038,006× 3,531,446× 2,916,948× 4,606,730× 3,338,996× 5,678,924× 3,951,026× 6,809,432× 5,376,928× 7,981,024× 6,456,472× 8,226,458× 6,353,200× 7,715,892× 5,843,470× 7,315,876× 5,235,546× 6,670,256× 4,857,418× 5,465,444× 4,443,372× 4,471,694× 3,688,218× 3,416,630× 2,951,984× 2,533,760× 2,125,148× 1,639,520× 1,258,016× 824,084× 579,616× 393,990× 241,264× 111,382× 6,154× | 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: 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: 0× 1× 3,189× 0× 0× 0× 0× 0× 0× 0× 0× 0× 0× 0× 0× 0× 0× 0× 0× 329,688× 1,263,384× 78,438× 30,729× 48,064× 86,666× 96,046× 0× 0× 0× 0× 0× 0× 0× 0× 0× 0× 0× 0× 0× 0× 0× 0× 0× 0× 0× 0× 0× 0× 0× 0× 0× 0× 0× 0× 0× 0× 0× 0× 0× 0× 0× 0× 0× 0× 0× 0× 0× 0× 0× 0× 0× 0× 879,646× 2,284,590× 2,313,043× 2,705,365× 4,923,124× 7,332,955× 6,418,866× 5,824,146× 5,969,346× 6,277,201× 8,001,124× 7,178,277× 7,511,533× 7,905,105× 6,870,645× 7,023,236× 7,467,817× 7,552,375× 8,665,221× 8,124,241× 8,137,139× 8,104,371× 9,612,017× 11,757,742× 11,127,387× 11,286,488× 12,162,352× 11,622,047× 9,388,565× 8,684,556× 8,987,343× 10,770,640× 9,161,925× 8,006,492× 8,133,819× 8,529,432× 8,897,902× 7,488,511× 8,058,288× 7,985,368× 8,912,752× 8,702,501× 8,587,044× 10,032,305× 10,282,971× 9,757,885× 8,770,260× 6,660,424× 6,351,679× 6,222,395× 7,054,580× 6,893,387× 6,353,098× 6,267,188× 5,596,141× 6,331,376× 6,959,461× 5,671,574× 6,131,423× 6,758,919× 6,081,987× 5,565,633× 5,732,787× 6,740,359× 6,853,396× 6,774,909× 7,055,963× 6,410,226× 6,897,987× 6,384,551× 6,932,202× 6,283,576× 6,350,326× 5,877,604× 5,315,920× 5,756,870× 6,543,073× 8,300,245× 11,947,060× 10,301,065× 11,202,377× 12,463,221× 14,165,556× 14,924,608× 14,714,943× 14,454,461× 16,077,404× 16,232,791× 15,256,869× 16,661,499× 14,988,331× 15,413,000× 15,529,304× 15,089,261× 16,348,178× 15,722,854× 16,301,683× 16,334,337× 16,501,839× 16,493,473× 18,263,535× 22,292,752× 20,025,933× 20,404,959× 20,340,328× 21,139,707× 21,323,675× 21,295,157× 21,239,064× 22,791,498× 18,948,466× 18,830,797× 18,621,597× 17,083,858× 16,190,659× 16,005,581× 16,537,474× 16,684,191× 16,633,603× 15,399,302× 16,346,669× 14,782,171× 13,571,641× 15,185,494× 12,951,264× 12,767,003× 13,859,146× 14,310,742× 13,339,092× 16,431,545× 16,400,728× 15,251,584× 16,503,262× 17,394,211× 15,928,892× 14,056,776× 15,929,785× 15,236,099× 14,837,637× 15,363,637× 16,227,437× 14,909,960× 15,435,731× 16,137,875× 15,453,539× 15,884,359× 17,393,094× 17,714,758× 17,849,155× 15,648,536× 15,926,406× 16,693,345× 14,856,522× 15,623,227× 15,720,529× 15,717,102× 15,437,349× 15,557,899× 16,635,386× 15,674,379× 16,778,844× 15,242,631× 16,269,001× 15,018,942× 14,836,596× 14,025,767× 14,380,586× 16,441,716× 15,325,468× 14,059,392× 14,867,175× 15,513,844× 15,413,402× 14,681,455× 16,165,707× 16,076,065× 15,538,757× 13,944,136× 14,215,122× 13,296,964× 13,130,867× 12,565,624× 12,355,166× 12,464,974× 12,995,190× 15,246,937× 14,275,000× 12,418,652× 11,483,410× 12,549,217× 12,890,757× 11,889,521× 11,804,134× 12,200,988× 13,204,735× 12,407,749× 10,915,567× 10,954,737× 9,835,542× 7,960,339× 7,801,864× 8,032,111× 6,995,212× 7,203,528× 7,051,984× 6,767,718× 7,460,385× 8,621,874× 7,713,054× 8,472,507× 6,850,802× 6,469,036× 5,897,401× 5,788,721× 5,138,570× 5,950,939× 5,430,805× 6,528,436× 5,958,662× 5,591,761× 4,577,271× 5,008,418× 5,613,187× 5,703,560× 4,932,004× 5,006,670× 4,208,478× 4,596,254× 4,200,680× 4,110,853× 4,487,546× 4,922,841× 4,040,942× 3,558,096× 2,938,894× 2,701,693× 2,325,759× 2,303,412× 2,291,686× 2,304,980× 2,904,469× 2,832,073× 3,400,870× 3,167,778× 2,701,733× 2,656,243× 3,087,934× 2,594,346× 2,754,188× 2,906,407× 2,336,498× 2,096,947× 1,905,256× 2,036,934× 1,766,623× 2,337,138× 2,620,631× 1,981,376× 1,963,917× 1,882,811× 1,763,445× 1,426,690× 1,714,340× 2,089,875× 2,099,791× 2,318,910× 2,617,933× 1,709,264× 2,230,277× 2,011,366× 2,437,291× 2,658,169× 1,899,954× 1,400,047× 1,760,497× 1,924,368× 2,085,261× 2,119,413× 2,907,276× 2,026,201× 2,103,524× 1,502,045× 1,329,478× 1,260,358× 971,567× 1,090,336× 1,272,606× 1,323,342× 1,151,871× 1,543,532× 1,436,492× 1,806,345× 1,671,763× 1,529,374× 1,120,015× 1,578,452× 1,529,752× 1,435,601× 1,170,826× 596,904× 514,730× 239,834× 300,028× 331,959× 244,726× 504,588× 388,054× 365,964× 406,676× 418,216× 490,666× 297,624× 242,578× 362,690× 197,596× 193,765× 254,685× 320,830× 356,870× 636,704× 279,020× 313,982× 464,308× 553,800× 437,586× 421,093× 509,200× 535,235× 403,343× 360,896× 268,286× 321,522× 421,146× 620,703× 700,722× 556,348× 304,164× 269,469× 352,866× 672,672× 715,132× 620,200× 539,390× 556,488× 440,866× 416,790× 472,974× 610,330× 202,336× 202,536× 191,872× 240,745× 243,164× 209,951× 185,506× 186,044× 211,880× 288,780× 604,500× 364,900× 655,012× 776,346× 506,454× 455,474× 209,188× 101,894× 131,365× 150,541× 137,958× 66,414× 221,214× 59,318× 49,428× 59,290× 62,898× 118,838× 318,638× 371,966× 605,184× 409,272× 236,868× 184,176× 87,664× 81,514× 107,148× 34,536× 110,254× 362,089× 294,458× 94,308× 50,764× 94,714× 85,036× |