| 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 |
| Б | В | Г | Д | Е | Ж | З | И | Й | К | Л | М | Н | О | П | Р |
| 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 Cycle Start | 0.99 step avg | 1.48 step avg | 25.29 step avg | 2.82 step avg | 26.63 step avg | 164.28 step avg |
| Step Frequency Cycle Start | 0s: 1s: 1× 125× | 0s: 1s: 2s: 33× 4,062× 3,906× | 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: 1× 4,157× 4,030× 8,058× 8,050× 8,038× 8,022× 8,002× 7,978× 7,950× 7,918× 7,882× 7,842× 7,798× 7,750× 7,698× 7,642× 7,582× 7,518× 7,450× 7,378× 7,302× 7,222× 7,138× 7,050× 6,958× 6,862× 6,762× 6,658× 6,550× 6,438× 6,322× 6,202× 6,078× 5,950× 5,818× 5,682× 5,542× 5,398× 5,250× 5,098× 4,942× 4,782× 4,618× 4,450× 4,278× 4,102× 3,922× 3,738× 3,550× 3,358× 3,162× 2,962× 2,758× 2,550× 2,338× 2,122× 1,902× 1,678× 1,450× 1,218× 982× 742× 498× 250× | 0s: 1s: 2s: 3s: 4s: 5s: 6s: 7s: 1× 674,685× 1,903,710× 7,616,700× 415,670× 368,143× 18,423× 12,044× | 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: 1× 89,751× 102,316× 175,466× 375,226× 630,546× 1,071,820× 1,380,694× 1,972,722× 1,890,094× 3,392,244× 3,294,038× 4,874,566× 3,923,424× 6,412,950× 4,554,176× 7,979,292× 5,174,738× 9,602,918× 6,283,136× 11,339,094× 8,183,154× 12,907,362× 9,476,000× 13,380,924× 9,996,090× 13,499,980× 10,306,282× 13,556,226× 9,672,664× 12,776,134× 9,015,994× 11,238,530× 8,479,292× 10,181,614× 7,513,516× 8,660,398× 6,526,528× 6,871,728× 5,604,848× 5,288,912× 4,316,668× 3,901,674× 3,065,948× 2,461,874× 1,835,996× 1,365,306× 904,278× 478,714× 196,842× 54,048× 7,040× | 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: 1× 15,069,969× 44,309,212× 15,229,369× 15,099,166× 17,046,289× 18,844,677× 18,944,890× 18,711,502× 22,282,191× 24,806,461× 24,057,945× 22,655,024× 20,007,672× 22,475,678× 25,668,044× 26,190,522× 22,519,684× 22,418,204× 26,800,015× 28,625,328× 30,721,709× 31,140,873× 29,332,616× 26,623,922× 27,655,024× 29,630,494× 28,282,169× 27,380,741× 25,456,511× 22,426,587× 20,310,771× 19,649,091× 18,710,282× 19,223,889× 20,788,930× 24,737,793× 22,795,038× 25,934,673× 23,918,804× 25,511,972× 26,242,468× 24,155,710× 25,436,188× 28,069,985× 24,874,541× 25,262,351× 23,564,765× 26,255,059× 30,591,600× 31,363,931× 30,317,020× 28,323,525× 30,545,648× 33,429,081× 28,014,013× 26,375,317× 27,973,691× 23,958,378× 24,837,437× 26,439,795× 25,711,609× 27,288,583× 29,656,836× 27,913,425× 28,505,670× 28,057,126× 31,159,855× 29,783,292× 27,811,407× 26,052,750× 22,807,116× 20,774,092× 22,948,384× 24,290,341× 24,473,829× 23,400,222× 23,824,281× 22,803,603× 24,671,403× 25,615,090× 24,617,645× 22,681,411× 23,525,355× 22,475,496× 18,179,298× 19,165,145× 18,213,542× 20,200,272× 21,888,619× 21,970,991× 19,145,926× 17,920,726× 18,798,972× 19,018,468× 20,234,374× 18,059,645× 19,674,752× 19,512,016× 19,600,461× 19,561,491× 20,087,347× 17,959,989× 15,248,440× 14,892,434× 16,401,194× 16,875,410× 16,150,156× 16,186,703× 16,795,358× 17,302,388× 15,711,227× 17,560,116× 17,789,500× 14,554,491× 15,434,143× 13,859,157× 14,019,281× 14,097,921× 13,808,061× 13,747,335× 13,605,669× 13,711,627× 15,410,042× 15,273,221× 15,704,899× 17,969,568× 18,939,389× 21,568,836× 22,716,918× 21,581,272× 21,221,178× 20,613,103× 19,342,416× 18,864,740× 16,662,962× 17,984,562× 18,679,884× 18,859,298× 17,305,735× 14,326,082× 14,482,680× 17,600,564× 20,013,947× 19,342,006× 20,559,140× 19,357,533× 20,117,236× 19,828,133× 21,597,021× 21,942,171× 20,983,893× 19,108,511× 19,513,126× 18,223,777× 19,335,444× 17,559,751× 18,803,341× 20,448,935× 20,966,018× 21,164,313× 21,349,224× 21,689,484× 21,296,855× 20,965,372× 18,132,542× 16,381,423× 15,177,517× 15,369,218× 14,869,925× 14,277,891× 13,243,033× 12,938,260× 11,144,969× 10,069,015× 10,638,320× 10,592,147× 11,673,655× 11,438,408× 12,247,589× 10,890,174× 12,704,801× 12,833,839× 14,238,340× 15,584,103× 12,859,535× 12,956,153× 12,530,246× 12,776,251× 12,624,051× 14,085,414× 17,072,507× 16,069,421× 14,974,438× 14,843,416× 14,546,396× 13,441,732× 11,682,654× 13,491,811× 15,055,501× 14,280,130× 12,910,404× 14,638,693× 13,796,737× 14,474,217× 15,345,191× 15,023,728× 14,108,801× 14,255,106× 15,100,506× 15,048,644× 13,516,643× 13,747,039× 12,364,580× 14,754,921× 13,292,458× 10,405,380× 10,369,695× 10,515,675× 11,729,613× 11,507,169× 12,186,109× 11,728,044× 12,421,990× 9,779,497× 11,378,304× 9,277,352× 9,461,563× 10,830,875× 11,367,239× 11,871,465× 10,370,194× 9,237,346× 8,012,360× 9,161,701× 9,520,499× 9,626,376× 8,567,347× 9,482,375× 10,314,925× 9,838,676× 12,068,533× 12,100,446× 13,980,364× 13,209,422× 11,576,292× 12,911,857× 12,892,289× 15,306,393× 15,508,117× 14,951,637× 13,624,299× 12,690,228× 15,400,374× 17,156,200× 17,475,430× 18,637,709× 19,368,783× 18,355,954× 17,899,609× 16,886,617× 17,324,420× 18,170,378× 17,338,562× 17,199,854× 18,075,734× 16,789,513× 17,199,794× 20,229,955× 23,277,657× 21,575,980× 19,083,363× 19,583,512× 17,367,583× 17,649,728× 18,391,126× 17,541,898× 16,202,976× 14,865,406× 14,436,857× 13,634,934× 15,448,557× 16,409,856× 14,332,916× 16,402,354× 15,107,601× 14,197,965× 13,939,880× 15,167,402× 14,912,939× 15,977,013× 15,460,687× 12,937,528× 11,987,736× 11,517,854× 10,418,230× 9,588,602× 9,546,119× 8,471,576× 8,514,797× 6,816,084× 6,140,656× 5,497,061× 5,004,144× 3,953,688× 5,027,696× 4,385,943× 3,790,495× 3,852,084× 4,206,552× 5,013,527× 4,383,913× 4,162,710× 3,278,823× 4,264,038× 5,956,000× 5,148,522× 5,903,987× 4,810,687× 3,662,778× 4,112,782× 4,696,747× 3,262,270× 3,252,831× 3,589,268× 3,340,811× 3,228,696× 3,725,314× 3,800,688× 4,001,637× 3,644,731× 3,054,636× 2,622,932× 2,761,297× 3,255,244× 3,258,124× 4,235,377× 4,178,838× 4,272,670× 4,309,308× 4,255,213× 4,761,579× 4,930,935× 5,634,288× 5,400,142× 5,482,389× 5,651,470× 5,139,391× 4,102,063× 5,164,983× 4,598,934× 4,671,332× 4,968,276× 5,855,421× 6,659,315× 6,097,527× 7,371,974× 6,730,862× 7,123,073× 9,437,953× 8,234,204× 5,755,954× 5,609,907× 4,516,664× 3,788,241× 3,851,670× 3,118,364× 3,771,290× 3,338,587× 2,857,673× 3,122,230× 3,582,645× 4,095,502× 3,899,206× 4,327,534× 4,912,290× 4,671,496× 4,457,525× 3,815,862× 3,271,935× 3,783,055× 3,748,093× 4,421,079× 3,251,470× 3,694,716× 4,695,407× 5,257,693× 4,506,776× 3,082,602× 3,872,155× 3,179,386× 3,438,948× 3,617,565× 2,717,153× 2,232,991× 3,352,080× 3,540,772× 2,750,347× 1,880,235× 2,089,346× 2,462,027× 2,601,640× 3,837,076× 2,690,285× 2,803,462× 2,912,431× 3,225,883× 3,390,981× 4,126,733× 2,787,676× 2,399,323× 2,319,988× 2,958,848× 2,881,852× 4,359,840× 4,426,852× 5,183,937× 7,139,086× 6,380,078× 7,249,962× 7,386,356× 8,046,574× 8,485,116× 7,850,633× 6,544,673× 7,528,948× 6,159,343× 5,873,199× 5,439,518× 3,566,933× 4,274,046× 5,000,185× 4,988,772× 4,153,888× 4,898,783× 4,438,814× 5,220,668× 3,970,253× 3,917,541× 3,664,790× 1,838,046× 2,752,231× 3,113,934× 4,220,490× 5,086,746× 4,467,707× 4,261,596× 3,925,004× 5,697,631× 6,113,992× 6,299,966× 5,935,846× 5,423,650× 4,865,803× 5,346,221× 4,891,195× 3,633,526× 4,232,645× 5,601,769× 6,394,393× 5,634,351× 7,160,164× 6,344,557× 6,458,484× 7,132,598× 7,355,424× 4,797,050× 4,372,445× 3,960,023× 4,118,370× 3,400,387× 2,790,087× 2,225,994× 2,185,776× 1,506,376× 1,752,464× 2,695,686× 1,914,503× 1,515,577× 1,876,260× 1,226,788× 1,679,696× 2,398,203× 2,471,532× 1,276,234× 807,314× 395,552× 101,202× |