| 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 |
| С | Т | У | Ф | Х | Ц | Ч | Ш | Щ | Ъ | Ы | Ь | Э | Ю | Я | 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 | 7.78 step avg | 28.47 step avg | 34.01 step avg | 29.23 step avg | 179.06 step avg |
| Step Frequency Full Cycle | 0s: 1s: 2s: 0× 1× 134× | 0s: 1s: 2s: 3s: 4s: 5s: 6s: 7s: 8s: 9s: 0× 1× 134× 67× 138× 832× 504× 1,072× 2,144× 4,288× | 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: 0× 1× 134× 9,247× 4,620× 9,238× 9,228× 9,214× 9,196× 9,174× 9,148× 9,118× 9,084× 9,046× 9,004× 8,958× 8,908× 8,854× 8,796× 8,734× 8,668× 8,598× 8,524× 8,446× 8,364× 8,278× 8,188× 8,094× 7,996× 7,894× 7,788× 7,678× 7,564× 7,446× 7,324× 7,198× 7,068× 6,934× 6,796× 6,654× 6,508× 6,358× 6,204× 6,046× 5,884× 5,718× 5,548× 5,374× 5,196× 5,014× 4,828× 4,638× 4,444× 4,246× 4,044× 3,838× 3,628× 3,414× 3,196× 2,974× 2,748× 2,518× 2,284× 2,046× 1,804× 1,558× 1,308× 1,054× 796× 534× 268× | 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: 0× 1× 3,104× 12,483× 33,294× 58,698× 74,088× 22,926× 56,214× 0× 126,340× 337,620× 0× 314,604× 901,044× 0× 0× 0× 0× 63,790× 172,542× 10,473× 0× 0× 0× 0× 0× 0× 0× 0× 0× 0× 0× 0× 0× 0× 0× 2,974,944× 8,983,366× 312,936× 4,623× | 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: 0× 1× 95,354× 118,939× 213,650× 455,482× 766,980× 1,299,400× 1,678,432× 2,387,088× 2,296,966× 4,105,668× 4,001,699× 5,898,718× 4,770,735× 7,765,650× 5,546,033× 9,675,984× 6,315,173× 11,600,320× 7,211,698× 13,652,605× 8,986,966× 15,702,876× 11,470,323× 17,725,681× 12,791,742× 17,940,317× 13,373,400× 17,683,592× 13,528,895× 17,581,871× 12,691,316× 16,767,663× 11,819,097× 15,091,623× 11,146,243× 13,506,430× 10,023,480× 11,733,177× 8,745,772× 9,482,916× 7,707,361× 7,529,760× 6,073,399× 5,660,751× 4,546,959× 3,860,662× 2,953,523× 2,324,343× 1,697,982× 1,095,024× 609,060× 269,700× 83,494× 11,661× 268× | 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: 0× 1× 134× 0× 0× 181,504× 481,408× 1,900,160× 7,570,624× 32,434,616× 12,696,552× 10,963,921× 21,522,992× 43,920,992× 18,283,455× 16,266,333× 16,710,605× 14,302,165× 16,555,807× 14,797,139× 18,063,466× 12,145,921× 7,652,863× 6,549,746× 7,576,645× 8,538,353× 10,153,972× 9,232,504× 6,478,146× 8,938,089× 12,031,482× 9,604,194× 9,021,617× 11,426,066× 9,891,233× 8,922,885× 11,267,929× 10,015,259× 8,272,376× 13,997,289× 12,747,679× 7,374,341× 7,621,744× 10,042,306× 11,227,630× 11,261,781× 17,270,783× 39,550,929× 99,987,740× 41,990,089× 42,867,735× 60,540,747× 57,361,029× 40,446,152× 45,390,088× 46,457,122× 42,232,219× 43,893,234× 52,836,026× 62,660,657× 57,321,392× 44,891,918× 41,457,941× 50,722,622× 63,325,785× 54,494,598× 43,556,622× 44,361,490× 36,645,562× 34,825,465× 39,494,711× 36,921,488× 29,523,316× 32,200,107× 23,398,691× 26,772,337× 26,436,504× 18,115,981× 17,333,601× 15,738,594× 13,006,113× 10,712,901× 16,722,998× 14,639,005× 10,808,605× 10,747,183× 11,066,120× 13,631,273× 10,027,857× 10,553,473× 10,799,885× 5,744,855× 6,609,643× 10,840,804× 7,321,128× 7,305,024× 7,656,687× 9,435,322× 8,290,574× 9,255,796× 12,151,386× 8,982,939× 10,765,525× 8,795,740× 8,690,921× 9,721,554× 11,986,480× 15,284,941× 10,277,303× 9,618,101× 9,593,632× 11,319,353× 14,679,004× 9,934,011× 6,782,569× 7,834,253× 7,923,196× 8,968,909× 7,332,888× 4,454,150× 7,347,685× 8,490,254× 6,476,850× 7,907,610× 12,129,600× 6,075,463× 5,118,655× 5,325,573× 4,936,380× 3,550,812× 3,768,633× 3,105,214× 1,750,993× 1,892,335× 1,514,090× 4,428,238× 8,169,529× 4,747,365× 4,773,301× 4,349,067× 3,690,422× 3,728,765× 3,182,984× 7,147,191× 3,998,432× 4,011,568× 9,181,516× 6,929,260× 4,042,460× 5,656,996× 3,223,826× 2,924,860× 1,943,537× 1,045,855× 996,431× 1,217,592× 960,193× 414,079× 4,428,899× 10,719,741× 25,769,324× 62,578,225× 138,966,804× 59,434,181× 63,556,546× 69,406,606× 63,236,567× 53,472,956× 64,474,816× 68,177,416× 81,296,667× 88,801,389× 70,191,249× 60,526,577× 55,374,909× 60,372,657× 50,188,085× 60,704,366× 53,994,106× 46,877,221× 39,558,693× 39,591,023× 39,777,441× 43,961,008× 45,269,754× 48,276,182× 48,861,314× 44,947,576× 49,389,505× 43,839,232× 41,960,459× 40,409,571× 42,754,357× 59,066,675× 67,798,720× 69,959,485× 77,141,567× 68,085,702× 57,854,492× 59,527,019× 55,876,508× 67,650,505× 63,588,729× 60,524,352× 63,150,392× 62,485,969× 64,696,808× 67,342,180× 66,937,301× 62,371,720× 67,121,176× 76,697,008× 61,330,727× 61,123,091× 67,988,567× 63,667,223× 57,784,372× 62,107,270× 70,409,511× 71,480,970× 72,647,565× 71,865,663× 66,241,561× 66,206,065× 65,921,825× 63,925,139× 68,551,986× 61,150,854× 61,853,776× 56,421,584× 59,459,262× 58,100,387× 54,147,389× 43,748,860× 43,866,584× 37,479,886× 36,376,335× 34,817,538× 37,674,770× 45,028,721× 48,564,343× 40,661,459× 33,483,892× 32,789,515× 34,619,779× 36,867,285× 46,696,648× 55,750,934× 48,985,426× 62,366,033× 58,357,552× 63,106,297× 49,512,015× 53,280,638× 49,260,248× 54,959,334× 48,715,713× 47,640,035× 41,417,822× 46,079,998× 44,932,012× 47,539,121× 44,902,506× 38,591,288× 29,052,232× 27,419,073× 23,731,764× 28,304,611× 33,981,870× 33,827,621× 31,150,980× 25,417,615× 30,069,475× 39,216,732× 42,848,813× 31,875,345× 28,589,371× 26,111,965× 15,685,963× 22,416,857× 18,147,336× 23,640,289× 18,462,831× 17,322,415× 15,638,915× 20,031,393× 23,222,120× 20,805,594× 19,603,648× 16,162,078× 12,322,506× 12,803,885× 7,501,516× 9,908,489× 10,848,085× 9,620,483× 8,681,259× 7,460,263× 9,351,943× 13,900,337× 12,786,976× 10,012,353× 9,579,699× 7,697,665× 9,937,079× 9,051,981× 7,655,603× 7,497,307× 5,421,655× 5,998,880× 8,719,197× 7,717,900× 3,756,482× 4,208,559× 5,470,883× 4,498,717× 4,720,379× 5,627,708× 7,913,340× 5,554,487× 4,842,027× 5,928,642× 5,972,469× 5,631,405× 6,215,169× 8,022,780× 7,192,216× 4,072,592× 7,070,161× 8,234,324× 5,002,919× 5,386,671× 5,933,589× 3,520,081× 1,733,261× 2,896,921× 3,512,879× 3,465,319× 2,061,932× 1,871,250× 1,912,826× 2,398,054× 1,579,603× 941,573× 1,917,657× 1,730,653× 1,402,538× 1,798,867× 622,310× 249,528× 69,624× |