| 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 Cycle Start | 0.99 step avg | 2.22 step avg | 26.10 step avg | 1.78 step avg | 26.48 step avg | 140.92 step avg |
| Step Frequency Cycle Start | 0s: 1s: 1× 132× | 0s: 1s: 2s: 3s: 18× 2,326× 2,211× 4,356× | 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: 1× 9,109× 4,485× 8,968× 8,958× 8,944× 8,926× 8,904× 8,878× 8,848× 8,814× 8,776× 8,734× 8,688× 8,638× 8,584× 8,526× 8,464× 8,398× 8,328× 8,254× 8,176× 8,094× 8,008× 7,918× 7,824× 7,726× 7,624× 7,518× 7,408× 7,294× 7,176× 7,054× 6,928× 6,798× 6,664× 6,526× 6,384× 6,238× 6,088× 5,934× 5,776× 5,614× 5,448× 5,278× 5,104× 4,926× 4,744× 4,558× 4,368× 4,174× 3,976× 3,774× 3,568× 3,358× 3,144× 2,926× 2,704× 2,478× 2,248× 2,014× 1,776× 1,534× 1,288× 1,038× 784× 526× 264× | 0s: 1s: 2s: 3s: 4s: 1× 3,353,482× 9,970,873× 304,986× 4,488× | 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× 637,070× 529,845× 520,303× 1,142,884× 1,499,033× 2,155,805× 2,425,141× 3,498,041× 3,450,432× 4,448,787× 4,544,487× 5,528,946× 5,943,992× 6,626,241× 7,380,949× 7,723,064× 8,970,772× 8,935,383× 11,111,434× 10,278,822× 13,613,822× 11,835,375× 15,101,552× 13,506,832× 16,022,308× 14,828,628× 16,365,422× 14,484,090× 14,940,306× 13,651,588× 14,344,781× 12,157,473× 14,160,386× 10,846,520× 12,458,108× 9,718,145× 10,418,588× 8,607,988× 8,589,837× 6,816,197× 6,539,290× 4,773,515× 4,204,904× 2,896,399× 2,108,068× 1,469,225× 933,043× 503,321× 229,095× 81,320× 9,384× | 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: 1× 7,296,034× 20,387,894× 47,498,368× 34,920,365× 31,993,027× 31,706,378× 30,036,030× 30,356,227× 30,686,393× 28,840,839× 29,867,141× 27,857,000× 27,573,880× 26,439,861× 27,162,595× 29,398,978× 25,567,882× 27,647,113× 33,797,359× 34,626,156× 30,012,747× 28,246,802× 24,443,042× 23,931,741× 22,160,425× 25,827,754× 20,145,942× 19,821,318× 21,980,933× 20,756,526× 21,371,624× 23,465,752× 21,966,852× 23,845,272× 24,065,139× 23,904,813× 23,686,009× 27,824,699× 28,161,267× 29,106,889× 32,469,992× 31,500,997× 29,308,008× 25,767,867× 25,425,663× 25,974,087× 27,333,228× 30,019,901× 27,883,219× 28,734,427× 33,009,589× 35,913,958× 40,507,900× 35,229,567× 37,432,612× 44,358,268× 44,239,952× 48,656,054× 43,067,132× 46,921,014× 47,073,393× 44,747,870× 48,531,372× 52,313,276× 51,271,058× 49,679,449× 44,658,326× 42,915,924× 43,901,668× 44,383,096× 48,980,705× 48,633,539× 49,505,695× 47,940,086× 38,696,029× 37,246,758× 35,664,522× 37,234,045× 36,290,058× 34,445,875× 32,475,650× 31,963,246× 33,891,494× 36,412,028× 36,419,920× 34,515,874× 30,047,233× 28,108,885× 29,432,764× 31,915,346× 29,779,614× 30,098,548× 25,123,652× 23,436,768× 27,954,535× 28,675,507× 29,217,478× 32,785,713× 37,958,711× 33,887,327× 31,408,647× 27,946,298× 28,548,448× 31,063,986× 30,920,803× 31,352,449× 32,092,125× 31,011,860× 30,744,475× 30,971,385× 30,407,152× 27,529,617× 24,215,680× 28,402,996× 29,100,557× 31,186,463× 32,446,514× 34,264,485× 31,963,362× 31,005,608× 30,555,186× 32,635,293× 33,167,237× 31,679,736× 30,631,994× 33,246,777× 32,910,153× 34,686,871× 37,182,839× 37,084,571× 36,396,840× 34,433,554× 37,628,105× 33,774,019× 31,447,656× 30,491,581× 31,954,588× 32,448,356× 31,396,366× 30,192,664× 32,717,356× 34,610,976× 33,190,270× 35,343,115× 33,192,458× 30,292,799× 30,906,948× 31,343,758× 29,272,846× 24,466,927× 24,578,118× 24,400,447× 28,315,259× 28,533,624× 31,779,195× 30,407,052× 32,674,623× 33,269,644× 32,064,756× 30,759,790× 26,525,890× 26,268,564× 26,302,757× 25,943,942× 24,242,018× 24,393,612× 23,625,726× 26,255,439× 22,676,326× 25,588,817× 28,879,999× 28,133,052× 28,954,784× 25,765,714× 28,219,280× 26,883,677× 28,208,718× 32,205,434× 31,148,727× 29,234,088× 29,654,826× 25,945,936× 27,831,460× 26,956,353× 26,750,746× 24,650,576× 29,989,254× 23,677,867× 28,054,876× 30,894,897× 34,656,980× 30,963,555× 30,154,007× 26,872,575× 27,043,409× 27,600,184× 27,358,546× 27,647,004× 31,354,596× 31,249,799× 30,705,489× 30,748,626× 29,335,018× 27,764,238× 29,511,927× 25,853,590× 25,887,148× 33,565,136× 34,232,514× 28,706,932× 29,935,218× 28,414,013× 26,156,179× 25,345,750× 28,992,213× 31,752,171× 32,115,290× 29,107,267× 27,766,081× 26,632,355× 23,873,624× 24,159,593× 24,615,454× 23,685,649× 24,776,516× 23,484,868× 22,972,202× 23,220,325× 22,908,441× 21,066,059× 21,140,270× 23,609,163× 25,178,422× 27,423,546× 26,726,313× 25,178,614× 25,039,765× 25,668,234× 25,037,765× 23,529,917× 23,441,474× 22,696,195× 24,447,238× 24,026,994× 25,944,035× 27,504,702× 20,932,303× 22,387,379× 24,896,500× 27,220,494× 25,148,227× 22,141,114× 23,069,741× 24,519,596× 20,583,236× 21,074,584× 24,244,249× 20,965,662× 15,744,988× 17,828,163× 16,624,602× 14,392,780× 13,628,187× 12,223,164× 12,183,424× 11,432,923× 10,357,839× 10,659,912× 12,243,846× 14,211,372× 16,074,353× 13,479,742× 12,922,551× 14,319,874× 11,398,203× 12,459,093× 13,639,889× 14,660,668× 12,637,583× 15,727,871× 16,706,997× 12,977,562× 9,898,175× 9,758,927× 9,611,652× 10,235,839× 9,521,084× 12,686,285× 14,121,629× 12,342,658× 13,341,778× 12,929,906× 9,472,020× 9,904,867× 12,049,433× 11,732,417× 11,290,325× 9,515,056× 7,736,545× 7,129,563× 7,228,380× 8,885,985× 8,881,504× 9,467,576× 8,516,966× 8,079,138× 9,216,914× 9,966,239× 9,221,204× 10,030,448× 8,594,983× 7,887,216× 9,330,968× 8,727,418× 5,661,869× 6,534,880× 7,514,462× 6,537,406× 6,130,379× 7,004,400× 5,450,856× 4,249,063× 5,258,093× 4,922,173× 4,910,889× 3,748,890× 3,201,910× 4,353,241× 3,800,207× 3,523,689× 4,287,340× 2,587,532× 3,130,887× 3,921,697× 3,187,525× 3,160,751× 2,205,665× 2,279,359× 2,732,839× 3,264,293× 3,796,348× 3,507,440× 3,586,333× 1,792,995× 2,096,306× 2,331,649× 1,981,964× 1,808,365× 2,445,253× 1,519,069× 1,350,192× 790,933× 619,381× 1,114,364× 1,472,084× 1,026,680× 1,341,870× 697,717× 1,051,341× 275,932× 564,446× 486,186× 185,217× 270,279× 701,246× 906,008× 902,898× 494,821× 834,868× 1,404,998× 2,257,619× 2,498,872× 4,203,481× 4,648,976× 2,871,065× 2,123,481× 2,071,238× 1,905,680× 2,291,920× 2,367,680× 2,023,172× 2,376,680× 2,385,224× 1,702,647× 1,593,487× 256,057× 108,862× 407,833× 108,152× 141,445× 82,511× 18,998× |