| 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 | 2.22 step avg | 23.85 step avg | 1.78 step avg | 24.26 step avg | 124.66 step avg |
| Step Frequency Cycle Start | 0s: 1s: 1× 120× | 0s: 1s: 2s: 3s: 16× 1,935× 1,830× 3,600× | 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: 1× 7,561× 3,717× 7,432× 7,422× 7,408× 7,390× 7,368× 7,342× 7,312× 7,278× 7,240× 7,198× 7,152× 7,102× 7,048× 6,990× 6,928× 6,862× 6,792× 6,718× 6,640× 6,558× 6,472× 6,382× 6,288× 6,190× 6,088× 5,982× 5,872× 5,758× 5,640× 5,518× 5,392× 5,262× 5,128× 4,990× 4,848× 4,702× 4,552× 4,398× 4,240× 4,078× 3,912× 3,742× 3,568× 3,390× 3,208× 3,022× 2,832× 2,638× 2,440× 2,238× 2,032× 1,822× 1,608× 1,390× 1,168× 942× 712× 478× 240× | 0s: 1s: 2s: 3s: 4s: 1× 2,303,480× 6,843,590× 230,460× 3,720× | 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: 1× 481,714× 411,921× 397,635× 878,692× 1,147,373× 1,660,113× 1,858,065× 2,691,261× 2,646,808× 3,419,847× 3,486,699× 4,242,610× 4,557,616× 5,071,901× 5,702,486× 5,942,144× 7,259,497× 6,960,268× 9,102,084× 8,075,806× 10,314,601× 9,126,940× 10,886,956× 10,171,962× 11,184,566× 10,020,510× 10,312,293× 9,099,731× 9,794,474× 8,019,519× 9,329,786× 6,972,261× 7,863,591× 6,360,459× 6,397,127× 5,119,846× 4,903,501× 3,505,729× 3,117,384× 2,142,048× 1,569,948× 1,085,091× 677,548× 355,037× 152,003× 49,823× 4,000× | 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: 1× 6,056,121× 15,844,149× 34,065,312× 25,453,114× 31,666,694× 21,584,004× 21,217,752× 20,182,629× 19,540,456× 20,594,217× 20,979,366× 23,361,154× 21,508,051× 24,330,913× 21,061,006× 23,275,643× 22,187,329× 23,758,840× 23,412,464× 21,691,351× 21,255,592× 21,322,458× 23,675,938× 21,648,138× 25,720,667× 27,624,864× 28,302,414× 25,004,022× 23,644,753× 22,459,088× 22,694,310× 20,216,950× 24,130,051× 25,562,417× 25,379,037× 23,988,313× 26,984,783× 25,846,154× 28,159,023× 32,370,776× 32,108,567× 32,461,604× 36,589,867× 38,296,277× 38,468,334× 31,729,957× 33,959,730× 38,291,566× 35,848,938× 34,879,597× 34,293,911× 38,847,308× 42,895,054× 38,639,018× 37,249,636× 34,519,670× 32,803,292× 33,315,968× 32,312,779× 29,532,068× 26,843,431× 28,098,881× 26,802,495× 30,511,710× 29,897,706× 29,682,946× 28,022,817× 29,350,851× 29,105,296× 26,990,552× 26,473,913× 27,407,569× 27,057,710× 27,713,345× 25,681,995× 24,268,112× 25,446,923× 24,395,140× 21,706,400× 22,416,593× 22,970,962× 22,867,279× 18,625,266× 20,025,696× 19,523,457× 17,312,547× 17,348,334× 18,343,851× 15,524,977× 15,914,064× 14,284,929× 14,950,036× 14,870,069× 14,328,408× 13,525,310× 14,531,082× 17,109,216× 16,480,598× 17,868,257× 18,593,968× 16,497,320× 15,779,697× 17,222,964× 17,361,028× 17,586,588× 13,400,915× 13,927,546× 14,452,306× 16,511,596× 16,542,492× 16,871,218× 16,236,534× 16,843,189× 16,351,624× 16,609,302× 19,481,582× 20,208,019× 21,956,895× 22,997,515× 20,163,536× 18,216,816× 20,159,453× 17,255,813× 19,556,447× 18,982,143× 18,556,723× 17,558,534× 19,626,174× 17,543,360× 16,603,911× 15,951,817× 16,442,171× 17,980,678× 17,968,790× 16,048,275× 15,517,422× 14,850,860× 16,206,537× 15,148,835× 15,780,172× 15,202,582× 18,506,684× 19,088,379× 16,948,973× 15,795,459× 11,619,577× 11,309,084× 10,607,240× 11,557,262× 9,738,974× 8,704,764× 10,391,835× 12,085,989× 10,869,535× 12,530,084× 13,467,635× 14,628,342× 14,306,893× 14,194,904× 15,963,201× 18,809,378× 15,756,884× 15,431,493× 15,579,551× 15,308,390× 18,206,276× 17,501,635× 15,680,256× 15,133,081× 14,924,123× 13,292,643× 14,195,928× 13,450,660× 14,302,775× 15,738,057× 10,734,721× 9,052,119× 7,707,326× 7,951,169× 7,368,131× 9,389,340× 10,405,986× 10,881,009× 10,436,356× 8,222,804× 7,503,742× 8,416,806× 8,891,953× 8,884,870× 8,568,303× 8,374,165× 8,102,372× 9,985,059× 11,007,336× 10,169,770× 8,371,059× 5,428,175× 5,517,562× 6,664,689× 6,667,090× 6,583,771× 6,877,826× 7,105,421× 8,188,319× 9,034,780× 7,758,879× 7,343,463× 6,845,563× 8,424,248× 7,801,122× 7,108,915× 6,559,752× 7,660,976× 7,712,899× 8,928,628× 9,673,327× 8,926,703× 11,917,480× 9,829,745× 9,017,254× 8,012,462× 7,984,999× 6,708,038× 6,938,237× 7,557,932× 8,759,396× 6,886,679× 6,444,054× 6,511,879× 7,581,541× 7,741,635× 7,741,909× 6,036,283× 7,204,881× 5,782,254× 5,787,080× 4,907,046× 4,067,797× 3,806,682× 4,569,519× 4,651,373× 4,947,472× 5,284,652× 4,219,800× 3,674,311× 4,515,778× 6,426,201× 7,573,832× 8,491,498× 8,908,241× 7,660,717× 7,513,423× 8,546,314× 8,214,000× 8,397,733× 7,579,654× 7,835,106× 6,786,006× 7,320,599× 5,571,766× 5,204,916× 4,946,371× 3,709,625× 4,854,801× 3,922,533× 3,226,016× 2,763,968× 2,601,999× 2,794,745× 2,706,946× 3,171,856× 2,990,875× 3,177,251× 3,096,858× 2,957,004× 3,423,013× 3,314,386× 1,876,459× 1,765,122× 1,560,357× 1,837,224× 2,283,800× 2,630,886× 3,584,487× 3,832,860× 4,242,793× 3,934,814× 3,852,892× 4,571,978× 4,812,496× 6,016,420× 5,622,410× 6,412,411× 6,111,722× 6,360,005× 5,612,300× 4,896,252× 6,236,438× 5,441,119× 5,382,475× 5,457,510× 3,726,406× 4,229,455× 3,095,304× 3,639,222× 3,561,977× 3,128,667× 3,846,065× 3,469,363× 3,601,831× 5,202,185× 5,156,741× 4,547,901× 4,644,978× 5,244,953× 4,772,409× 5,703,444× 3,195,414× 3,520,201× 3,024,550× 3,744,469× 3,888,883× 2,945,616× 2,766,616× 3,895,907× 4,633,529× 5,336,280× 5,672,438× 4,448,348× 3,389,712× 3,381,879× 3,283,115× 4,835,889× 4,043,377× 3,163,526× 2,035,108× 2,666,640× 2,514,181× 2,718,099× 3,001,141× 2,633,286× 1,625,828× 1,331,427× 1,995,549× 2,080,526× 2,191,191× 1,942,553× 1,263,702× 1,109,197× 1,313,454× 2,447,890× 3,183,289× 3,140,804× 3,322,876× 3,043,887× 3,195,710× 3,311,613× 3,200,627× 3,598,242× 3,286,244× 3,257,152× 2,898,819× 3,142,536× 3,818,858× 2,236,054× 3,088,578× 3,756,457× 3,690,597× 3,342,762× 3,113,989× 2,110,933× 2,462,338× 4,070,861× 4,917,832× 4,594,726× 3,994,874× 4,831,078× 5,693,740× 4,995,583× 5,179,228× 4,659,129× 3,526,356× 3,341,248× 4,133,272× 4,270,833× 6,015,394× 6,635,723× 7,661,418× 6,097,418× 4,943,978× 5,486,177× 4,924,333× 5,057,762× 5,442,555× 3,512,636× 3,201,382× 2,211,724× 3,141,956× 3,539,635× 3,460,791× 3,111,713× 2,622,735× 1,793,279× 1,454,706× 1,107,873× 1,438,347× 1,036,595× 1,586,350× 1,504,132× 1,119,113× 1,570,683× 813,423× 1,002,037× 1,011,599× 1,349,841× 664,927× 380,979× 987,283× 1,007,132× 968,114× 1,281,464× 1,088,066× 915,687× 799,340× 487,760× 314,644× 290,880× 192,269× 73,451× 18,300× |