| 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 Cycle Start | 0.99 step avg | 1.48 step avg | 22.28 step avg | 2.84 step avg | 21.38 step avg | 73.08 step avg |
| Step Frequency Cycle Start | 0s: 1s: 1× 109× | 0s: 1s: 2s: 29× 3,106× 2,970× | 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: 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: 1× 393,229× 1,100,034× 4,401,540× 276,354× 244,257× 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: 1× 217,177× 223,658× 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: 1× 7,889,291× 21,721,110× 17,759,387× 19,839,419× 23,339,246× 25,467,485× 25,305,861× 21,792,347× 21,511,544× 22,910,496× 23,432,953× 21,692,537× 23,340,341× 22,565,072× 20,974,834× 22,295,512× 23,628,544× 24,201,186× 25,150,559× 24,218,324× 25,506,877× 26,347,326× 25,196,337× 25,372,841× 23,740,601× 20,965,662× 21,127,927× 20,746,640× 19,783,503× 21,663,588× 23,042,298× 24,512,869× 23,187,179× 21,004,978× 22,532,793× 22,479,894× 23,112,672× 20,972,551× 20,921,350× 21,262,195× 22,898,558× 21,610,007× 19,866,734× 21,109,556× 20,971,190× 20,584,891× 21,816,306× 18,844,334× 19,512,783× 19,665,052× 18,889,966× 18,228,932× 19,109,815× 19,780,305× 18,282,918× 18,553,169× 19,627,339× 17,953,352× 16,589,316× 18,373,237× 17,927,223× 16,028,469× 16,463,320× 16,836,367× 17,808,103× 18,562,226× 19,092,942× 18,233,697× 18,910,240× 18,085,750× 19,584,776× 17,916,357× 17,506,655× 17,929,613× 18,885,474× 16,790,605× 16,875,146× 16,192,917× 16,578,504× 17,166,993× 17,699,714× 20,332,724× 20,084,806× 22,110,307× 20,952,247× 22,177,529× 21,829,436× 20,668,880× 19,807,617× 20,837,735× 23,452,439× 23,101,072× 22,741,081× 23,022,138× 23,635,989× 21,011,661× 20,777,929× 22,139,844× 21,966,630× 20,902,288× 18,659,908× 18,753,103× 17,210,340× 16,403,282× 16,575,406× 16,851,719× 16,183,482× 15,987,265× 16,825,406× 15,978,354× 13,998,643× 12,169,025× 12,478,733× 12,795,243× 12,504,693× 12,699,287× 12,592,758× 12,898,091× 11,585,031× 11,606,186× 11,080,060× 10,324,807× 10,251,931× 10,939,043× 10,723,940× 10,389,073× 10,083,308× 10,122,271× 10,742,639× 11,223,414× 11,443,176× 10,456,218× 11,309,896× 9,645,858× 9,725,194× 8,916,047× 7,458,021× 7,037,376× 7,217,138× 7,090,016× 7,272,309× 7,293,132× 7,380,640× 6,825,048× 6,683,072× 7,009,258× 7,642,439× 7,155,833× 6,363,673× 5,875,881× 6,002,353× 5,507,199× 5,491,911× 5,181,686× 5,054,977× 4,643,145× 4,229,013× 3,337,158× 3,429,425× 2,870,210× 2,469,644× 2,452,916× 2,490,191× 3,473,736× 2,967,558× 3,324,389× 2,665,710× 1,957,303× 2,201,203× 2,283,010× 2,233,829× 2,380,121× 2,289,052× 2,242,293× 2,171,072× 2,070,767× 2,202,122× 1,775,082× 2,243,168× 1,964,681× 2,203,992× 1,840,779× 1,389,271× 1,518,655× 1,207,149× 1,420,890× 1,412,029× 1,139,923× 1,161,063× 1,597,187× 1,303,579× 1,460,328× 1,410,738× 1,894,915× 1,951,459× 1,348,002× 852,263× 997,523× 1,132,662× 1,546,419× 1,799,947× 2,403,222× 1,776,436× 1,651,066× 1,408,597× 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× |