| 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 |
| 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 | 7 |
|---|---|---|---|---|---|---|---|
| Average Steps Cycle Start | 0.99 step avg | 1.48 step avg | 18.15 step avg | 6.14 step avg | 18.13 step avg | 47.87 step avg | 15.87 step avg |
| Step Frequency Cycle Start | 0s: 1s: 1× 87× | 0s: 1s: 2s: 23× 2,001× 1,892× | 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: 1× 2,067× 1,978× 3,954× 3,946× 3,934× 3,918× 3,898× 3,874× 3,846× 3,814× 3,778× 3,738× 3,694× 3,646× 3,594× 3,538× 3,478× 3,414× 3,346× 3,274× 3,198× 3,118× 3,034× 2,946× 2,854× 2,758× 2,658× 2,554× 2,446× 2,334× 2,218× 2,098× 1,974× 1,846× 1,714× 1,578× 1,438× 1,294× 1,146× 994× 838× 678× 514× 346× 174× | 0s: 1s: 2s: 3s: 4s: 5s: 6s: 7s: 8s: 9s: 10s: 11s: 12s: 13s: 1× 9,367× 20,080× 80,960× 323,840× 1,295,360× 109,696× 98,544× 187,332× 354,214× 36,304× 23,972× 44,656× 88,344× | 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: 1× 194,315× 180,690× 161,938× 365,344× 469,388× 692,300× 761,266× 1,115,786× 1,085,622× 1,407,342× 1,468,806× 1,766,992× 2,121,552× 2,100,276× 2,677,576× 2,420,600× 2,942,288× 2,915,562× 3,111,092× 2,801,030× 2,876,126× 2,375,428× 2,685,982× 2,004,654× 2,135,652× 1,576,666× 1,509,198× 1,023,884× 887,390× 555,908× 389,218× 237,564× 110,708× 37,460× 11,524× | 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: 1× 3,181,606× 8,039,834× 7,017,637× 7,602,510× 11,567,967× 12,585,106× 14,235,596× 14,816,467× 13,956,458× 14,173,798× 13,875,816× 13,050,812× 12,521,105× 12,416,718× 12,340,449× 11,971,341× 11,224,074× 10,999,560× 11,196,574× 12,187,594× 11,268,240× 12,205,940× 10,972,042× 11,572,415× 10,737,500× 11,017,585× 11,620,332× 12,736,219× 12,546,200× 12,067,852× 10,785,345× 9,351,009× 10,413,811× 9,690,348× 9,045,924× 7,548,030× 7,603,011× 6,614,106× 6,821,166× 6,730,037× 6,673,627× 6,777,373× 6,377,710× 7,083,762× 7,019,925× 7,561,532× 6,606,281× 6,441,483× 6,663,080× 6,379,559× 6,605,446× 6,765,746× 6,254,127× 6,624,974× 6,534,761× 4,983,330× 4,123,304× 4,574,707× 3,655,512× 3,610,621× 3,297,564× 2,794,946× 3,262,500× 3,359,185× 3,453,246× 3,968,542× 4,457,540× 4,223,974× 4,653,691× 4,614,469× 4,127,963× 4,274,751× 4,392,455× 4,088,287× 3,806,996× 3,625,667× 4,135,424× 4,443,287× 3,666,416× 3,048,074× 3,151,235× 2,753,271× 2,621,640× 2,781,866× 2,826,909× 2,552,022× 2,433,386× 2,699,258× 3,223,867× 3,381,446× 3,692,857× 3,896,631× 3,506,711× 3,290,919× 3,728,315× 3,171,417× 3,083,978× 2,648,194× 2,282,072× 2,326,155× 2,284,119× 2,033,544× 2,208,357× 1,755,521× 1,708,546× 1,964,546× 1,563,702× 1,646,728× 1,910,738× 1,877,073× 2,452,901× 1,706,496× 1,644,260× 1,499,452× 929,436× 887,506× 727,758× 511,590× 543,770× 411,289× 421,846× 400,164× 407,763× 509,617× 400,027× 397,360× 249,652× 267,364× 154,988× 182,900× 114,932× 232,060× 160,516× 187,570× 238,900× 147,350× 227,146× 216,212× 217,048× 212,674× 363,830× 343,550× 423,466× 533,676× 601,786× 504,200× 515,276× 213,646× 298,442× 109,458× 173,826× 140,830× 85,002× 164,960× 70,202× 78,222× 97,816× 156,710× 145,668× 200,530× 193,694× 46,980× 144,928× 70,308× 105,940× 186,700× 236,724× 340,263× 353,815× 345,572× 461,676× 590,204× 612,742× 532,764× 444,766× 466,398× 311,060× 268,648× 324,372× 284,288× 227,218× 306,186× 262,276× 166,684× 499,084× 328,957× 433,883× 340,595× 324,750× 409,344× 452,318× 501,428× 861,946× 1,011,214× 1,342,828× 1,103,385× 772,947× 838,446× 693,196× 950,692× 749,580× 996,835× 1,038,734× 977,908× 808,592× 657,040× 687,648× 744,370× 697,222× 862,806× 815,460× 723,344× 775,406× 549,650× 376,554× 325,860× 289,404× 305,450× 343,576× 217,224× 293,266× 241,280× 181,440× 69,918× 81,068× 79,992× | 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: 1× 5,315,947× 13,449,940× 36,840,626× 60,145,980× 101,031,140× 132,201,224× 180,563,834× 264,597,462× 322,131,870× 394,308,132× 494,142,478× 566,593,546× 643,223,070× 726,759,294× 804,221,406× 778,271,072× 707,452,206× 765,020,396× 721,503,518× 631,263,542× 532,188,564× 460,528,152× 339,305,342× 228,547,090× 150,298,812× 86,174,724× 51,913,084× 23,301,710× 10,850,492× 3,151,476× 337,704× 230,884× 3,210× |