| 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 | 7 |
|---|---|---|---|---|---|---|---|
| Average Steps Cycle Start | 0.99 step avg | 3.06 step avg | 19.71 step avg | 1.79 step avg | 21.79 step avg | 32.19 step avg | 22.48 step avg |
| Step Frequency Cycle Start | 0s: 1s: 1× 98× | 0s: 1s: 2s: 3s: 4s: 7× 704× 613× 1,274× 2,352× | 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: 1× 5,097× 2,496× 4,990× 4,980× 4,966× 4,948× 4,926× 4,900× 4,870× 4,836× 4,798× 4,756× 4,710× 4,660× 4,606× 4,548× 4,486× 4,420× 4,350× 4,276× 4,198× 4,116× 4,030× 3,940× 3,846× 3,748× 3,646× 3,540× 3,430× 3,316× 3,198× 3,076× 2,950× 2,820× 2,686× 2,548× 2,406× 2,260× 2,110× 1,956× 1,798× 1,636× 1,470× 1,300× 1,126× 948× 766× 580× 390× 196× | 0s: 1s: 2s: 3s: 4s: 1× 1,038,898× 3,078,376× 129,801× 2,499× | 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: 1× 38,246× 50,791× 88,562× 191,482× 319,308× 549,136× 700,240× 1,016,256× 958,270× 1,743,372× 1,670,231× 2,500,870× 1,977,867× 3,272,634× 2,439,026× 4,157,238× 3,322,044× 4,857,195× 3,681,644× 4,973,801× 3,808,209× 4,987,507× 3,830,508× 4,917,775× 3,580,611× 4,247,810× 3,218,344× 3,659,949× 2,709,940× 2,901,127× 2,301,279× 2,145,679× 1,728,884× 1,518,780× 1,144,289× 900,072× 663,530× 427,688× 227,796× 91,259× 21,995× | 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: 1× 4,816,499× 11,958,313× 26,346,538× 66,120,826× 30,371,083× 32,715,710× 34,358,333× 33,819,120× 32,953,364× 28,852,884× 30,037,470× 32,652,613× 34,583,102× 32,662,590× 28,623,737× 27,164,061× 27,316,898× 27,221,422× 26,995,218× 28,858,996× 30,142,423× 26,808,348× 25,279,438× 24,906,683× 22,326,364× 21,780,881× 21,674,612× 20,780,899× 21,151,837× 16,841,287× 17,708,652× 16,465,392× 16,695,231× 16,384,590× 19,675,288× 18,557,077× 16,773,925× 15,047,887× 17,878,929× 18,250,561× 18,282,729× 18,819,404× 18,072,168× 17,480,390× 19,306,269× 18,268,520× 16,562,815× 16,498,736× 18,889,973× 18,393,998× 17,084,063× 16,995,661× 16,740,718× 20,172,828× 16,601,488× 14,844,753× 14,405,289× 16,656,880× 12,954,424× 13,931,779× 11,413,714× 9,205,886× 7,656,382× 6,925,663× 7,658,108× 7,455,910× 8,973,862× 9,138,794× 7,310,772× 6,623,575× 4,921,146× 3,788,950× 4,522,826× 3,381,464× 2,783,233× 3,589,705× 3,970,757× 3,551,006× 3,352,035× 1,994,485× 1,258,984× 1,384,299× 1,317,550× 1,011,078× 710,603× 1,290,093× 1,014,895× 924,704× 631,134× 511,792× 677,355× 971,755× 1,851,758× 2,259,995× 3,193,496× 2,255,024× 1,873,232× 3,017,744× 3,849,830× 2,835,607× 2,901,319× 2,308,501× 2,297,476× 1,763,036× 1,712,193× 1,693,369× 1,013,361× 1,325,612× 1,204,699× 669,684× 876,431× 1,314,423× 608,006× 345,345× 329,838× 353,274× 353,550× 210,054× 229,430× 134,112× 151,214× 5,485× | 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× 3,354,010× 7,898,000× 25,237,409× 39,181,355× 67,015,409× 99,446,633× 148,641,980× 206,304,383× 266,718,535× 344,624,469× 424,408,479× 509,484,747× 609,825,007× 722,363,396× 847,875,926× 928,943,562× 966,389,395× 1,080,754,372× 1,190,172,869× 1,235,503,152× 1,238,114,949× 1,251,454,176× 1,195,900,624× 1,121,852,898× 1,085,786,169× 911,360,920× 857,684,330× 722,351,099× 644,645,127× 512,655,075× 453,897,733× 378,602,670× 338,951,490× 320,190,373× 271,845,618× 270,123,212× 231,327,815× 229,146,331× 240,266,785× 216,162,488× 147,729,670× 137,238,186× 83,923,228× 72,508,945× 42,337,659× 34,374,606× 15,868,927× 8,962,659× 1,136,284× 177,157× 3,408× |