| 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 |
| 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 | 8 |
|---|---|---|---|---|---|---|---|---|
| Average Steps Full Cycle | 1.98 step avg | 6.78 step avg | 15.32 step avg | 7.70 step avg | 17.57 step avg | 23.43 step avg | 19.19 step avg | 29.98 step avg |
| Step Frequency Full Cycle | 0s: 1s: 2s: 0× 1× 64× | 0s: 1s: 2s: 3s: 4s: 5s: 6s: 7s: 8s: 0× 2× 106× 53× 64× 7× 478× 475× 960× | 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: 0× 1× 64× 2,177× 1,085× 2,168× 2,158× 2,144× 2,126× 2,104× 2,078× 2,048× 2,014× 1,976× 1,934× 1,888× 1,838× 1,784× 1,726× 1,664× 1,598× 1,528× 1,454× 1,376× 1,294× 1,208× 1,118× 1,024× 926× 824× 718× 608× 494× 376× 254× 128× | 0s: 1s: 2s: 3s: 4s: 5s: 6s: 7s: 8s: 9s: 10s: 0× 1× 766× 1,079× 5,394× 17,097× 2,441× 190,320× 561,744× 34,455× 1,088× | 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: 0× 1× 64× 0× 0× 44,440× 55,278× 69,320× 157,076× 215,920× 342,650× 369,403× 551,168× 509,991× 793,048× 839,767× 1,002,593× 774,214× 916,269× 698,186× 760,053× 631,855× 564,483× 495,478× 410,618× 341,022× 238,108× 162,378× 110,165× 98,210× 64,891× 21,864× | 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: 0× 1× 64× 0× 0× 0× 103,776× 355,025× 1,219,533× 706,671× 1,005,353× 1,458,317× 2,267,628× 3,499,877× 5,192,218× 8,512,180× 4,441,861× 4,737,013× 5,124,400× 5,793,829× 7,730,781× 9,679,612× 12,176,619× 4,780,060× 6,007,241× 3,821,813× 2,265,713× 2,508,520× 2,418,411× 3,074,793× 3,996,794× 4,686,495× 2,578,396× 1,607,651× 2,035,289× 1,911,969× 2,525,070× 2,865,473× 3,445,125× 2,530,087× 630,625× 748,870× 462,340× 607,586× 371,763× 296,995× 268,882× 117,484× 86,786× 111,769× 133,814× 46,289× 44,519× 12,471× 6,272× 21,332× 20,347× 7,060× 2,609× 2,238× 14,904× 37,372× | 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: 0× 1× 64× 330,080× 842,400× 2,548,020× 6,410,856× 11,958,188× 16,971,004× 22,133,297× 31,600,094× 39,714,819× 50,973,652× 60,988,336× 72,019,128× 80,005,326× 85,079,099× 87,905,424× 93,668,744× 80,844,907× 76,283,410× 71,948,748× 61,171,950× 50,752,144× 47,771,167× 41,047,695× 41,061,538× 38,870,100× 37,060,067× 36,702,479× 26,588,469× 18,558,571× 10,833,068× 8,563,936× 6,858,944× 5,934,319× 2,607,317× 1,846,575× 859,597× 381,061× 109,981× 86,130× | 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: 0× 1× 35,776× 208,656× 1,157,072× 4,514,316× 6,576,836× 16,348,293× 45,559,954× 120,414,482× 280,591,275× 365,218,738× 361,870,791× 327,579,076× 438,994,973× 510,188,137× 295,381,506× 247,754,799× 306,215,142× 276,214,567× 284,445,754× 345,817,853× 319,810,612× 277,707,444× 286,010,919× 293,331,943× 292,807,972× 332,594,393× 381,180,459× 335,920,856× 230,893,865× 201,572,204× 186,331,613× 207,701,813× 181,004,097× 163,527,747× 230,277,654× 278,021,306× 269,745,467× 251,111,884× 186,838,088× 195,142,792× 194,913,914× 241,780,702× 167,805,197× 113,148,232× 124,263,419× 103,836,998× 113,999,074× 123,676,837× 93,589,302× 103,751,125× 114,758,857× 116,007,037× 84,222,137× 99,803,333× 89,152,274× 70,346,011× 66,112,449× 74,749,056× 39,371,220× 38,049,599× 49,852,700× 35,333,194× 37,196,415× 42,419,800× 35,139,278× 34,809,157× 41,731,947× 18,606,660× 27,729,255× 20,443,522× 17,245,137× 16,578,163× 15,063,971× 11,641,068× 5,280,822× 6,480,045× 11,153,507× 6,877,711× 4,846,800× 5,264,787× 4,609,588× 3,366,726× 2,113,437× 1,774,766× 1,045,463× 704,797× 695,067× 665,988× 227,903× 140,318× 20,455× |