| 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 Cycle Start | 0.98 step avg | 2.20 step avg | 13.32 step avg | 1.81 step avg | 13.57 step avg | 13.99 step avg | 17.02 step avg | 26.66 step avg |
| Step Frequency Cycle Start | 0s: 1s: 1× 64× | 0s: 1s: 2s: 3s: 9× 584× 528× 1,024× | 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× 2,241× 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: 1× 196,480× 579,920× 36,896× 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: 1× 44,504× 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: 1× 219,808× 785,051× 2,430,042× 1,347,549× 1,236,611× 2,225,934× 3,741,314× 5,780,796× 8,793,858× 13,144,342× 6,273,748× 5,154,575× 6,880,793× 7,707,120× 10,181,223× 12,724,472× 15,934,017× 6,899,213× 4,705,841× 3,348,128× 2,174,394× 2,304,592× 1,624,167× 1,428,477× 1,143,852× 836,208× 477,438× 400,441× 382,575× 163,671× 204,376× 120,983× 66,690× 81,770× 75,643× 36,813× 15,513× 11,344× 15,230× 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: 1× 659,744× 1,489,528× 3,669,693× 7,942,137× 13,784,329× 19,749,455× 24,154,561× 34,560,753× 43,622,601× 53,381,554× 64,573,082× 72,431,372× 78,481,336× 86,106,909× 84,235,611× 89,352,172× 77,216,042× 70,641,065× 68,840,058× 59,610,031× 49,902,970× 47,526,528× 41,037,021× 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: 1× 594,312× 2,509,759× 10,884,454× 18,030,804× 24,813,871× 46,101,566× 91,213,825× 179,645,248× 410,085,572× 477,945,657× 395,393,956× 353,294,947× 463,181,759× 552,468,205× 322,626,214× 269,723,015× 331,956,648× 302,072,125× 302,874,821× 366,883,045× 339,356,855× 310,990,778× 354,759,337× 358,099,110× 275,965,525× 292,337,818× 273,919,278× 248,712,145× 224,015,975× 218,193,748× 191,910,405× 182,525,109× 190,351,001× 193,055,345× 222,484,735× 273,550,459× 271,930,908× 249,499,033× 186,855,492× 169,941,913× 120,329,223× 160,766,336× 152,937,681× 100,494,720× 111,507,049× 88,865,464× 96,622,482× 90,867,308× 75,685,847× 90,674,832× 82,567,221× 70,147,514× 74,124,270× 86,116,677× 72,138,266× 53,408,396× 38,658,932× 54,741,016× 30,337,632× 27,746,947× 37,801,561× 31,397,848× 30,177,911× 33,873,225× 27,083,044× 26,410,863× 30,788,673× 15,113,282× 23,710,008× 15,026,467× 9,620,475× 9,018,426× 10,925,390× 6,825,239× 3,443,310× 4,889,142× 7,786,333× 3,674,289× 2,954,031× 2,879,454× 2,151,346× 1,366,627× 900,988× 645,174× 126,614× 171,104× 314,338× 446,752× 1,845× |