| 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 |
| Б | В | Г | Д | Е | Ж | З | И | Й | К | Л | М | Н | О | П | Р |
| С | Т | У | Ф | Х | Ц | Ч | Ш | Щ | Ъ | Ы | Ь | Э | Ю | Я | 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 |
|---|---|---|---|---|---|
| Average Steps Cycle Start | 0.99 step avg | 2.23 step avg | 27.60 step avg | 1.78 step avg | 29.32 step avg |
| Step Frequency Cycle Start | 0s: 1s: 1× 140× | 0s: 1s: 2s: 3s: 19× 2,607× 2,485× 4,900× | 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: 1× 10,221× 5,037× 10,072× 10,062× 10,048× 10,030× 10,008× 9,982× 9,952× 9,918× 9,880× 9,838× 9,792× 9,742× 9,688× 9,630× 9,568× 9,502× 9,432× 9,358× 9,280× 9,198× 9,112× 9,022× 8,928× 8,830× 8,728× 8,622× 8,512× 8,398× 8,280× 8,158× 8,032× 7,902× 7,768× 7,630× 7,488× 7,342× 7,192× 7,038× 6,880× 6,718× 6,552× 6,382× 6,208× 6,030× 5,848× 5,662× 5,472× 5,278× 5,080× 4,878× 4,672× 4,462× 4,248× 4,030× 3,808× 3,582× 3,352× 3,118× 2,880× 2,638× 2,392× 2,142× 1,888× 1,630× 1,368× 1,102× 832× 558× 280× | 0s: 1s: 2s: 3s: 4s: 1× 4,229,610× 12,581,555× 362,670× 5,040× | 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× 108,428× 134,189× 241,946× 514,826× 867,996× 1,467,480× 1,898,724× 2,692,532× 2,597,754× 4,631,264× 4,524,453× 6,652,346× 5,396,429× 8,760,270× 6,278,291× 10,922,972× 7,157,043× 13,109,468× 8,019,833× 15,367,582× 9,549,370× 17,777,756× 12,144,901× 20,041,063× 14,642,680× 21,449,370× 15,590,793× 21,378,729× 16,224,445× 21,380,307× 15,667,919× 20,716,585× 14,645,255× 19,262,664× 13,702,075× 17,362,374× 12,962,804× 15,549,444× 11,577,169× 13,424,389× 10,109,559× 10,838,777× 8,807,777× 8,621,395× 6,978,555× 6,462,529× 5,239,240× 4,415,937× 3,365,840× 2,654,881× 1,929,053× 1,245,038× 699,125× 313,053× 98,958× 13,768× |