| 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 |
| б | в | г | д | е | ж | з | и | й | к | л | м | н | о | п | р |
| 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 Full Cycle | 1.99 step avg | 18.67 step avg | 31.17 step avg | 14.48 step avg | 32.85 step avg |
| Step Frequency Full Cycle | 0s: 1s: 2s: 0× 1× 151× | 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: 0× 2× 251× 51× 238× 854× 568× 0× 8× 1,176× 1,232× 0× 0× 0× 0× 0× 0× 0× 0× 0× 0× 0× 0× 0× 24× 3,592× 3,632× | 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: 0× 1× 6,003× 5,850× 11,698× 11,690× 11,678× 11,662× 11,642× 11,618× 11,590× 11,558× 11,522× 11,482× 11,438× 11,390× 11,338× 11,282× 11,222× 11,158× 11,090× 11,018× 10,942× 10,862× 10,778× 10,690× 10,598× 10,502× 10,402× 10,298× 10,190× 10,078× 9,962× 9,842× 9,718× 9,590× 9,458× 9,322× 9,182× 9,038× 8,890× 8,738× 8,582× 8,422× 8,258× 8,090× 7,918× 7,742× 7,562× 7,378× 7,190× 6,998× 6,802× 6,602× 6,398× 6,190× 5,978× 5,762× 5,542× 5,318× 5,090× 4,858× 4,622× 4,382× 4,138× 3,890× 3,638× 3,382× 3,122× 2,858× 2,590× 2,318× 2,042× 1,762× 1,478× 1,190× 898× 602× 302× | 0s: 1s: 2s: 3s: 4s: 5s: 6s: 7s: 8s: 9s: 10s: 11s: 12s: 13s: 14s: 15s: 16s: 17s: 18s: 19s: 20s: 21s: 22s: 0× 1× 151× 0× 0× 0× 0× 0× 0× 0× 86,400× 212,832× 853,632× 3,414,528× 13,658,112× 638,464× 572,896× 1,070,368× 2,061,022× 105,888× 70,100× 130,772× 254,864× | 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× 151× 17,402× 5,852× 540,804× 530,356× 758,186× 1,635,380× 2,337,096× 3,562,462× 4,002,262× 5,732,540× 5,079,478× 8,641,138× 7,268,946× 11,303,868× 8,384,652× 14,032,472× 9,498,584× 16,793,434× 10,596,870× 19,554,318× 11,665,782× 22,283,768× 13,431,688× 25,554,584× 17,459,486× 28,525,328× 22,016,506× 30,972,282× 23,408,274× 29,644,828× 22,393,614× 27,921,310× 21,016,432× 26,837,952× 19,474,090× 26,526,942× 18,067,224× 24,022,130× 17,229,744× 20,778,882× 16,415,766× 17,777,502× 14,420,474× 15,269,678× 12,347,842× 12,134,050× 10,328,296× 9,409,534× 8,001,036× 6,807,358× 5,707,692× 4,487,304× 3,414,842× 2,252,712× 1,544,086× 1,004,614× 569,224× 246,130× 11,698× |