| 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 Full Cycle | 1.99 step avg | 7.22 step avg | 29.98 step avg | 60.47 step avg | 31.24 step avg |
| Step Frequency Full Cycle | 0s: 1s: 2s: 0× 1× 142× | 0s: 1s: 2s: 3s: 4s: 5s: 6s: 7s: 8s: 9s: 0× 2× 236× 119× 504× 773× 1,562× 1,988× 1,704× 3,408× | 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: 0× 1× 142× 10,367× 5,180× 10,358× 10,348× 10,334× 10,316× 10,294× 10,268× 10,238× 10,204× 10,166× 10,124× 10,078× 10,028× 9,974× 9,916× 9,854× 9,788× 9,718× 9,644× 9,566× 9,484× 9,398× 9,308× 9,214× 9,116× 9,014× 8,908× 8,798× 8,684× 8,566× 8,444× 8,318× 8,188× 8,054× 7,916× 7,774× 7,628× 7,478× 7,324× 7,166× 7,004× 6,838× 6,668× 6,494× 6,316× 6,134× 5,948× 5,758× 5,564× 5,366× 5,164× 4,958× 4,748× 4,534× 4,316× 4,094× 3,868× 3,638× 3,404× 3,166× 2,924× 2,678× 2,428× 2,174× 1,916× 1,654× 1,388× 1,118× 844× 566× 284× | 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: 0× 1× 142× 0× 6,930× 15,675× 24,180× 79,850× 62,700× 0× 0× 0× 0× 0× 0× 0× 0× 0× 0× 0× 0× 0× 0× 0× 0× 0× 0× 0× 0× 0× 0× 120,570× 325,984× 935× 0× 0× 0× 0× 0× 0× 0× 0× 0× 0× 0× 0× 0× 0× 0× 0× 0× 0× 0× 0× 0× 0× 0× 0× 0× 0× 0× 4,293,600× 12,845,716× 382,394× 5,183× | 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: 0× 1× 142× 0× 0× 451,392× 448,762× 636,692× 1,377,932× 1,964,628× 3,004,582× 3,366,865× 4,841,168× 4,273,657× 7,296,955× 6,118,014× 9,545,466× 7,050,825× 11,841,509× 7,976,912× 14,153,944× 8,883,267× 16,452,711× 9,931,269× 18,958,741× 12,638,507× 21,542,886× 16,529,673× 23,906,605× 18,415,844× 23,573,349× 17,833,861× 21,949,082× 16,674,391× 21,167,914× 15,500,203× 20,628,668× 14,289,338× 18,674,913× 13,512,638× 15,929,748× 12,790,928× 13,608,017× 11,001,486× 11,328,397× 9,383,068× 8,839,033× 7,537,381× 6,625,628× 5,686,467× 4,672,822× 3,814,341× 2,736,491× 1,860,108× 1,218,077× 886,797× 513,715× 171,674× |