| 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 |
| с | т | у | ф | х | ц | ч | ш | щ | ъ | ы | ь | э | ю | я | ァ |
| ア | ィ | イ | ゥ | ウ | ェ | エ | ォ | オ | カ | ガ | キ | ギ | ク | グ | ケ |
| 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 | 34.36 step avg | 1.77 step avg | 35.82 step avg |
| Step Frequency Cycle Start | 0s: 1s: 1× 176× | 0s: 1s: 2s: 3s: 23× 4,070× 3,916× 7,744× | 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× 16,017× 7,917× 15,832× 15,822× 15,808× 15,790× 15,768× 15,742× 15,712× 15,678× 15,640× 15,598× 15,552× 15,502× 15,448× 15,390× 15,328× 15,262× 15,192× 15,118× 15,040× 14,958× 14,872× 14,782× 14,688× 14,590× 14,488× 14,382× 14,272× 14,158× 14,040× 13,918× 13,792× 13,662× 13,528× 13,390× 13,248× 13,102× 12,952× 12,798× 12,640× 12,478× 12,312× 12,142× 11,968× 11,790× 11,608× 11,422× 11,232× 11,038× 10,840× 10,638× 10,432× 10,222× 10,008× 9,790× 9,568× 9,342× 9,112× 8,878× 8,640× 8,398× 8,152× 7,902× 7,648× 7,390× 7,128× 6,862× 6,592× 6,318× 6,040× 5,758× 5,472× 5,182× 4,888× 4,590× 4,288× 3,982× 3,672× 3,358× 3,040× 2,718× 2,392× 2,062× 1,728× 1,390× 1,048× 702× 352× | 0s: 1s: 2s: 3s: 4s: 1× 10,448,064× 31,128,284× 712,536× 7,920× | 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: 1× 212,576× 253,409× 465,146× 980,426× 1,663,092× 2,782,224× 3,629,556× 5,070,020× 4,955,874× 8,715,896× 8,614,545× 12,490,226× 10,286,609× 16,447,302× 11,996,351× 20,545,556× 13,727,319× 24,744,500× 15,463,205× 29,004,726× 17,187,845× 33,287,906× 18,885,219× 37,556,792× 21,174,022× 41,939,572× 25,248,231× 47,207,004× 31,151,486× 51,582,019× 36,814,888× 54,619,824× 38,961,968× 53,768,278× 40,492,990× 53,493,700× 39,618,033× 51,734,246× 37,546,582× 50,555,331× 35,320,901× 47,943,132× 33,176,287× 44,302,958× 31,824,820× 40,651,399× 30,020,596× 35,973,265× 27,343,465× 31,592,817× 24,848,569× 26,658,524× 21,467,835× 22,167,368× 17,880,014× 17,343,823× 14,344,714× 12,946,461× 10,535,083× 8,970,673× 6,900,270× 5,359,367× 3,840,980× 2,465,093× 1,420,426× 679,112× 243,790× 48,104× |