| 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 |
|---|---|---|---|---|---|---|---|
| Average Steps Cycle Start | 0.99 step avg | 3.04 step avg | 15.20 step avg | 1.80 step avg | 17.56 step avg | 34.79 step avg | 19.08 step avg |
| Step Frequency Cycle Start | 0s: 1s: 1× 74× | 0s: 1s: 2s: 3s: 4s: 6× 420× 352× 740× 1,332× | 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: 1× 2,961× 1,440× 2,878× 2,868× 2,854× 2,836× 2,814× 2,788× 2,758× 2,724× 2,686× 2,644× 2,598× 2,548× 2,494× 2,436× 2,374× 2,308× 2,238× 2,164× 2,086× 2,004× 1,918× 1,828× 1,734× 1,636× 1,534× 1,428× 1,318× 1,204× 1,086× 964× 838× 708× 574× 436× 294× 148× | 0s: 1s: 2s: 3s: 4s: 1× 345,950× 1,021,422× 57,609× 1,443× | 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: 1× 16,974× 24,079× 40,690× 89,082× 147,100× 256,160× 322,512× 475,328× 439,246× 809,468× 791,766× 1,178,717× 1,121,247× 1,467,537× 1,212,540× 1,564,272× 1,244,744× 1,614,009× 1,248,731× 1,430,010× 1,148,394× 1,190,136× 918,054× 919,474× 717,149× 634,035× 480,985× 399,413× 294,990× 191,861× 101,430× 38,193× 9,040× 148× | 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: 90s: 91s: 92s: 93s: 94s: 95s: 96s: 97s: 98s: 99s: 100s: 101s: 102s: 103s: 104s: 105s: 106s: 107s: 1× 926,205× 2,502,636× 5,214,397× 12,265,935× 6,168,537× 6,718,475× 6,671,675× 5,156,958× 5,432,231× 4,775,380× 4,625,001× 4,241,784× 4,384,540× 5,561,137× 5,064,056× 5,397,445× 3,972,509× 4,876,321× 4,852,763× 4,815,126× 4,597,895× 3,919,873× 3,609,742× 3,643,260× 4,109,475× 4,098,733× 4,177,416× 3,456,534× 3,485,105× 3,908,592× 4,750,381× 4,450,035× 3,748,502× 4,225,786× 5,218,220× 5,294,286× 5,061,707× 4,831,555× 4,184,692× 3,763,215× 4,784,759× 5,140,152× 4,637,736× 4,151,864× 3,973,987× 3,070,750× 3,095,317× 3,545,854× 3,774,372× 2,746,671× 2,805,100× 2,675,718× 2,767,452× 3,076,205× 2,553,115× 2,919,367× 2,875,476× 2,836,919× 2,573,301× 2,248,325× 1,965,897× 2,004,447× 1,749,159× 1,820,111× 1,761,036× 1,580,961× 1,769,706× 1,790,416× 1,883,975× 1,768,769× 2,498,204× 1,949,768× 1,476,809× 1,459,032× 1,687,171× 1,285,826× 1,018,391× 1,075,788× 1,121,451× 688,778× 972,676× 573,366× 318,178× 262,089× 294,605× 487,297× 811,147× 854,900× 952,882× 757,291× 709,207× 392,138× 410,002× 399,336× 753,626× 439,086× 461,278× 857,431× 938,729× 624,242× 504,650× 235,555× 289,597× 185,206× 137,658× 55,177× 56,600× | 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: 1× 1,140,010× 2,811,020× 7,506,193× 11,863,767× 20,011,264× 30,173,239× 43,240,947× 57,307,309× 75,309,330× 88,484,384× 111,252,317× 142,901,924× 169,826,713× 183,282,224× 206,671,127× 225,408,264× 226,375,460× 213,277,260× 212,466,246× 190,385,717× 186,125,096× 155,831,609× 120,552,760× 97,395,387× 80,872,098× 73,266,159× 60,004,495× 61,890,986× 48,876,074× 48,267,222× 44,616,281× 50,255,814× 52,135,158× 43,473,078× 35,500,806× 35,038,582× 24,177,118× 18,510,445× 10,418,478× 5,910,383× 2,655,928× 1,599,163× 148,764× |