| 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 |
| 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 | 2.21 step avg | 17.84 step avg | 1.79 step avg | 17.69 step avg | 48.28 step avg | 20.59 step avg |
| Step Frequency Cycle Start | 0s: 1s: 1× 88× | 0s: 1s: 2s: 3s: 12× 1,067× 990× 1,936× | 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: 1× 4,137× 2,021× 4,040× 4,030× 4,016× 3,998× 3,976× 3,950× 3,920× 3,886× 3,848× 3,806× 3,760× 3,710× 3,656× 3,598× 3,536× 3,470× 3,400× 3,326× 3,248× 3,166× 3,080× 2,990× 2,896× 2,798× 2,696× 2,590× 2,480× 2,366× 2,248× 2,126× 2,000× 1,870× 1,736× 1,598× 1,456× 1,310× 1,160× 1,006× 848× 686× 520× 350× 176× | 0s: 1s: 2s: 3s: 4s: 1× 681,208× 2,017,950× 92,972× 2,024× | 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: 1× 111,568× 125,518× 166,280× 370,004× 516,816× 810,202× 888,067× 1,311,872× 1,121,587× 1,962,529× 1,599,870× 2,563,842× 2,104,995× 3,128,324× 2,803,575× 3,575,940× 2,765,247× 3,262,372× 2,531,657× 3,109,922× 2,209,508× 2,550,162× 2,079,406× 2,015,974× 1,686,164× 1,517,690× 1,325,686× 1,082,049× 895,044× 632,214× 426,902× 287,498× 234,924× 147,770× 50,104× | 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: 108s: 109s: 110s: 111s: 112s: 113s: 114s: 115s: 116s: 117s: 118s: 119s: 120s: 121s: 122s: 123s: 124s: 125s: 126s: 127s: 128s: 129s: 130s: 131s: 132s: 133s: 134s: 135s: 136s: 137s: 138s: 139s: 140s: 141s: 142s: 143s: 144s: 145s: 146s: 147s: 148s: 149s: 150s: 151s: 152s: 153s: 154s: 155s: 156s: 157s: 158s: 159s: 160s: 161s: 162s: 163s: 164s: 165s: 166s: 167s: 168s: 169s: 170s: 171s: 172s: 173s: 174s: 175s: 176s: 1× 2,865,673× 8,462,219× 16,690,620× 12,472,134× 15,344,731× 12,916,740× 13,753,011× 13,803,758× 13,067,092× 11,169,629× 10,438,488× 11,017,637× 12,261,946× 12,965,032× 12,548,865× 13,500,626× 13,421,059× 13,172,802× 13,233,743× 14,316,586× 14,204,321× 13,996,418× 13,362,454× 14,379,489× 13,062,377× 13,162,807× 12,669,123× 12,174,253× 12,155,915× 12,599,926× 9,947,773× 9,652,260× 11,323,276× 10,077,651× 8,515,743× 9,329,869× 8,891,226× 8,935,834× 10,780,364× 9,771,642× 8,494,684× 6,826,405× 5,626,453× 4,905,135× 5,210,298× 5,015,013× 4,725,179× 4,220,577× 3,768,049× 4,073,740× 4,113,964× 4,347,644× 3,805,342× 4,439,927× 4,116,922× 3,600,075× 3,828,485× 4,110,808× 4,242,255× 4,016,209× 4,388,749× 3,771,172× 3,357,473× 3,808,709× 4,709,519× 4,611,381× 3,597,771× 3,911,819× 2,946,966× 2,836,617× 2,494,893× 2,903,526× 3,212,230× 2,956,064× 3,251,539× 3,187,942× 3,494,973× 3,566,110× 3,930,130× 3,235,161× 2,968,073× 2,715,751× 2,804,388× 3,141,066× 3,528,137× 3,025,231× 2,440,059× 2,123,668× 2,372,634× 2,375,592× 2,543,979× 2,378,522× 3,101,732× 2,651,759× 3,011,272× 2,228,780× 2,458,655× 2,144,753× 1,823,994× 1,526,708× 1,638,896× 1,358,215× 1,936,638× 2,137,658× 2,225,608× 2,211,715× 2,769,877× 2,806,786× 3,131,266× 2,943,544× 2,736,196× 2,890,785× 2,413,276× 2,095,881× 2,301,437× 1,878,240× 1,927,899× 2,150,855× 2,372,782× 2,446,912× 2,353,038× 3,150,960× 3,591,037× 3,900,363× 3,485,639× 2,877,986× 2,856,037× 2,662,700× 2,306,134× 2,635,276× 2,610,799× 2,352,086× 2,006,654× 1,380,868× 1,734,752× 1,873,083× 1,550,827× 1,713,338× 1,478,668× 882,253× 963,633× 1,337,613× 1,503,071× 1,501,727× 1,612,904× 1,526,052× 1,752,631× 1,704,382× 1,548,339× 1,460,958× 1,189,956× 1,373,534× 865,065× 817,687× 660,361× 337,521× 493,077× 470,285× 875,795× 617,206× 592,205× 832,420× 880,534× 624,814× 512,273× 674,572× 724,624× 532,176× 486,698× 280,140× 113,097× 49,064× 35,250× 30,905× 11,198× 8,262× | 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: 1× 2,223,188× 4,880,512× 14,218,269× 30,983,817× 52,697,050× 75,682,703× 104,490,252× 155,610,507× 201,770,831× 221,987,744× 294,875,872× 342,886,460× 386,401,964× 451,357,939× 502,138,513× 525,708,995× 564,820,095× 566,440,742× 616,958,766× 597,647,234× 560,236,879× 565,389,721× 514,579,238× 461,098,646× 425,824,820× 400,858,051× 358,004,366× 345,306,299× 293,855,938× 282,252,115× 241,581,652× 220,793,495× 178,606,588× 145,734,542× 113,992,726× 82,080,790× 57,785,845× 33,828,569× 27,775,782× 12,362,755× 8,053,205× 3,419,082× 1,908,588× 676,429× 255,840× 41,280× |