| 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 Full Cycle | 1.99 step avg | 24.51 step avg | 20.59 step avg | 11.14 step avg | 21.73 step avg | 146.63 step avg | 23.31 step avg |
| Step Frequency Full Cycle | 0s: 1s: 2s: 0× 1× 92× | 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× 1× 92× 46× 0× 0× 0× 0× 0× 0× 0× 0× 0× 0× 0× 0× 0× 0× 0× 0× 0× 0× 0× 12× 1,069× 1,035× 2,116× | 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: 0× 1× 92× 4,417× 2,205× 4,408× 4,398× 4,384× 4,366× 4,344× 4,318× 4,288× 4,254× 4,216× 4,174× 4,128× 4,078× 4,024× 3,966× 3,904× 3,838× 3,768× 3,694× 3,616× 3,534× 3,448× 3,358× 3,264× 3,166× 3,064× 2,958× 2,848× 2,734× 2,616× 2,494× 2,368× 2,238× 2,104× 1,966× 1,824× 1,678× 1,528× 1,374× 1,216× 1,054× 888× 718× 544× 366× 184× | 0s: 1s: 2s: 3s: 4s: 5s: 6s: 7s: 8s: 9s: 10s: 11s: 12s: 13s: 14s: 0× 1× 92× 0× 0× 0× 114,830× 308,505× 4,989× 0× 0× 695,920× 2,094,558× 100,857× 2,208× | 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: 0× 1× 31,836× 42,877× 74,266× 161,034× 267,964× 462,200× 587,748× 856,244× 803,866× 1,467,200× 1,400,597× 2,102,170× 1,679,442× 2,769,658× 2,211,461× 3,428,969× 2,769,689× 3,816,695× 2,908,850× 3,870,879× 3,061,783× 3,944,993× 2,905,965× 3,451,971× 2,621,467× 2,931,137× 2,229,901× 2,402,841× 1,858,238× 1,783,094× 1,434,291× 1,242,236× 930,381× 747,882× 547,887× 356,486× 190,621× 74,486× 16,718× | 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: 177s: 178s: 179s: 180s: 181s: 182s: 183s: 184s: 185s: 186s: 187s: 188s: 189s: 190s: 191s: 192s: 193s: 194s: 195s: 196s: 197s: 198s: 199s: 200s: 201s: 202s: 203s: 204s: 205s: 206s: 207s: 208s: 209s: 210s: 211s: 212s: 213s: 214s: 215s: 216s: 217s: 218s: 219s: 220s: 221s: 222s: 223s: 224s: 225s: 226s: 227s: 228s: 229s: 230s: 231s: 232s: 233s: 234s: 235s: 236s: 237s: 238s: 239s: 240s: 241s: 242s: 243s: 244s: 245s: 246s: 247s: 248s: 249s: 250s: 251s: 252s: 253s: 254s: 255s: 256s: 257s: 258s: 259s: 260s: 261s: 262s: 263s: 264s: 265s: 266s: 267s: 268s: 269s: 270s: 271s: 272s: 0× 1× 92× 0× 0× 0× 29,168× 141,518× 343,086× 227,392× 161,047× 88,639× 15,428× 0× 0× 0× 0× 0× 0× 0× 0× 0× 201,604× 513,269× 1,172,721× 1,397,644× 1,247,792× 1,243,945× 859,623× 1,348,609× 883,200× 591,108× 326,321× 519,000× 703,472× 991,130× 826,554× 1,000,181× 881,409× 611,584× 1,131,279× 1,456,505× 1,324,355× 1,441,426× 1,573,988× 1,390,239× 681,409× 704,094× 1,019,428× 1,179,784× 740,333× 518,229× 623,078× 757,631× 1,098,483× 1,174,992× 782,878× 705,469× 884,057× 1,642,275× 2,514,156× 3,586,931× 5,240,776× 4,474,162× 4,690,540× 4,820,275× 4,587,128× 4,463,251× 3,781,581× 4,922,234× 5,619,738× 6,149,351× 5,884,412× 5,861,820× 5,165,170× 5,643,522× 5,953,083× 4,985,787× 5,329,486× 4,344,966× 5,498,548× 5,405,158× 4,758,016× 3,992,621× 4,483,842× 4,233,552× 3,957,932× 4,381,062× 5,208,654× 5,100,959× 5,417,887× 5,055,028× 6,166,271× 5,448,011× 4,699,188× 4,385,351× 4,897,106× 4,857,905× 4,028,716× 4,416,502× 3,617,607× 3,165,644× 3,802,905× 4,447,591× 4,099,705× 4,404,323× 4,017,514× 3,922,679× 4,349,639× 4,871,222× 4,672,553× 3,517,797× 3,168,635× 3,295,960× 3,598,725× 3,482,880× 3,442,467× 3,600,676× 3,312,098× 3,302,559× 3,416,664× 4,168,599× 4,632,135× 3,896,327× 4,175,258× 4,371,242× 5,406,950× 4,259,775× 4,163,814× 4,571,698× 5,997,803× 6,602,267× 6,297,910× 6,180,022× 6,369,638× 5,128,873× 5,546,555× 6,993,145× 7,589,323× 8,848,176× 7,470,432× 7,615,914× 8,132,229× 9,086,917× 9,102,696× 8,819,047× 8,934,542× 9,220,527× 9,486,504× 10,810,619× 10,688,823× 11,216,617× 10,747,040× 9,740,098× 9,690,131× 9,048,176× 8,829,924× 7,623,895× 8,475,401× 8,438,337× 8,619,901× 7,551,818× 8,721,937× 8,814,037× 10,529,670× 9,920,670× 10,315,079× 10,070,965× 10,629,074× 10,832,930× 10,647,580× 9,581,557× 8,780,596× 7,869,409× 6,608,739× 6,688,314× 6,986,657× 6,588,950× 6,846,226× 6,391,108× 6,243,084× 7,405,949× 7,062,814× 6,755,984× 7,317,001× 6,704,523× 6,225,397× 6,631,725× 6,637,189× 5,999,887× 6,285,566× 6,733,102× 5,610,273× 5,782,798× 5,178,445× 4,664,735× 4,056,485× 4,438,043× 4,784,838× 3,991,765× 3,151,304× 3,081,842× 3,420,268× 2,770,660× 3,165,754× 3,329,575× 2,890,358× 3,636,417× 4,689,585× 5,079,964× 4,674,626× 4,573,859× 3,785,651× 4,006,245× 3,525,568× 4,192,012× 3,913,218× 3,975,554× 5,487,089× 5,601,095× 5,162,904× 4,046,649× 3,551,378× 3,779,531× 3,434,108× 3,177,499× 3,318,843× 3,752,127× 3,529,577× 3,484,568× 2,951,393× 3,156,421× 3,432,061× 2,976,398× 2,178,768× 2,561,893× 2,195,330× 1,850,589× 2,564,643× 2,636,499× 2,200,077× 1,379,381× 1,513,152× 1,260,292× 985,348× 1,199,772× 1,510,977× 1,025,919× 833,368× 571,769× 539,993× 609,695× 641,451× 622,314× 475,366× 448,451× 343,179× 302,947× 516,977× 417,884× 208,212× 406,500× 172,903× 131,457× 205,373× 57,803× 46,726× 16,283× 36,499× 113,888× 91,007× 22,577× 60,840× | 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: 0× 1× 92× 1,319,096× 3,257,932× 12,080,888× 26,950,584× 53,775,214× 82,299,574× 117,827,802× 171,819,398× 218,167,242× 268,071,923× 354,498,768× 394,497,098× 462,683,110× 545,414,562× 608,352,734× 657,940,365× 710,274,579× 756,964,791× 820,724,984× 792,793,223× 776,274,993× 812,926,555× 744,989,836× 686,267,490× 638,012,545× 600,609,556× 518,615,481× 479,209,613× 419,148,245× 395,556,470× 345,389,726× 305,677,873× 275,391,044× 214,367,258× 183,128,148× 133,397,886× 96,337,761× 58,787,359× 53,321,436× 33,661,548× 26,834,993× 13,370,497× 10,400,711× 3,156,778× 2,371,158× 112,624× |