| 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 | 8 |
|---|---|---|---|---|---|---|---|---|
| Average Steps Cycle Start | 0.99 step avg | 3.03 step avg | 13.70 step avg | 1.81 step avg | 14.18 step avg | 31.85 step avg | 17.89 step avg | 62.96 step avg |
| Step Frequency Cycle Start | 0s: 1s: 1× 66× | 0s: 1s: 2s: 3s: 4s: 5× 342× 281× 594× 1,056× | 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× 2,377× 1,152× 2,302× 2,292× 2,278× 2,260× 2,238× 2,212× 2,182× 2,148× 2,110× 2,068× 2,022× 1,972× 1,918× 1,860× 1,798× 1,732× 1,662× 1,588× 1,510× 1,428× 1,342× 1,252× 1,158× 1,060× 958× 852× 742× 628× 510× 388× 262× 132× | 0s: 1s: 2s: 3s: 4s: 1× 221,474× 652,784× 41,481× 1,155× | 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: 1× 84,760× 88,767× 75,705× 173,740× 219,887× 328,419× 355,623× 523,971× 560,116× 661,109× 781,350× 805,266× 953,826× 981,773× 1,038,873× 947,727× 969,307× 765,870× 811,442× 516,431× 504,760× 321,858× 241,064× 161,219× 94,696× 39,541× 10,644× 2,164× | 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: 1× 238,934× 507,257× 1,540,897× 5,574,668× 2,065,757× 1,683,372× 2,398,670× 2,760,070× 2,993,477× 3,413,786× 3,282,702× 3,398,573× 2,542,861× 3,080,313× 3,005,935× 3,109,828× 2,798,956× 3,464,336× 3,610,036× 3,949,550× 3,808,885× 4,165,863× 4,058,568× 4,166,388× 3,328,631× 2,983,825× 2,954,884× 3,072,624× 3,459,658× 3,761,506× 3,131,194× 2,257,940× 1,835,002× 1,882,757× 1,391,739× 1,532,929× 1,365,649× 1,551,231× 1,443,390× 1,655,839× 1,606,671× 1,632,067× 1,812,747× 1,389,087× 1,249,407× 1,381,004× 1,494,604× 1,590,096× 1,901,292× 1,544,993× 1,333,160× 1,090,165× 1,247,403× 901,735× 1,119,561× 1,149,074× 1,020,667× 638,542× 606,361× 826,498× 999,236× 1,065,988× 1,096,447× 790,868× 776,336× 613,612× 1,214,231× 1,346,036× 1,261,572× 1,000,308× 1,191,285× 1,145,148× 1,031,818× 942,238× 1,035,210× 1,125,111× 841,401× 837,878× 881,120× 675,802× 453,319× 294,894× 202,480× 158,809× 107,271× 49,699× 51,277× 109,918× 108,830× 62,620× 3,942× 589× | 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: 1× 736,858× 1,847,920× 4,450,797× 7,620,042× 12,204,873× 17,858,582× 24,605,360× 33,867,849× 45,980,806× 56,702,302× 68,706,101× 83,898,713× 94,851,688× 102,692,290× 108,186,332× 113,279,468× 108,917,087× 98,238,341× 93,648,580× 81,230,516× 72,605,798× 52,221,884× 41,311,691× 29,187,526× 28,117,329× 24,591,214× 22,058,423× 24,953,411× 24,196,853× 23,997,079× 22,699,300× 26,194,150× 24,259,927× 18,451,065× 11,655,480× 10,510,284× 6,413,631× 3,599,242× 1,943,231× 720,218× 119,834× 16,536× | 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: 1× 3,188,198× 14,080,547× 69,551,745× 120,779,872× 106,607,522× 106,560,405× 122,257,826× 153,126,475× 181,076,700× 178,200,861× 168,127,113× 165,428,113× 160,903,767× 181,564,561× 190,448,723× 202,102,485× 194,021,245× 179,515,731× 168,388,943× 181,031,084× 210,660,899× 246,926,626× 240,830,216× 192,826,152× 209,567,466× 217,625,478× 205,011,979× 195,248,806× 188,328,519× 193,696,641× 196,127,415× 189,768,901× 194,114,874× 184,643,110× 199,232,120× 171,716,443× 157,005,089× 167,716,721× 141,505,225× 137,949,664× 124,445,263× 115,089,984× 128,583,403× 152,723,230× 150,380,291× 144,877,354× 127,699,942× 118,857,173× 138,423,890× 136,370,204× 125,758,086× 132,033,504× 136,143,295× 139,624,301× 126,045,518× 98,516,392× 79,380,959× 72,813,518× 92,909,654× 90,933,572× 98,950,418× 83,638,843× 76,746,243× 77,825,415× 67,854,977× 67,812,337× 71,555,327× 60,084,692× 57,586,370× 54,673,112× 58,094,278× 60,499,861× 72,316,687× 68,684,085× 75,652,696× 74,480,798× 68,248,909× 63,131,216× 55,780,350× 61,244,770× 56,007,758× 58,218,370× 53,605,106× 48,482,922× 48,031,712× 61,507,641× 50,917,012× 47,855,837× 49,403,914× 59,677,589× 58,375,340× 59,282,250× 50,170,600× 40,527,270× 35,819,994× 41,343,182× 47,252,241× 39,919,618× 39,722,917× 38,812,251× 32,296,883× 30,914,559× 32,313,245× 27,129,046× 23,851,377× 23,266,707× 30,376,959× 24,933,945× 37,415,592× 37,439,274× 32,801,503× 31,022,990× 30,153,651× 35,766,778× 46,416,941× 48,797,667× 45,132,230× 61,806,587× 55,083,888× 40,742,676× 52,644,736× 58,657,022× 59,579,248× 53,266,187× 60,481,539× 48,091,174× 51,492,586× 58,807,072× 78,962,600× 84,797,637× 100,314,901× 86,208,746× 76,356,957× 72,037,212× 79,255,702× 85,563,498× 84,266,563× 79,108,512× 76,652,869× 82,396,090× 73,040,347× 68,705,349× 65,845,267× 56,898,233× 52,001,191× 40,197,961× 35,117,621× 50,385,344× 53,348,817× 53,565,447× 59,975,561× 69,455,689× 51,161,012× 52,141,473× 61,145,208× 61,619,056× 40,465,815× 34,542,642× 31,183,023× 27,095,223× 30,199,087× 20,109,786× 13,921,609× 12,099,336× 20,011,447× 18,689,341× 19,270,250× 23,083,279× 19,513,625× 13,934,608× 9,873,684× 9,128,246× 10,055,090× 10,878,406× 13,673,377× 10,519,728× 11,341,943× 9,861,396× 12,918,994× 9,224,855× 11,648,112× 8,155,402× 7,903,620× 8,281,687× 12,033,787× 9,157,598× 5,869,663× 6,785,831× 4,492,505× 6,550,030× 7,440,572× 4,428,869× 2,485,496× 3,035,710× 668,858× 387,501× 284,379× 155,332× 39,292× |