| 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 | 9.00 step avg | 19.08 step avg | 9.49 step avg | 20.88 step avg | 85.07 step avg | 22.14 step avg |
| Step Frequency Full Cycle | 0s: 1s: 2s: 0× 1× 84× | 0s: 1s: 2s: 3s: 4s: 5s: 6s: 7s: 8s: 9s: 10s: 0× 1× 84× 42× 0× 0× 0× 11× 892× 861× 1,764× | 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: 0× 1× 84× 3,697× 1,845× 3,688× 3,678× 3,664× 3,646× 3,624× 3,598× 3,568× 3,534× 3,496× 3,454× 3,408× 3,358× 3,304× 3,246× 3,184× 3,118× 3,048× 2,974× 2,896× 2,814× 2,728× 2,638× 2,544× 2,446× 2,344× 2,238× 2,128× 2,014× 1,896× 1,774× 1,648× 1,518× 1,384× 1,246× 1,104× 958× 808× 654× 496× 334× 168× | 0s: 1s: 2s: 3s: 4s: 5s: 6s: 7s: 8s: 9s: 10s: 11s: 12s: 0× 1× 1,274× 4,639× 7,840× 42,888× 106,352× 4,213× 0× 520,788× 1,565,074× 76,973× 1,848× | 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: 0× 1× 84× 0× 72,825× 172,838× 146,501× 215,368× 389,247× 506,999× 747,397× 793,423× 1,139,998× 956,561× 1,591,157× 1,202,725× 2,122,857× 1,636,387× 2,613,987× 2,041,305× 2,890,928× 2,321,773× 3,042,774× 2,127,978× 2,673,405× 1,933,965× 2,370,584× 1,609,142× 1,795,747× 1,215,705× 1,147,169× 772,322× 554,021× 360,853× 207,818× 94,024× 32,526× 7,248× | 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: 0× 1× 9,876× 10,693× 0× 51,888× 78,794× 0× 148,912× 562,036× 1,803,816× 892,100× 230,389× 288,652× 663,078× 839,693× 1,000,891× 1,040,875× 1,600,024× 1,485,992× 2,076,513× 1,838,650× 1,593,019× 1,494,244× 1,230,357× 1,926,156× 2,995,354× 2,845,056× 2,520,195× 2,287,301× 1,922,596× 1,491,915× 1,202,191× 1,055,578× 883,563× 503,407× 280,483× 325,170× 66,912× 124,294× 78,787× 237,735× 321,539× 634,230× 762,353× 1,425,239× 1,319,899× 1,890,814× 2,778,949× 5,452,805× 5,250,340× 4,981,134× 4,772,762× 5,029,187× 4,141,576× 4,354,227× 5,054,467× 5,023,762× 6,009,326× 7,052,249× 7,541,249× 7,502,428× 7,595,706× 7,747,016× 6,733,547× 6,724,838× 6,917,958× 8,394,445× 7,941,985× 8,583,097× 9,607,658× 9,827,998× 10,430,569× 10,026,435× 10,258,925× 9,322,395× 8,711,611× 9,001,064× 9,126,158× 9,354,024× 9,260,257× 10,126,333× 9,704,845× 7,763,762× 6,754,849× 6,626,159× 7,249,615× 7,248,695× 7,182,224× 7,079,607× 7,161,771× 7,781,130× 7,773,244× 5,567,068× 5,789,409× 6,194,538× 6,008,029× 5,760,647× 5,532,698× 6,017,207× 6,207,742× 6,968,284× 7,135,761× 7,694,359× 8,010,369× 7,040,769× 6,366,542× 5,865,406× 6,922,031× 6,506,159× 6,534,225× 6,746,863× 6,944,030× 6,542,929× 5,314,396× 3,779,631× 4,074,623× 5,226,622× 5,577,731× 4,954,905× 4,014,408× 4,429,219× 3,460,821× 3,102,494× 3,009,859× 3,135,163× 3,832,032× 4,588,938× 5,506,004× 4,089,537× 3,193,883× 3,580,155× 2,989,034× 2,664,800× 2,150,013× 2,243,771× 2,117,357× 2,270,993× 1,974,310× 1,857,310× 1,642,227× 899,512× 1,106,988× 1,025,519× 955,603× 758,619× 501,171× 644,112× 1,073,129× 1,049,316× 552,884× 562,439× 373,130× 360,327× 232,265× 124,555× 179,123× 134,577× 190,787× 158,711× 147,206× 152,277× 193,751× 328,571× 239,138× 182,742× 48,663× 51,182× 61,451× 36,825× 34,329× 115,840× 946× | 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: 0× 1× 84× 930,300× 2,319,640× 8,065,072× 18,777,621× 37,303,275× 56,121,586× 77,924,871× 112,996,806× 138,329,500× 172,603,168× 232,700,578× 267,194,442× 313,364,186× 359,314,884× 380,003,824× 417,373,041× 422,268,343× 427,543,730× 471,817,325× 443,190,007× 442,469,637× 437,632,508× 403,780,781× 336,743,822× 299,948,566× 270,846,922× 240,655,464× 227,907,475× 197,027,319× 196,773,849× 163,049,680× 144,207,491× 103,452,178× 81,928,972× 67,464,991× 52,519,666× 35,898,792× 17,817,007× 7,971,620× 3,273,420× 1,926,071× 447,507× 104,168× |