| 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 |
| λ | μ | ν | ξ | ο | π | ρ | ς | σ | τ | υ | φ | χ | ψ | ω | А |
| 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 | 19.34 step avg | 1.79 step avg | 19.80 step avg | 92.44 step avg | 21.74 step avg |
| Step Frequency Cycle Start | 0s: 1s: 1× 96× | 0s: 1s: 2s: 3s: 13× 1,260× 1,176× 2,304× | 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: 1× 4,897× 2,397× 4,792× 4,782× 4,768× 4,750× 4,728× 4,702× 4,672× 4,638× 4,600× 4,558× 4,512× 4,462× 4,408× 4,350× 4,288× 4,222× 4,152× 4,078× 4,000× 3,918× 3,832× 3,742× 3,648× 3,550× 3,448× 3,342× 3,232× 3,118× 3,000× 2,878× 2,752× 2,622× 2,488× 2,350× 2,208× 2,062× 1,912× 1,758× 1,600× 1,438× 1,272× 1,102× 928× 750× 568× 382× 192× | 0s: 1s: 2s: 3s: 4s: 1× 958,144× 2,840,824× 119,856× 2,400× | 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: 1× 250,970× 230,217× 212,875× 477,220× 616,277× 903,929× 999,433× 1,460,261× 1,425,672× 1,847,727× 1,874,739× 2,276,274× 2,591,312× 2,781,514× 3,514,358× 3,307,545× 4,146,236× 3,788,293× 4,461,463× 4,281,170× 4,521,602× 4,057,234× 4,189,089× 3,480,830× 4,017,999× 2,981,617× 3,295,349× 2,550,696× 2,440,652× 1,723,596× 1,617,450× 1,066,467× 764,859× 518,210× 314,293× 151,114× 55,166× 13,981× 863× 192× | 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: 1× 653,459× 1,500,130× 2,981,075× 2,592,671× 3,379,927× 4,578,910× 6,357,336× 6,004,430× 6,207,639× 6,729,903× 7,436,756× 7,227,662× 6,871,727× 6,728,779× 6,256,253× 5,884,407× 3,961,024× 4,092,138× 4,311,494× 4,155,350× 4,871,076× 6,050,621× 7,373,055× 7,709,289× 6,725,373× 4,616,071× 4,905,208× 5,684,460× 5,437,196× 5,982,828× 7,528,708× 7,063,156× 9,608,733× 9,200,511× 9,110,784× 10,562,516× 9,853,181× 10,497,749× 11,841,840× 12,194,991× 10,077,627× 11,594,160× 11,698,260× 12,005,683× 10,247,781× 11,267,273× 14,852,914× 10,061,859× 11,037,897× 12,444,056× 11,602,781× 10,719,012× 9,711,583× 8,231,413× 7,869,625× 7,726,918× 5,249,754× 3,772,513× 4,553,196× 5,787,422× 4,396,070× 3,475,973× 4,275,335× 4,151,525× 4,145,720× 4,032,743× 6,134,668× 7,104,837× 7,128,212× 8,751,493× 5,507,566× 6,207,202× 6,703,549× 7,222,155× 6,727,645× 4,732,783× 4,830,387× 4,506,958× 3,449,604× 3,918,120× 6,058,767× 5,817,459× 5,052,820× 5,804,226× 6,325,148× 6,472,147× 7,156,863× 6,751,310× 6,380,529× 7,428,013× 7,973,475× 7,916,110× 7,933,207× 7,022,998× 6,043,937× 7,215,016× 9,896,801× 10,213,816× 8,918,163× 8,879,908× 9,658,200× 12,153,870× 12,427,673× 11,224,575× 8,969,674× 10,309,865× 9,118,973× 9,331,546× 9,652,968× 10,535,405× 11,017,622× 10,419,763× 9,394,036× 8,330,868× 7,868,859× 9,192,540× 9,812,073× 10,854,327× 10,259,176× 10,241,197× 11,279,915× 11,828,609× 14,762,108× 14,803,902× 14,700,468× 12,877,927× 9,962,633× 9,457,388× 9,999,257× 9,041,783× 10,737,067× 11,274,364× 10,142,732× 10,834,780× 10,782,759× 9,815,394× 10,049,495× 10,995,427× 9,815,269× 7,566,739× 5,611,372× 5,628,207× 5,573,542× 5,528,769× 5,670,721× 4,154,383× 4,425,347× 4,337,736× 4,809,367× 4,625,213× 3,988,848× 3,750,052× 4,943,689× 4,206,365× 4,242,136× 3,546,984× 3,899,233× 3,945,086× 4,825,314× 4,899,014× 7,000,678× 6,368,771× 5,122,443× 5,521,524× 6,422,763× 6,036,100× 6,002,752× 6,520,199× 6,968,039× 6,393,041× 5,899,433× 4,771,187× 3,997,560× 4,399,065× 4,643,494× 4,067,498× 3,192,916× 2,203,785× 2,127,664× 2,867,932× 2,761,579× 1,995,614× 2,191,589× 2,848,284× 2,562,605× 2,789,485× 2,395,224× 1,141,186× 1,315,282× 1,528,731× 1,072,326× 1,525,136× 1,920,940× 1,493,734× 1,597,203× 1,132,979× 702,500× 723,663× 282,645× 190,922× 254,749× 224,823× 69,530× 141,351× 299,520× 440,734× 116,194× 120,959× 165,144× 1,184× | 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: 1× 3,106,608× 6,755,192× 20,661,485× 44,284,257× 75,476,198× 109,136,988× 157,139,180× 233,749,790× 299,469,535× 333,068,203× 442,206,812× 515,545,170× 571,223,795× 681,035,248× 797,986,302× 826,405,427× 915,257,636× 930,428,488× 1,017,268,221× 1,007,939,263× 952,396,553× 1,024,428,607× 982,355,464× 908,627,002× 896,243,700× 822,383,494× 722,907,123× 650,066,406× 586,326,455× 542,414,021× 501,978,800× 435,670,541× 402,572,386× 321,098,376× 293,076,607× 213,722,084× 173,351,930× 135,556,948× 108,282,004× 68,918,775× 44,735,027× 19,821,216× 9,902,069× 4,936,992× 2,245,296× 1,029,962× 310,148× |