| 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 |
|---|---|---|---|---|---|---|
| Average Steps Cycle Start | 0.99 step avg | 3.96 step avg | 20.47 step avg | 1.79 step avg | 20.92 step avg | 99.96 step avg |
| Step Frequency Cycle Start | 0s: 1s: 1× 102× | 0s: 1s: 2s: 3s: 4s: 5s: 4× 429× 333× 714× 1,428× 2,448× | 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: 1× 5,509× 2,700× 5,398× 5,388× 5,374× 5,356× 5,334× 5,308× 5,278× 5,244× 5,206× 5,164× 5,118× 5,068× 5,014× 4,956× 4,894× 4,828× 4,758× 4,684× 4,606× 4,524× 4,438× 4,348× 4,254× 4,156× 4,054× 3,948× 3,838× 3,724× 3,606× 3,484× 3,358× 3,228× 3,094× 2,956× 2,814× 2,668× 2,518× 2,364× 2,206× 2,044× 1,878× 1,708× 1,534× 1,356× 1,174× 988× 798× 604× 406× 204× | 0s: 1s: 2s: 3s: 4s: 1× 1,215,602× 3,603,575× 145,809× 2,703× | 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× 299,500× 269,355× 252,093× 562,924× 729,203× 1,065,735× 1,182,291× 1,723,671× 1,686,292× 2,184,357× 2,219,337× 2,697,346× 2,961,742× 3,269,031× 3,987,396× 3,832,168× 4,990,692× 4,428,045× 5,524,188× 5,234,674× 5,925,047× 5,427,641× 5,586,223× 4,897,568× 5,193,665× 4,151,991× 4,854,474× 3,624,059× 3,933,334× 3,114,473× 2,948,877× 2,087,610× 1,936,336× 1,290,905× 932,128× 629,519× 387,520× 190,965× 74,498× 21,692× | 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: 1× 804,580× 1,776,294× 4,919,746× 13,680,257× 45,100,187× 16,063,819× 12,440,241× 13,879,254× 14,248,313× 13,759,140× 11,913,237× 11,855,353× 16,828,782× 18,572,637× 18,795,802× 15,220,007× 14,386,597× 13,663,212× 14,979,985× 13,618,876× 12,095,093× 13,043,806× 17,635,378× 16,955,664× 15,321,494× 14,618,429× 12,616,282× 14,139,721× 10,476,912× 13,675,516× 11,440,595× 11,381,748× 10,039,250× 10,713,995× 10,938,471× 9,591,658× 7,910,527× 11,250,960× 8,549,912× 9,318,182× 10,502,085× 9,022,316× 5,372,607× 6,967,361× 10,254,633× 10,214,316× 7,796,991× 8,191,090× 5,718,766× 7,289,152× 10,185,721× 7,517,488× 6,767,939× 5,645,058× 3,682,804× 4,948,633× 6,280,610× 6,024,348× 5,925,411× 4,776,991× 5,583,318× 6,456,502× 7,107,800× 9,520,458× 9,915,121× 10,380,859× 10,095,641× 8,990,863× 10,922,265× 13,070,184× 10,103,699× 13,183,627× 14,894,296× 10,672,416× 10,092,612× 9,031,519× 8,202,450× 9,904,755× 10,495,281× 8,212,616× 7,889,283× 7,686,505× 7,591,580× 6,567,085× 10,953,225× 9,764,618× 9,496,040× 9,012,309× 9,536,393× 10,621,795× 9,408,283× 6,584,024× 8,820,361× 11,894,857× 13,916,248× 9,833,517× 8,061,738× 10,800,323× 13,713,814× 11,545,667× 10,908,880× 10,566,936× 8,017,464× 9,096,602× 8,094,127× 7,325,710× 6,052,312× 5,977,431× 6,066,302× 6,349,221× 6,335,800× 4,719,730× 5,448,098× 3,481,250× 5,195,646× 6,947,104× 4,615,070× 4,837,350× 4,146,251× 3,604,243× 3,721,055× 3,778,514× 3,598,106× 3,231,313× 3,482,081× 2,459,860× 2,149,035× 2,565,447× 2,341,563× 2,318,661× 3,331,098× 5,146,699× 4,813,904× 3,325,362× 2,339,821× 2,200,462× 2,665,358× 4,242,784× 4,121,218× 4,541,291× 4,870,380× 3,743,573× 4,896,069× 5,442,708× 6,162,548× 6,129,561× 6,686,109× 8,691,441× 7,197,247× 6,208,648× 8,458,351× 10,157,186× 12,750,354× 10,097,447× 7,302,984× 6,888,897× 5,487,479× 5,315,339× 4,722,589× 6,494,895× 8,131,695× 5,921,729× 7,208,120× 8,019,769× 10,495,911× 9,390,199× 10,531,074× 10,167,139× 10,089,770× 10,313,152× 10,369,336× 10,660,805× 13,555,741× 17,021,154× 17,637,490× 14,824,423× 13,646,820× 13,022,595× 11,199,807× 10,926,657× 10,123,055× 9,743,924× 9,366,043× 11,579,656× 13,408,082× 10,210,535× 8,497,839× 8,357,793× 10,287,584× 7,214,412× 6,728,925× 6,139,098× 4,709,858× 5,409,155× 4,565,630× 4,137,061× 4,594,655× 4,711,066× 4,471,743× 4,018,725× 4,440,997× 5,216,558× 4,118,698× 2,688,981× 3,435,206× 2,721,977× 3,589,476× 4,685,655× 4,233,170× 2,853,816× 3,429,553× 5,291,801× 3,972,612× 3,226,643× 5,293,352× 3,624,202× 4,929,453× 5,400,303× 4,635,455× 4,776,966× 3,893,101× 4,828,971× 5,381,581× 4,343,107× 3,825,286× 3,625,785× 3,247,244× 3,518,696× 2,708,961× 2,392,864× 2,535,913× 2,206,441× 1,471,106× 1,544,051× 1,587,189× 1,337,458× 646,935× 938,782× 1,006,646× 3,294,158× 2,262,540× 2,339,483× 1,738,447× 1,115,408× 935,576× 411,441× 747,651× 828,360× 821,415× 173,669× 32,869× 87,217× 50,712× 882× |