| 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 | 1.48 step avg | 21.53 step avg | 2.84 step avg | 21.48 step avg | 89.21 step avg |
| Step Frequency Cycle Start | 0s: 1s: 1× 105× | 0s: 1s: 2s: 28× 2,887× 2,756× | 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: 1× 2,967× 2,860× 5,718× 5,710× 5,698× 5,682× 5,662× 5,638× 5,610× 5,578× 5,542× 5,502× 5,458× 5,410× 5,358× 5,302× 5,242× 5,178× 5,110× 5,038× 4,962× 4,882× 4,798× 4,710× 4,618× 4,522× 4,422× 4,318× 4,210× 4,098× 3,982× 3,862× 3,738× 3,610× 3,478× 3,342× 3,202× 3,058× 2,910× 2,758× 2,602× 2,442× 2,278× 2,110× 1,938× 1,762× 1,582× 1,398× 1,210× 1,018× 822× 622× 418× 210× | 0s: 1s: 2s: 3s: 4s: 5s: 6s: 7s: 1× 339,405× 947,050× 3,789,500× 247,225× 216,965× 13,113× 9,992× | 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× 334,427× 293,298× 273,370× 609,292× 790,418× 1,153,178× 1,281,340× 1,866,026× 1,827,318× 2,366,232× 2,405,664× 2,924,850× 3,174,818× 3,513,918× 4,236,340× 4,165,746× 5,413,320× 4,885,490× 6,124,718× 5,609,162× 6,481,468× 6,090,178× 6,335,078× 5,704,058× 5,925,322× 4,940,002× 5,674,980× 4,223,014× 4,805,876× 3,752,652× 3,742,568× 2,854,706× 2,724,566× 1,852,190× 1,561,720× 990,340× 705,130× 440,930× 218,950× 86,590× 29,878× 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: 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: 273s: 274s: 275s: 276s: 277s: 278s: 279s: 280s: 281s: 1× 6,611,172× 18,207,279× 15,395,906× 17,750,753× 20,463,603× 21,444,519× 20,639,855× 20,316,393× 19,353,250× 18,851,249× 18,848,496× 17,416,900× 20,136,970× 20,405,659× 18,605,969× 18,573,219× 18,319,349× 17,854,583× 18,504,196× 18,641,352× 20,066,234× 20,529,599× 20,957,047× 21,747,847× 22,865,941× 21,914,692× 21,677,432× 21,532,238× 21,242,188× 21,126,898× 19,965,595× 18,261,004× 17,128,037× 16,503,029× 16,584,894× 18,616,931× 19,037,916× 17,520,371× 18,830,722× 16,774,374× 15,185,715× 15,028,685× 15,025,013× 14,063,071× 13,048,201× 12,584,678× 12,946,114× 13,956,994× 13,698,075× 12,800,138× 12,363,133× 13,501,133× 13,504,128× 14,591,033× 12,905,974× 12,909,702× 12,539,971× 11,751,930× 11,424,491× 10,745,203× 11,020,968× 9,676,239× 9,223,568× 9,158,832× 10,154,105× 9,662,224× 7,837,909× 7,458,420× 7,882,525× 8,359,259× 9,402,763× 9,462,457× 9,857,165× 10,521,131× 11,360,432× 10,584,894× 10,603,384× 11,276,251× 10,840,434× 12,118,863× 11,496,803× 10,724,443× 11,116,311× 11,035,297× 9,751,129× 10,137,797× 9,543,229× 9,089,591× 7,750,054× 8,006,212× 8,135,077× 7,511,172× 7,861,759× 8,386,658× 8,851,555× 8,999,779× 7,953,378× 8,592,250× 8,619,180× 7,822,473× 7,534,728× 7,842,102× 7,130,275× 7,226,301× 7,677,428× 7,849,118× 7,445,817× 8,446,092× 7,531,544× 7,517,712× 7,667,587× 8,182,682× 7,356,671× 6,776,586× 7,804,320× 7,018,887× 7,304,485× 8,594,673× 8,469,412× 8,525,403× 7,535,820× 7,038,345× 7,769,807× 7,535,666× 8,491,923× 8,430,476× 8,178,789× 7,787,672× 7,225,882× 7,057,700× 6,665,151× 6,121,015× 6,333,891× 7,760,293× 7,556,906× 7,173,227× 6,669,885× 7,181,773× 6,607,198× 7,678,047× 6,961,237× 6,632,531× 6,410,861× 7,072,922× 6,588,370× 6,217,075× 6,270,047× 6,468,145× 6,350,423× 6,243,911× 6,374,539× 6,688,195× 7,726,954× 7,375,680× 6,982,185× 7,323,638× 7,006,508× 8,117,957× 7,586,017× 7,523,397× 7,609,440× 6,549,077× 7,489,924× 7,586,324× 7,579,109× 7,489,968× 7,388,739× 6,653,283× 5,760,312× 5,576,924× 5,416,781× 4,907,893× 4,959,433× 5,189,279× 5,133,685× 5,111,474× 4,693,197× 4,101,528× 5,099,344× 6,029,392× 5,813,784× 5,855,175× 5,988,364× 5,537,007× 6,114,374× 6,096,869× 6,397,473× 7,294,328× 6,747,749× 6,764,186× 6,960,705× 6,843,182× 6,461,986× 6,260,326× 7,219,730× 5,974,412× 5,313,321× 4,508,595× 4,204,477× 3,880,584× 3,924,006× 3,865,646× 4,593,904× 3,893,549× 3,116,751× 2,731,809× 2,042,469× 2,167,470× 2,086,251× 2,335,330× 2,617,045× 2,958,421× 2,765,646× 2,420,304× 2,681,456× 3,314,866× 3,432,165× 3,840,815× 3,899,844× 3,899,259× 4,310,732× 3,514,806× 3,552,630× 3,136,751× 3,111,915× 3,218,751× 3,803,168× 4,348,517× 3,485,487× 2,958,269× 2,998,855× 2,884,520× 2,704,708× 2,648,910× 2,876,688× 2,250,423× 2,559,216× 2,181,249× 2,780,723× 2,417,006× 2,757,039× 2,526,675× 2,920,145× 2,445,835× 1,867,933× 1,827,029× 1,790,903× 1,228,759× 1,278,194× 1,524,049× 1,562,074× 2,637,983× 2,178,345× 1,542,963× 1,478,082× 1,570,091× 1,131,718× 1,353,772× 1,463,711× 1,563,446× 1,698,966× 1,565,471× 1,728,187× 1,582,473× 1,429,131× 1,763,703× 1,770,819× 1,482,614× 1,478,516× 1,406,471× 1,140,710× 998,458× 751,734× 532,798× 397,075× 456,765× 588,062× 558,209× 546,858× 432,035× 128,398× |