| 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 Cycle Start | 0.99 step avg | 3.06 step avg | 18.21 step avg | 1.79 step avg | 18.68 step avg | 66.65 step avg | 21.35 step avg |
| Step Frequency Cycle Start | 0s: 1s: 1× 90× | 0s: 1s: 2s: 3s: 4s: 7× 601× 518× 1,080× 1,980× | 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: 1× 4,321× 2,112× 4,222× 4,212× 4,198× 4,180× 4,158× 4,132× 4,102× 4,068× 4,030× 3,988× 3,942× 3,892× 3,838× 3,780× 3,718× 3,652× 3,582× 3,508× 3,430× 3,348× 3,262× 3,172× 3,078× 2,980× 2,878× 2,772× 2,662× 2,548× 2,430× 2,308× 2,182× 2,052× 1,918× 1,780× 1,638× 1,492× 1,342× 1,188× 1,030× 868× 702× 532× 358× 180× | 0s: 1s: 2s: 3s: 4s: 1× 743,910× 2,202,090× 101,385× 2,115× | 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: 1× 207,984× 194,951× 177,905× 400,492× 515,463× 758,843× 836,015× 1,224,091× 1,192,428× 1,545,817× 1,589,912× 1,921,118× 2,272,617× 2,313,275× 2,947,144× 2,698,873× 3,351,203× 3,219,228× 3,564,315× 3,296,545× 3,343,707× 2,864,560× 3,187,898× 2,419,446× 2,740,373× 2,049,586× 2,017,411× 1,434,996× 1,330,987× 864,377× 620,348× 415,195× 252,042× 119,273× 42,560× 9,540× | 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: 1× 1,105,709× 3,195,901× 7,314,765× 19,293,313× 9,611,426× 9,819,165× 8,385,403× 10,343,172× 9,713,131× 9,871,895× 10,045,799× 11,385,871× 11,050,558× 11,348,797× 11,471,297× 10,723,651× 10,655,829× 10,426,416× 8,710,697× 8,487,414× 10,839,196× 10,941,109× 8,594,678× 7,653,711× 7,938,581× 7,554,680× 7,647,063× 8,562,745× 7,429,717× 6,875,169× 6,889,492× 7,373,210× 7,959,176× 7,471,877× 5,734,191× 5,249,061× 4,555,314× 4,372,065× 4,635,979× 3,868,713× 4,602,109× 6,116,612× 5,048,779× 4,962,961× 4,333,331× 5,083,603× 5,475,215× 6,172,663× 6,367,174× 6,582,765× 6,463,082× 6,652,250× 7,944,847× 6,873,030× 5,587,122× 4,678,456× 4,683,932× 5,290,795× 6,197,724× 6,783,649× 7,550,714× 7,565,638× 7,454,570× 6,851,122× 7,326,766× 5,637,134× 6,074,110× 5,695,057× 6,532,399× 5,982,247× 7,081,752× 6,660,558× 6,268,946× 6,089,497× 6,435,713× 7,915,097× 8,365,343× 8,886,412× 7,430,650× 7,058,353× 7,067,213× 5,817,539× 5,593,631× 7,002,193× 8,031,185× 7,689,370× 6,857,806× 5,855,658× 4,640,146× 5,967,384× 5,820,753× 5,653,540× 4,926,388× 7,341,422× 6,998,839× 5,730,123× 5,162,838× 4,199,176× 4,027,663× 5,111,698× 4,214,669× 4,726,247× 4,943,947× 5,016,540× 5,876,781× 5,671,065× 5,355,017× 6,176,019× 4,207,793× 3,454,774× 3,669,911× 3,498,755× 2,899,665× 3,722,828× 3,535,916× 3,139,537× 2,711,946× 2,517,204× 3,058,523× 4,000,754× 3,881,565× 4,060,827× 4,158,485× 3,837,648× 3,505,334× 3,747,942× 2,747,146× 3,395,072× 3,088,245× 2,836,472× 3,260,800× 2,802,131× 3,182,378× 2,461,050× 2,228,956× 2,238,718× 2,637,006× 2,111,658× 1,885,511× 1,818,436× 1,663,010× 1,827,364× 1,530,922× 1,219,174× 1,932,825× 1,806,220× 1,767,323× 1,645,088× 1,967,679× 2,196,857× 2,433,845× 1,783,355× 1,573,711× 1,187,242× 1,662,005× 2,108,703× 1,970,008× 2,312,895× 2,540,110× 2,802,121× 2,648,299× 3,535,244× 3,137,424× 2,297,396× 1,724,658× 1,372,352× 1,156,077× 1,242,875× 808,998× 908,182× 893,821× 596,626× 681,787× 535,544× 608,751× 846,547× 613,885× 869,507× 1,259,767× 1,337,290× 690,340× 228,494× 133,681× 46,287× 65,772× 238,324× 482,057× 174,990× 186,513× 658,571× 432,296× 350,190× 384,830× 303,936× 817,408× 463,082× 315,837× 312,597× 247,429× 515,799× 723,830× 814,632× 536,426× 515,414× 217,194× 132,827× 18,345× 90,497× 113,500× 106,095× 40,514× 39,160× | 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: 1× 2,415,562× 5,770,396× 17,549,181× 27,350,737× 46,567,539× 67,104,114× 101,322,620× 142,921,993× 182,529,439× 226,515,897× 288,473,402× 338,014,262× 409,711,536× 477,295,660× 579,215,112× 632,215,933× 643,217,029× 687,319,558× 743,769,907× 770,869,288× 707,050,051× 702,960,367× 620,162,654× 588,892,148× 521,825,360× 433,152,863× 375,040,863× 313,312,270× 277,773,882× 230,505,333× 227,498,299× 194,341,207× 174,456,238× 155,353,810× 152,708,869× 158,847,173× 135,051,170× 109,703,825× 117,555,027× 86,894,588× 66,161,868× 46,727,085× 32,311,102× 15,051,455× 9,984,968× 2,392,092× 336,244× 40,807× |