| 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 |
| 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 | 8 | 9 |
|---|---|---|---|---|---|---|---|---|---|
| Average Steps Cycle Start | 0.98 step avg | 1.45 step avg | 9.49 step avg | 3.10 step avg | 11.89 step avg | 33.78 step avg | 14.48 step avg | 81.85 step avg | 21.96 step avg |
| Step Frequency Cycle Start | 0s: 1s: 1× 41× | 0s: 1s: 2s: 12× 471× 420× | 0s: 1s: 2s: 3s: 4s: 5s: 6s: 7s: 8s: 9s: 10s: 11s: 12s: 13s: 14s: 15s: 16s: 17s: 18s: 19s: 20s: 21s: 22s: 1× 503× 460× 918× 910× 898× 882× 862× 838× 810× 778× 742× 702× 658× 610× 558× 502× 442× 378× 310× 238× 162× 82× | 0s: 1s: 2s: 3s: 4s: 5s: 6s: 7s: 1× 8,621× 21,690× 86,940× 15,081× 12,845× 2,169× 1,648× | 0s: 1s: 2s: 3s: 4s: 5s: 6s: 7s: 8s: 9s: 10s: 11s: 12s: 13s: 14s: 15s: 16s: 17s: 18s: 19s: 20s: 21s: 1× 4,533× 5,786× 8,306× 18,506× 29,862× 52,704× 77,228× 88,752× 88,134× 134,858× 121,818× 124,424× 131,224× 125,004× 96,978× 84,194× 65,722× 53,196× 38,088× 16,998× 4,438× | 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: 1× 72,504× 196,839× 186,707× 142,525× 175,238× 155,006× 192,902× 205,473× 213,483× 167,976× 171,120× 179,293× 148,653× 167,340× 160,424× 174,129× 194,235× 224,237× 195,888× 169,382× 164,377× 138,119× 111,811× 144,995× 161,746× 195,256× 163,629× 134,058× 174,760× 162,528× 198,691× 188,770× 174,140× 178,595× 154,866× 136,052× 173,547× 135,082× 117,734× 153,589× 152,415× 183,059× 198,366× 213,182× 189,075× 177,365× 164,884× 132,309× 125,417× 123,770× 139,364× 99,134× 84,096× 106,417× 140,114× 122,992× 150,663× 128,282× 85,783× 84,284× 69,984× 68,328× 89,979× 91,519× 63,607× 52,649× 69,293× 69,709× 72,941× 62,957× 53,418× 68,032× 59,121× 59,686× 51,623× 45,312× 16,664× 14,126× 22,134× 17,722× 42,768× 33,297× 32,464× 26,055× 6,354× 10,320× 10,840× | 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: 1× 62,125× 166,628× 357,780× 515,378× 672,844× 831,402× 1,244,846× 1,875,498× 2,816,890× 3,953,402× 4,784,488× 5,043,406× 5,777,264× 5,661,154× 6,458,058× 7,198,514× 8,076,418× 6,874,610× 4,905,870× 3,339,148× 1,876,332× 616,886× 281,062× 146,770× 87,098× 5,200× | 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: 1× 1,067,335× 4,999,243× 5,338,141× 5,885,844× 5,889,266× 5,629,574× 4,743,796× 4,965,839× 5,216,388× 4,810,911× 4,103,217× 4,674,927× 4,300,408× 4,112,675× 3,834,284× 4,349,804× 4,682,841× 4,764,215× 4,525,787× 4,139,030× 3,735,738× 3,922,363× 3,643,103× 3,412,238× 3,390,351× 3,243,367× 3,556,019× 3,386,148× 3,033,590× 2,954,884× 3,099,705× 2,589,055× 2,730,073× 2,535,493× 2,562,578× 2,941,393× 2,693,258× 2,425,548× 2,488,597× 2,900,681× 2,670,930× 3,052,262× 3,281,011× 3,083,325× 3,187,597× 3,119,150× 2,902,020× 2,633,624× 1,987,546× 2,066,717× 2,124,102× 2,108,910× 2,398,855× 2,258,704× 1,564,777× 1,511,504× 1,529,634× 1,869,653× 1,896,759× 1,804,149× 1,945,186× 2,053,854× 2,077,993× 2,496,384× 2,605,484× 2,275,439× 2,088,428× 1,830,919× 1,435,739× 1,248,941× 1,101,216× 1,250,111× 1,295,206× 902,702× 995,104× 1,322,586× 1,328,619× 1,091,492× 1,080,457× 953,318× 919,192× 1,046,770× 1,137,614× 1,178,703× 921,837× 844,395× 891,900× 868,758× 905,204× 1,017,307× 991,023× 1,113,670× 1,388,343× 905,712× 1,360,253× 1,432,116× 1,623,778× 1,959,279× 2,024,898× 2,483,573× 2,927,307× 2,766,519× 2,505,575× 2,245,577× 2,628,109× 2,589,676× 2,562,413× 2,736,600× 2,818,707× 2,721,199× 2,842,563× 2,308,890× 1,847,509× 1,959,690× 1,760,055× 1,863,968× 2,279,924× 2,942,893× 2,928,047× 2,603,612× 2,559,840× 2,688,167× 2,584,941× 2,664,164× 2,479,593× 2,884,937× 3,053,916× 3,035,416× 3,055,362× 3,328,732× 3,508,024× 4,504,916× 4,456,879× 3,873,063× 3,069,326× 2,756,514× 2,483,832× 2,541,948× 2,322,425× 2,265,157× 2,589,575× 2,618,395× 2,578,931× 2,475,570× 2,484,906× 2,385,537× 2,328,030× 2,117,842× 2,194,789× 2,268,040× 2,294,082× 2,211,724× 1,770,330× 1,777,313× 1,728,456× 1,721,278× 1,674,165× 1,839,596× 1,749,562× 1,418,732× 1,378,512× 1,316,612× 1,448,020× 1,364,891× 1,551,076× 1,884,231× 2,173,307× 1,854,355× 1,412,063× 1,028,085× 1,175,327× 1,262,498× 1,130,024× 1,243,847× 1,150,037× 962,348× 744,029× 804,499× 631,891× 663,416× 646,572× 777,951× 996,123× 850,560× 646,492× 742,082× 428,331× 254,302× 240,583× 261,471× 129,790× 98,034× 99,529× 198,745× 154,868× 135,297× 164,477× 175,214× 223,581× 246,842× 427,115× 255,619× 212,492× 129,546× 161,902× 226,019× 325,381× 308,948× 277,647× 255,589× 306,339× 263,538× 284,053× 427,903× 364,172× 345,258× 351,366× 441,625× 640,885× 505,165× 592,529× 377,280× 409,074× 303,233× 186,251× 189,560× 155,709× 280,728× 107,860× 48,138× 82,266× 81,792× 56,740× 29,586× 11,568× | 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× 1,829,159× 7,976,008× 19,328,876× 38,260,926× 62,087,722× 91,314,956× 123,216,198× 118,723,144× 127,711,426× 120,470,908× 115,821,406× 93,725,026× 63,639,102× 47,968,008× 36,397,072× 49,530,696× 43,874,438× 49,050,690× 50,562,604× 43,497,162× 42,504,640× 31,715,710× 21,753,080× 16,476,850× 18,104,432× 23,676,202× 39,364,548× 35,647,154× 43,319,172× 40,254,108× 39,104,266× 42,472,310× 46,438,506× 62,019,156× 75,323,776× 104,219,160× 98,953,120× 113,903,410× 96,695,830× 75,313,336× 55,546,502× 36,239,032× 21,494,170× 12,524,118× 5,189,592× 1,669,928× 437,740× 88,324× |