| 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 | 1.46 step avg | 10.62 step avg | 5.33 step avg | 12.88 step avg | 35.45 step avg | 10.21 step avg | 98.98 step avg | 14.16 step avg |
| Step Frequency Cycle Start | 0s: 1s: 1× 47× | 0s: 1s: 2s: 13× 611× 552× | 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: 1× 647× 598× 1,194× 1,186× 1,174× 1,158× 1,138× 1,114× 1,086× 1,054× 1,018× 978× 934× 886× 834× 778× 718× 654× 586× 514× 438× 358× 274× 186× 94× | 0s: 1s: 2s: 3s: 4s: 5s: 6s: 7s: 8s: 9s: 10s: 11s: 1× 3,844× 7,003× 20,188× 50,124× 77,416× 38,104× 25,346× 9,502× 6,588× 5,076× 6,708× | 0s: 1s: 2s: 3s: 4s: 5s: 6s: 7s: 8s: 9s: 10s: 11s: 12s: 13s: 14s: 15s: 16s: 17s: 18s: 19s: 20s: 21s: 22s: 23s: 1× 6,421× 8,092× 11,926× 26,514× 43,024× 75,890× 97,528× 135,482× 153,346× 230,336× 203,470× 235,540× 218,430× 218,086× 205,848× 188,550× 146,668× 129,364× 99,052× 77,444× 55,120× 25,918× 6,910× | 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: 1× 47,559× 114,556× 101,372× 88,736× 82,902× 123,268× 183,208× 220,497× 272,676× 372,021× 253,737× 240,130× 227,468× 206,388× 289,574× 293,815× 351,457× 419,440× 440,424× 481,189× 455,991× 410,676× 482,328× 455,573× 346,124× 429,675× 375,233× 455,001× 481,426× 458,719× 464,762× 434,530× 449,368× 343,293× 360,550× 399,313× 509,699× 446,586× 499,309× 513,409× 547,770× 529,036× 505,262× 581,867× 531,586× 475,912× 407,348× 393,208× 431,861× 432,514× 472,489× 523,843× 448,536× 359,662× 303,301× 241,105× 185,813× 186,680× 158,594× 194,754× 186,388× 144,666× 190,615× 109,944× 140,238× 148,235× 122,521× 104,292× 124,401× 71,894× 37,362× 18,456× 33,550× 15,236× 16,558× | 0s: 1s: 2s: 3s: 4s: 5s: 6s: 7s: 8s: 9s: 10s: 11s: 12s: 13s: 14s: 15s: 16s: 17s: 18s: 19s: 20s: 1× 515,687× 1,376,250× 2,821,314× 4,317,844× 6,617,650× 8,768,884× 13,032,552× 17,039,362× 18,625,856× 18,494,686× 19,450,566× 20,908,978× 17,025,864× 12,571,104× 6,613,500× 4,042,514× 2,410,708× 1,448,104× 639,536× 379,600× | 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: 1× 1,234,437× 5,481,500× 6,063,179× 7,394,009× 8,153,639× 11,497,851× 12,078,111× 11,906,454× 9,995,405× 8,994,351× 8,652,136× 9,328,823× 11,531,127× 11,421,116× 10,431,269× 9,965,048× 10,626,906× 10,024,688× 8,840,638× 8,075,748× 8,012,994× 8,798,649× 8,805,175× 8,512,898× 7,974,077× 7,928,069× 7,329,323× 8,216,892× 7,940,406× 7,728,039× 7,011,881× 7,078,506× 6,500,682× 6,875,822× 6,995,488× 7,285,047× 8,360,287× 7,148,019× 6,822,475× 6,428,817× 6,847,421× 5,119,319× 4,895,861× 5,022,618× 4,761,070× 4,191,408× 4,981,204× 4,824,832× 5,006,020× 5,268,604× 5,289,907× 4,531,821× 5,212,479× 6,257,664× 5,914,303× 5,175,247× 4,957,392× 5,908,480× 6,239,968× 7,661,260× 7,170,761× 6,619,064× 6,200,732× 6,241,490× 6,173,017× 6,620,234× 6,514,484× 6,513,201× 6,345,660× 6,812,140× 6,651,693× 6,248,278× 5,556,254× 6,149,574× 7,460,371× 7,701,700× 7,238,205× 7,006,946× 6,891,759× 7,129,734× 6,004,984× 6,096,441× 5,639,237× 5,969,760× 4,519,313× 4,445,112× 4,845,980× 4,564,971× 4,701,868× 4,951,049× 5,411,536× 4,861,188× 4,250,801× 5,334,874× 5,161,893× 4,195,654× 3,250,977× 3,767,077× 4,566,449× 4,184,609× 3,310,374× 3,188,926× 3,330,401× 3,070,805× 2,402,258× 2,538,556× 2,658,275× 3,696,583× 3,046,940× 2,662,899× 3,235,343× 4,038,156× 3,555,592× 3,466,491× 3,436,579× 3,615,459× 3,867,602× 3,880,145× 3,157,756× 2,983,318× 3,888,519× 3,864,002× 3,905,730× 3,991,220× 3,619,690× 4,363,051× 4,685,615× 3,965,766× 3,622,593× 4,055,559× 4,449,732× 4,885,849× 4,921,208× 4,340,940× 4,031,675× 4,199,744× 4,643,966× 5,240,429× 5,599,955× 5,095,898× 5,056,668× 4,526,290× 4,972,217× 5,697,382× 6,462,404× 5,304,547× 4,578,130× 4,293,433× 4,940,637× 4,915,533× 4,920,611× 5,044,893× 4,526,100× 4,998,840× 4,118,260× 4,427,002× 4,743,989× 4,259,843× 3,639,142× 3,962,576× 4,814,229× 5,185,719× 5,502,964× 6,123,728× 6,458,099× 5,907,644× 6,319,600× 6,392,209× 6,613,646× 6,506,686× 6,021,127× 6,403,218× 5,329,717× 4,990,345× 4,990,939× 4,615,046× 4,747,475× 4,846,497× 4,290,281× 3,936,095× 4,698,977× 5,186,814× 5,261,879× 4,959,516× 4,491,652× 4,772,462× 5,067,664× 5,021,158× 6,046,255× 4,972,471× 4,354,275× 3,008,003× 3,599,393× 4,044,906× 3,817,896× 3,968,159× 3,596,292× 3,557,142× 3,686,307× 3,115,425× 3,109,890× 3,005,766× 3,290,228× 2,247,414× 1,533,617× 1,825,816× 2,345,158× 2,442,506× 2,314,180× 1,700,244× 2,259,525× 3,244,318× 4,325,490× 4,323,242× 4,227,477× 3,724,714× 3,106,583× 2,935,240× 2,584,525× 3,110,352× 2,980,238× 2,887,787× 3,196,777× 3,455,412× 3,639,462× 3,506,370× 2,987,721× 2,844,376× 2,455,206× 2,622,670× 2,119,560× 1,569,738× 1,102,637× 1,085,106× 876,724× 1,138,837× 984,595× 988,137× 625,711× 427,782× 370,750× 604,958× 445,595× 313,358× 64,112× 4,236× 1,128× 1,146× | 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× 4,595,609× 23,196,738× 59,666,714× 118,143,678× 200,473,948× 284,732,348× 420,739,974× 489,402,724× 575,914,970× 568,515,124× 544,785,836× 486,845,560× 409,214,594× 328,873,034× 280,231,626× 253,442,524× 227,198,608× 234,874,836× 220,485,428× 258,911,894× 268,505,274× 276,680,242× 244,350,864× 169,526,424× 152,060,144× 107,171,206× 95,609,602× 74,952,770× 58,856,802× 59,692,340× 35,617,256× 21,647,466× 12,281,266× 5,771,796× 2,589,758× 409,422× |