| 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 |
| 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 Full Cycle | 1.98 step avg | 10.39 step avg | 12.30 step avg | 22.63 step avg | 14.10 step avg | 78.29 step avg | 16.74 step avg | 58.01 step avg | 37.28 step avg |
| Step Frequency Full Cycle | 0s: 1s: 2s: 0× 1× 48× | 0s: 1s: 2s: 3s: 4s: 5s: 6s: 7s: 8s: 9s: 10s: 11s: 12s: 13s: 0× 1× 49× 81× 38× 96× 0× 0× 0× 0× 5× 237× 238× 480× | 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: 0× 1× 48× 1,249× 621× 1,240× 1,230× 1,216× 1,198× 1,176× 1,150× 1,120× 1,086× 1,048× 1,006× 960× 910× 856× 798× 736× 670× 600× 526× 448× 366× 280× 190× 96× | 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: 0× 1× 48× 0× 1,036× 1,911× 0× 0× 0× 0× 0× 0× 0× 0× 0× 0× 0× 0× 0× 0× 0× 0× 63,364× 187,589× 16,152× 624× | 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: 0× 1× 48× 0× 14,541× 37,718× 34,937× 47,248× 86,523× 110,123× 174,335× 191,173× 265,389× 247,525× 311,997× 274,411× 310,237× 194,454× 212,703× 137,345× 104,227× 64,055× 34,301× 13,384× 2,483× 431× 96× | 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: 0× 1× 48× 0× 0× 0× 0× 0× 0× 7,551× 30,294× 50,710× 52,110× 84,785× 40,120× 27,519× 53,259× 58,206× 84,309× 104,512× 52,474× 73,102× 81,000× 67,455× 119,374× 251,895× 171,656× 213,162× 223,222× 232,782× 240,444× 269,847× 277,725× 156,719× 209,052× 268,282× 311,966× 286,973× 255,284× 127,188× 121,105× 64,783× 39,403× 29,334× 18,977× 23,141× 17,095× 14,049× 2,224× 322× 0× 0× 0× 0× 0× 0× 0× 0× 0× 0× 0× 0× 0× 0× 0× 0× 0× 0× 0× 0× 0× 106,308× 273,709× 590,108× 434,907× 589,672× 862,654× 786,009× 683,195× 754,754× 679,898× 648,017× 692,196× 588,861× 616,932× 694,554× 608,084× 657,352× 628,842× 528,858× 478,145× 477,778× 597,366× 683,423× 671,668× 586,058× 526,055× 557,601× 603,221× 488,913× 351,217× 324,397× 263,504× 262,275× 253,872× 203,109× 185,294× 235,689× 216,746× 229,217× 210,500× 166,784× 185,971× 157,990× 178,549× 156,507× 104,412× 90,316× 51,200× 28,000× 21,050× 7,050× 5,706× 4,035× 6,533× 18,386× 259× | 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: 0× 1× 48× 111,912× 287,800× 802,056× 1,833,708× 3,483,085× 4,634,405× 6,822,351× 8,334,057× 10,239,224× 11,881,040× 14,610,347× 15,792,392× 17,137,555× 14,960,482× 14,295,210× 10,633,421× 8,292,954× 6,896,150× 6,592,518× 6,033,994× 6,653,031× 6,934,407× 7,017,293× 6,775,851× 4,254,067× 2,498,459× 1,695,238× 1,391,310× 1,041,447× 582,995× 287,280× 121,637× | 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: 0× 1× 48× 0× 0× 0× 0× 0× 0× 0× 0× 84,600× 356,416× 2,000,211× 2,567,581× 5,736,007× 12,792,049× 16,165,042× 17,963,729× 24,572,087× 16,186,792× 19,428,873× 22,843,455× 18,012,041× 19,546,932× 24,301,946× 26,062,204× 20,654,374× 22,432,681× 19,224,511× 23,045,787× 23,081,657× 20,576,568× 22,231,332× 25,308,728× 25,296,239× 29,333,813× 38,359,628× 38,201,327× 39,984,411× 29,646,595× 29,525,606× 23,581,293× 28,283,824× 25,648,553× 30,351,466× 23,523,171× 18,341,160× 17,285,638× 13,769,369× 11,628,885× 7,896,605× 6,159,527× 8,546,948× 7,980,874× 8,686,971× 6,526,368× 4,940,141× 5,619,432× 6,074,319× 5,121,806× 6,529,147× 3,767,505× 1,661,462× 2,287,537× 2,502,816× 4,754,655× 3,649,674× 3,965,897× 5,345,115× 9,087,165× 12,515,738× 13,046,293× 7,927,024× 6,442,707× 7,695,461× 6,049,355× 4,728,931× 4,407,348× 3,832,344× 1,951,955× 3,155,093× 3,621,793× 7,685,767× 3,337,911× 1,899,948× 2,605,532× 6,382,943× 3,491,826× 3,180,818× 5,839,154× 8,710,741× 15,030,075× 16,796,257× 13,735,969× 9,578,212× 6,438,336× 6,904,498× 10,582,425× 18,460,325× 21,974,473× 25,326,408× 20,979,019× 15,094,635× 12,888,017× 13,287,793× 11,875,097× 11,182,713× 5,876,189× 5,704,576× 5,251,604× 4,661,372× 6,026,751× 7,424,110× 10,250,439× 8,827,200× 7,165,668× 5,208,951× 7,687,728× 10,296,539× 6,658,845× 5,272,699× 3,986,283× 4,266,412× 2,942,754× 3,396,167× 1,865,182× 1,774,433× 2,559,056× 5,021,968× 3,546,207× 2,088,482× 1,145,316× 418,858× 380,453× 801,442× 832,050× 171,151× 101,473× 76,700× 26,089× 26,334× 36,637× 109,492× 277,714× 233,262× 78,009× 229,016× 100,516× 6,420× | 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: 0× 1× 259,148× 1,682,761× 5,849,020× 11,803,983× 22,157,230× 35,168,741× 57,369,558× 77,032,401× 75,008,824× 84,148,256× 69,993,802× 69,756,869× 68,191,205× 82,049,441× 75,148,922× 69,602,073× 66,283,658× 33,975,001× 16,418,644× 8,475,507× 2,712,201× 110,415× 2,940,573× 14,617,691× 34,684,495× 74,292,995× 132,623,051× 180,112,244× 286,148,115× 318,316,047× 398,598,675× 438,350,515× 432,284,896× 425,217,892× 404,357,016× 370,444,389× 374,231,269× 317,691,951× 333,594,528× 307,890,379× 329,406,646× 338,379,414× 327,869,531× 281,757,621× 230,583,532× 210,298,224× 185,097,096× 153,941,185× 169,306,677× 154,678,751× 155,536,687× 125,001,852× 117,078,185× 98,562,921× 96,526,487× 71,169,730× 51,617,603× 37,644,294× 29,726,732× 21,867,849× 12,294,821× 8,949,382× 6,838,330× 2,254,438× 423,605× 45,940× 10,560× |