| Radix Character Encoding | |||||||||
|---|---|---|---|---|---|---|---|---|---|
| 0 | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 |
| 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 | # Full Cycles (excluding zero) |
Nodes | ||||||
|---|---|---|---|---|---|---|---|---|
| 1 | 2 | 3 | 4 | 5 | 6 | 7 | ||
| 2 | 1 cycle | - | - | - | - | 45× | - | - |
| 4 | 1 cycle | 705× | - | - | - | - | - | - |
| 6 | 3 cycles | 382× | - | - | - | - | - | 4,613× |
| 8 | 4 cycles | 621× | - | 12,051× | - | - | - | 11,628× |
| 10 | 8 cycles | 6,151× | - | 64,634× | - | - | - | 21,583× |
| 12 | 16 cycles | 6,979× | - | 234,788× | - | - | - | 52,153× |
| 14 | 27 cycles | 31,257× | - | 671,493× | - | - | - | 114,430× |
| 16 | 46 cycles | 53,473× | 22,116× | 1,654,149× | - | - | - | 313,227× |
| 18 | 73 cycles | 386,507× | - | 3,707,218× | - | - | - | 593,090× |
| 20 | 110 cycles | 735,409× | - | 7,903,501× | - | 659,020× | - | 717,065× |
| 22 | 162 cycles | 750,095× | - | 14,306,576× | - | 4,217,036× | - | 886,358× |
| 24 | 231 cycles | 1,073,855× | - | 25,614,889× | - | 10,961,281× | - | 917,065× |
| 26 | 318 cycles | 2,213,846× | - | 43,756,390× | - | 23,544,832× | - | 1,092,382× |
| 28 | 429 cycles | 21,074,683× | - | 75,509,466× | - | 26,312,355× | - | 1,507,106× |
| 30 | 572 cycles | 33,492,534× | 221,372× | 159,077,720× | - | 17,407,499× | - | 1,715,997× |
| 32 | 747 cycles | 28,111,602× | 318,564× | 303,415,543× | - | 16,824,140× | - | 1,673,706× |
| 34 | 963 cycles | 33,851,370× | 1,035,730× | 511,080,652× | - | 15,663,798× | - | 2,290,435× |
| 36 | 1,229 cycles | 46,891,227× | - | 819,948,824× | - | 15,820,016× | - | 3,503,058× |
| 38 | 1,551 cycles | 65,400,039× | - | 1,259,879,815× | - | 33,042,508× | - | 4,326,773× |
| 40 | 1,939 cycles | 53,042,153× | - | 1,867,214,562× | - | 128,789,030× | - | 5,409,879× |
| 42 | 2,401 cycles | 59,873,917× | - | 2,723,158,729× | - | 252,258,194× | - | 7,021,500× |
| 44 | 2,948 cycles | 83,575,568× | 705,380× | 3,877,826,253× | - | 461,558,168× | - | 7,948,171× |
| 46 | 3,586 cycles | 419,597,949× | 1,133,822× | 5,507,605,190× | - | 422,620,616× | - | 7,444,463× |
| 48 | 4,330 cycles | 576,030,788× | 3,036,618× | 8,204,302,135× | - | 202,369,824× | - | 10,723,100× |
| 50 | 5,194 cycles | 384,383,964× | 6,841,050× | 11,977,846,094× | - | 183,472,298× | - | 13,127,845× |
| 52 | 6,191 cycles | 449,417,086× | 14,114,390× | 16,702,071,991× | - | 161,168,770× | - | 14,991,258× |
| 54 | 7,338 cycles | 590,541,148× | - | 22,896,086,020× | - | 163,704,096× | - | 17,358,541× |
| 56 | 8,650 cycles | 827,234,745× | - | 30,834,734,675× | - | 279,816,230× | - | 24,964,220× |
| 58 | 10,149 cycles | 630,864,938× | 2,042,394× | 40,945,293,951× | - | 1,154,795,126× | - | 24,707,141× |
| 60 | 11,844 cycles | 674,519,811× | 2,733,474× | 53,866,332,571× | - | 2,100,490,254× | - | 27,998,768× |
| 62 | 13,756 cycles | 832,428,393× | 6,340,488× | 70,021,119,442× | - | 3,581,277,582× | - | 32,713,565× |
| 64 | 15,908 cycles | 3,312,133,045× | 15,174,302× | 90,714,536,242× | - | 3,004,309,482× | - | 35,868,384× |
| 66 | 18,321 cycles | 4,247,072,879× | 29,846,752× | 120,043,149,935× | - | 1,232,542,838× | - | 43,009,761× |
| 68 | 21,020 cycles | 2,649,558,744× | 45,535,870× | 157,534,750,733× | - | 1,046,725,006× | - | 45,989,112× |
| 70 | 24,028 cycles | 2,963,260,621× | 73,541,380× | 201,808,739,557× | - | 904,941,664× | - | 61,030,533× |
| 72 | 27,378 cycles | 3,771,118,652× | 4,216,668× | 256,146,955,196× | - | 892,006,628× | - | 73,537,196× |
| 74 | 31,087 cycles | 5,365,870,484× | 5,901,864× | 321,887,507,721× | - | 1,365,138,458× | - | 69,139,513× |
| 76 | 35,188 cycles | 4,009,037,914× | 12,464,390× | 401,472,680,116× | - | 6,161,330,068× | - | 76,418,112× |
| 78 | 39,712 cycles | 4,186,491,638× | 26,120,178× | 498,149,120,721× | - | 10,469,580,422× | - | 85,487,701× |