| 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 |
| 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 | # Cycles (excluding fixed) (excluding zero) |
# Fixed Points (cycle length 1) (excluding zero) |
Fixed Points (excluding zero) (bold = exactly 1 fixed point [excluding zero], no other cycles) |
|---|---|---|---|
| 1 | 0 cycles | 0 fixed pts | - |
| 2 | 1 cycle | 0 fixed pts | - |
| 3 | 0 cycles | 1 fixed pt | 8H9 |
| 4 | 2 cycles | 0 fixed pts | - |
| 5 | 1 cycle | 1 fixed pt | C5HB6 |
| 6 | 4 cycles | 1 fixed pt | 98HH89 |
| 7 | 1 cycle | 0 fixed pts | - |
| 8 | 5 cycles | 1 fixed pt | CB5HHB66 |
| 9 | 3 cycles | 1 fixed pt | 998HHH889 |
| 10 | 6 cycles | 3 fixed pts | C7652ECBA6, HFD90G8421, CC65HHBB56 |
| 11 | 2 cycles | 2 fixed pts | FC962HEB853, CBB5HHHB666 |
| 12 | 17 cycles | 2 fixed pts | HHFD90G84201, 9998HHHH8889 |
| 13 | 2 cycles | 1 fixed pt | CCB65HHHBB656 |
| 14 | 45 cycles | 3 fixed pts | EDA763HHDBA744, HHHFD90G842001, CBBB5HHHHB6666 |
| 15 | 3 cycles | 3 fixed pts | GEC9751HFCA8532, CCC665HHHBBB556, 99998HHHHH88889 |
| 16 | 102 cycles | 2 fixed pts | HHHHFD90G8420001, CCBB65HHHHBB6656 |
| 17 | 3 cycles | 2 fixed pts | GECA8641HFDB97532, CBBBB5HHHHHB66666 |
| 18 | 236 cycles | 6 fixed pts | CB7765532EECCBAA66, HFDB97530GECA86421, HFFDD9910GG8844221, HHHHHFD90G84200001, CCCB665HHHHBBB6556, 999998HHHHHH888889 |
| 19 | 3 cycles | 1 fixed pt | CCBBB65HHHHHBB66656 |