The folowing table expresses '311' in various number bases. 'DRx' shows the result of 'digit reducing' resulting in an X-digit long number.
| Base | DR9 | DR8 | DR7 | DR6 | DR5 | DR4 | DR3 | DR2 | DR1 |
|---|---|---|---|---|---|---|---|---|---|
| 2 | 100110111 | 110 | 10 | 1 | |||||
| 3 | 102112 | 21,10 | 1 | ||||||
| 4 | 10313 | 20 | 2 | ||||||
| 5 | 2221 | 12 | 3 | ||||||
| 6 | 1235 | 15,10 | 1 | ||||||
| 7 | 623 | 14 | 5 | ||||||
| 8 | 467 | 21 | 3 | ||||||
| 9 | 375 | 16 | 7 | ||||||
| 10 | 311 | 5 | |||||||
| 11 | 263 | 10 | 1 | ||||||
| 12 | 21B | 12 | 3 | ||||||
| 13 | 1AC | 1A | B | ||||||
| 14 | 183 | C | |||||||
| 15 | 15B | 12 | 3 | ||||||
| 16 | 137 | B |
Factors: Prime