# 2047

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## Summary

### Factorization

The number 2047 has the following prime factorization:

### Properties and families

Property or family | Parameter values | First few members | Proof of satisfaction/membership/containment |
---|---|---|---|

Mersenne number | 11, i.e., it is | plug and check | |

Poulet number (also called Sarrus number), i.e., Fermat pseudoprime to base 2 | eighth Poulet number | 341, 561, 645, 1105, 1387, 1729, 1905, 2047, [SHOW MORE] View list on OEIS |
Mersenne number for prime or Poulet implies prime or Poulet, 11 is prime, but is not prime, hence it must be Poulet. |