# Is 559 a prime number?

It is possible to find out using mathematical methods whether a given integer is a prime number or not.

For 559, the answer is: No, 559 is not a prime number.

The list of all positive divisors (i.e., the list of all integers that divide 559) is as follows: 1, 13, 43, 559.

For 559 to be a prime number, it would have been required that 559 has only two divisors, i.e., itself and 1.

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As a consequence:

For 559 to be a prime number, it would have been required that 559 has only two divisors, i.e., itself and 1.

However, 559 is a **semiprime** (also called biprime or 2-almost-prime), because it is the product of a two non-necessarily distinct prime numbers. Indeed, 559 = 13 x 43, where 13 and 43 are both prime numbers.

### Is 559 a deficient number?

Yes, 559 is a deficient number, that is to say 559 is a natural number that is strictly larger than the sum of its proper divisors, i.e., the divisors of 559 without 559 itself (that is 1 + 13 + 43 = 57).