# Is 33550331 a prime number?

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

Yes, 33 550 331 is a prime number.

Indeed, the definition of a prime numbers is to have exactly two distinct positive divisors, 1 and itself. A number is a divisor of another number when the remainder of Euclid’s division of the second one by the first one is zero. Concerning the number 33 550 331, the only two divisors are 1 and 33 550 331. Therefore 33 550 331 is a prime number.

As a consequence, 33 550 331 is only a multiple of 1 and 33 550 331.

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Since 33550331 is a prime number, 33550331 is also a deficient number, that is to say 33550331 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 33550331 without 33550331 itself (that is 1, by definition!).