# Is 17783111 a prime number?

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

Yes, 17 783 111 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 17 783 111, the only two divisors are 1 and 17 783 111. Therefore 17 783 111 is a prime number.

As a consequence, 17 783 111 is only a multiple of 1 and 17 783 111.

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Since 17783111 is a prime number, 17783111 is also a deficient number, that is to say 17783111 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 17783111 without 17783111 itself (that is 1, by definition!).