Is 17732009 a prime number?
It is possible to find out using mathematical methods whether a given integer is a prime number or not.
Yes, 17 732 009 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 17 732 009, the only two divisors are 1 and 17 732 009. Therefore 17 732 009 is a prime number.
As a consequence, 17 732 009 is only a multiple of 1 and 17 732 009.
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Since 17732009 is a prime number, 17732009 is also a deficient number, that is to say 17732009 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 17732009 without 17732009 itself (that is 1, by definition!).