Is 463717039 a prime number?
It is possible to find out using mathematical methods whether a given integer is a prime number or not.
Yes, 463 717 039 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 463 717 039, the only two divisors are 1 and 463 717 039. Therefore 463 717 039 is a prime number.
As a consequence, 463 717 039 is only a multiple of 1 and 463 717 039.
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Since 463717039 is a prime number, 463717039 is also a deficient number, that is to say 463717039 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 463717039 without 463717039 itself (that is 1, by definition!).