Is 508764397 a prime number?
It is possible to find out using mathematical methods whether a given integer is a prime number or not.
Yes, 508 764 397 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 508 764 397, the only two divisors are 1 and 508 764 397. Therefore 508 764 397 is a prime number.
As a consequence, 508 764 397 is only a multiple of 1 and 508 764 397.
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Since 508764397 is a prime number, 508764397 is also a deficient number, that is to say 508764397 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 508764397 without 508764397 itself (that is 1, by definition!).