Is 498712163 a prime number?
It is possible to find out using mathematical methods whether a given integer is a prime number or not.
Yes, 498 712 163 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 498 712 163, the only two divisors are 1 and 498 712 163. Therefore 498 712 163 is a prime number.
As a consequence, 498 712 163 is only a multiple of 1 and 498 712 163.
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Since 498712163 is a prime number, 498712163 is also a deficient number, that is to say 498712163 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 498712163 without 498712163 itself (that is 1, by definition!).
