Is 498401311 a prime number?
It is possible to find out using mathematical methods whether a given integer is a prime number or not.
Yes, 498 401 311 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 498 401 311, the only two divisors are 1 and 498 401 311. Therefore 498 401 311 is a prime number.
As a consequence, 498 401 311 is only a multiple of 1 and 498 401 311.
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Since 498401311 is a prime number, 498401311 is also a deficient number, that is to say 498401311 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 498401311 without 498401311 itself (that is 1, by definition!).