Is 746212507 a prime number?
It is possible to find out using mathematical methods whether a given integer is a prime number or not.
Yes, 746 212 507 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 746 212 507, the only two divisors are 1 and 746 212 507. Therefore 746 212 507 is a prime number.
As a consequence, 746 212 507 is only a multiple of 1 and 746 212 507.
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Since 746212507 is a prime number, 746212507 is also a deficient number, that is to say 746212507 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 746212507 without 746212507 itself (that is 1, by definition!).
