Is 424401709 a prime number?
It is possible to find out using mathematical methods whether a given integer is a prime number or not.
Yes, 424 401 709 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 424 401 709, the only two divisors are 1 and 424 401 709. Therefore 424 401 709 is a prime number.
As a consequence, 424 401 709 is only a multiple of 1 and 424 401 709.
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Since 424401709 is a prime number, 424401709 is also a deficient number, that is to say 424401709 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 424401709 without 424401709 itself (that is 1, by definition!).