Is 80404007 a prime number?
It is possible to find out using mathematical methods whether a given integer is a prime number or not.
Yes, 80 404 007 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 80 404 007, the only two divisors are 1 and 80 404 007. Therefore 80 404 007 is a prime number.
As a consequence, 80 404 007 is only a multiple of 1 and 80 404 007.
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Since 80404007 is a prime number, 80404007 is also a deficient number, that is to say 80404007 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 80404007 without 80404007 itself (that is 1, by definition!).