Is 31008077 a prime number?
It is possible to find out using mathematical methods whether a given integer is a prime number or not.
Yes, 31 008 077 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 31 008 077, the only two divisors are 1 and 31 008 077. Therefore 31 008 077 is a prime number.
As a consequence, 31 008 077 is only a multiple of 1 and 31 008 077.
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Since 31008077 is a prime number, 31008077 is also a deficient number, that is to say 31008077 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 31008077 without 31008077 itself (that is 1, by definition!).