Is 31009619 a prime number?
It is possible to find out using mathematical methods whether a given integer is a prime number or not.
Yes, 31 009 619 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 31 009 619, the only two divisors are 1 and 31 009 619. Therefore 31 009 619 is a prime number.
As a consequence, 31 009 619 is only a multiple of 1 and 31 009 619.
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Since 31009619 is a prime number, 31009619 is also a deficient number, that is to say 31009619 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 31009619 without 31009619 itself (that is 1, by definition!).