Is 31007929 a prime number?
It is possible to find out using mathematical methods whether a given integer is a prime number or not.
Yes, 31 007 929 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 31 007 929, the only two divisors are 1 and 31 007 929. Therefore 31 007 929 is a prime number.
As a consequence, 31 007 929 is only a multiple of 1 and 31 007 929.
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Since 31007929 is a prime number, 31007929 is also a deficient number, that is to say 31007929 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 31007929 without 31007929 itself (that is 1, by definition!).