Is 31007923 a prime number?
It is possible to find out using mathematical methods whether a given integer is a prime number or not.
Yes, 31 007 923 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 31 007 923, the only two divisors are 1 and 31 007 923. Therefore 31 007 923 is a prime number.
As a consequence, 31 007 923 is only a multiple of 1 and 31 007 923.
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Since 31007923 is a prime number, 31007923 is also a deficient number, that is to say 31007923 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 31007923 without 31007923 itself (that is 1, by definition!).