Is 31009793 a prime number?
It is possible to find out using mathematical methods whether a given integer is a prime number or not.
Yes, 31 009 793 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 31 009 793, the only two divisors are 1 and 31 009 793. Therefore 31 009 793 is a prime number.
As a consequence, 31 009 793 is only a multiple of 1 and 31 009 793.
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Since 31009793 is a prime number, 31009793 is also a deficient number, that is to say 31009793 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 31009793 without 31009793 itself (that is 1, by definition!).