Is 31006069 a prime number?
It is possible to find out using mathematical methods whether a given integer is a prime number or not.
Yes, 31 006 069 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 31 006 069, the only two divisors are 1 and 31 006 069. Therefore 31 006 069 is a prime number.
As a consequence, 31 006 069 is only a multiple of 1 and 31 006 069.
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Since 31006069 is a prime number, 31006069 is also a deficient number, that is to say 31006069 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 31006069 without 31006069 itself (that is 1, by definition!).