Is 10609013 a prime number?
It is possible to find out using mathematical methods whether a given integer is a prime number or not.
Yes, 10 609 013 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 10 609 013, the only two divisors are 1 and 10 609 013. Therefore 10 609 013 is a prime number.
As a consequence, 10 609 013 is only a multiple of 1 and 10 609 013.
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Since 10609013 is a prime number, 10609013 is also a deficient number, that is to say 10609013 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 10609013 without 10609013 itself (that is 1, by definition!).