Is 13601909 a prime number?
It is possible to find out using mathematical methods whether a given integer is a prime number or not.
Yes, 13 601 909 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 13 601 909, the only two divisors are 1 and 13 601 909. Therefore 13 601 909 is a prime number.
As a consequence, 13 601 909 is only a multiple of 1 and 13 601 909.
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Since 13601909 is a prime number, 13601909 is also a deficient number, that is to say 13601909 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 13601909 without 13601909 itself (that is 1, by definition!).