Is 18138409 a prime number?
It is possible to find out using mathematical methods whether a given integer is a prime number or not.
Yes, 18 138 409 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 18 138 409, the only two divisors are 1 and 18 138 409. Therefore 18 138 409 is a prime number.
As a consequence, 18 138 409 is only a multiple of 1 and 18 138 409.
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Since 18138409 is a prime number, 18138409 is also a deficient number, that is to say 18138409 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 18138409 without 18138409 itself (that is 1, by definition!).
