Is 18006137 a prime number?
It is possible to find out using mathematical methods whether a given integer is a prime number or not.
Yes, 18 006 137 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 18 006 137, the only two divisors are 1 and 18 006 137. Therefore 18 006 137 is a prime number.
As a consequence, 18 006 137 is only a multiple of 1 and 18 006 137.
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Since 18006137 is a prime number, 18006137 is also a deficient number, that is to say 18006137 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 18006137 without 18006137 itself (that is 1, by definition!).