Is 18003023 a prime number?
It is possible to find out using mathematical methods whether a given integer is a prime number or not.
Yes, 18 003 023 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 18 003 023, the only two divisors are 1 and 18 003 023. Therefore 18 003 023 is a prime number.
As a consequence, 18 003 023 is only a multiple of 1 and 18 003 023.
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Since 18003023 is a prime number, 18003023 is also a deficient number, that is to say 18003023 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 18003023 without 18003023 itself (that is 1, by definition!).