Is 13727023 a prime number?
It is possible to find out using mathematical methods whether a given integer is a prime number or not.
Yes, 13 727 023 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 13 727 023, the only two divisors are 1 and 13 727 023. Therefore 13 727 023 is a prime number.
As a consequence, 13 727 023 is only a multiple of 1 and 13 727 023.
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Since 13727023 is a prime number, 13727023 is also a deficient number, that is to say 13727023 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 13727023 without 13727023 itself (that is 1, by definition!).