Is 26874509 a prime number?
It is possible to find out using mathematical methods whether a given integer is a prime number or not.
Yes, 26 874 509 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 26 874 509, the only two divisors are 1 and 26 874 509. Therefore 26 874 509 is a prime number.
As a consequence, 26 874 509 is only a multiple of 1 and 26 874 509.
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Since 26874509 is a prime number, 26874509 is also a deficient number, that is to say 26874509 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 26874509 without 26874509 itself (that is 1, by definition!).