Is 42842509 a prime number?
It is possible to find out using mathematical methods whether a given integer is a prime number or not.
Yes, 42 842 509 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 42 842 509, the only two divisors are 1 and 42 842 509. Therefore 42 842 509 is a prime number.
As a consequence, 42 842 509 is only a multiple of 1 and 42 842 509.
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Since 42842509 is a prime number, 42842509 is also a deficient number, that is to say 42842509 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 42842509 without 42842509 itself (that is 1, by definition!).