Is 24584009 a prime number?
It is possible to find out using mathematical methods whether a given integer is a prime number or not.
Yes, 24 584 009 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 24 584 009, the only two divisors are 1 and 24 584 009. Therefore 24 584 009 is a prime number.
As a consequence, 24 584 009 is only a multiple of 1 and 24 584 009.
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Since 24584009 is a prime number, 24584009 is also a deficient number, that is to say 24584009 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 24584009 without 24584009 itself (that is 1, by definition!).