Is 74443009 a prime number?
It is possible to find out using mathematical methods whether a given integer is a prime number or not.
Yes, 74 443 009 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 74 443 009, the only two divisors are 1 and 74 443 009. Therefore 74 443 009 is a prime number.
As a consequence, 74 443 009 is only a multiple of 1 and 74 443 009.
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Since 74443009 is a prime number, 74443009 is also a deficient number, that is to say 74443009 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 74443009 without 74443009 itself (that is 1, by definition!).