Is 74716409 a prime number?
It is possible to find out using mathematical methods whether a given integer is a prime number or not.
Yes, 74 716 409 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 74 716 409, the only two divisors are 1 and 74 716 409. Therefore 74 716 409 is a prime number.
As a consequence, 74 716 409 is only a multiple of 1 and 74 716 409.
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Since 74716409 is a prime number, 74716409 is also a deficient number, that is to say 74716409 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 74716409 without 74716409 itself (that is 1, by definition!).