Is 74201723 a prime number?
It is possible to find out using mathematical methods whether a given integer is a prime number or not.
Yes, 74 201 723 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 74 201 723, the only two divisors are 1 and 74 201 723. Therefore 74 201 723 is a prime number.
As a consequence, 74 201 723 is only a multiple of 1 and 74 201 723.
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Since 74201723 is a prime number, 74201723 is also a deficient number, that is to say 74201723 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 74201723 without 74201723 itself (that is 1, by definition!).
