Is 74209673 a prime number?
It is possible to find out using mathematical methods whether a given integer is a prime number or not.
Yes, 74 209 673 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 74 209 673, the only two divisors are 1 and 74 209 673. Therefore 74 209 673 is a prime number.
As a consequence, 74 209 673 is only a multiple of 1 and 74 209 673.
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Since 74209673 is a prime number, 74209673 is also a deficient number, that is to say 74209673 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 74209673 without 74209673 itself (that is 1, by definition!).