Is 74241913 a prime number?
It is possible to find out using mathematical methods whether a given integer is a prime number or not.
Yes, 74 241 913 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 74 241 913, the only two divisors are 1 and 74 241 913. Therefore 74 241 913 is a prime number.
As a consequence, 74 241 913 is only a multiple of 1 and 74 241 913.
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Since 74241913 is a prime number, 74241913 is also a deficient number, that is to say 74241913 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 74241913 without 74241913 itself (that is 1, by definition!).