Is 74258489 a prime number?
It is possible to find out using mathematical methods whether a given integer is a prime number or not.
Yes, 74 258 489 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 74 258 489, the only two divisors are 1 and 74 258 489. Therefore 74 258 489 is a prime number.
As a consequence, 74 258 489 is only a multiple of 1 and 74 258 489.
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Since 74258489 is a prime number, 74258489 is also a deficient number, that is to say 74258489 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 74258489 without 74258489 itself (that is 1, by definition!).
