Is 74390629 a prime number?
It is possible to find out using mathematical methods whether a given integer is a prime number or not.
Yes, 74 390 629 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 74 390 629, the only two divisors are 1 and 74 390 629. Therefore 74 390 629 is a prime number.
As a consequence, 74 390 629 is only a multiple of 1 and 74 390 629.
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Since 74390629 is a prime number, 74390629 is also a deficient number, that is to say 74390629 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 74390629 without 74390629 itself (that is 1, by definition!).