Is 42573631 a prime number?
It is possible to find out using mathematical methods whether a given integer is a prime number or not.
Yes, 42 573 631 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 42 573 631, the only two divisors are 1 and 42 573 631. Therefore 42 573 631 is a prime number.
As a consequence, 42 573 631 is only a multiple of 1 and 42 573 631.
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Since 42573631 is a prime number, 42573631 is also a deficient number, that is to say 42573631 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 42573631 without 42573631 itself (that is 1, by definition!).