Is 42742891 a prime number?
It is possible to find out using mathematical methods whether a given integer is a prime number or not.
Yes, 42 742 891 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 42 742 891, the only two divisors are 1 and 42 742 891. Therefore 42 742 891 is a prime number.
As a consequence, 42 742 891 is only a multiple of 1 and 42 742 891.
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Since 42742891 is a prime number, 42742891 is also a deficient number, that is to say 42742891 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 42742891 without 42742891 itself (that is 1, by definition!).