Is 42829561 a prime number?
It is possible to find out using mathematical methods whether a given integer is a prime number or not.
Yes, 42 829 561 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 42 829 561, the only two divisors are 1 and 42 829 561. Therefore 42 829 561 is a prime number.
As a consequence, 42 829 561 is only a multiple of 1 and 42 829 561.
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Since 42829561 is a prime number, 42829561 is also a deficient number, that is to say 42829561 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 42829561 without 42829561 itself (that is 1, by definition!).