Is 42406129 a prime number?
It is possible to find out using mathematical methods whether a given integer is a prime number or not.
Yes, 42 406 129 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 42 406 129, the only two divisors are 1 and 42 406 129. Therefore 42 406 129 is a prime number.
As a consequence, 42 406 129 is only a multiple of 1 and 42 406 129.
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Since 42406129 is a prime number, 42406129 is also a deficient number, that is to say 42406129 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 42406129 without 42406129 itself (that is 1, by definition!).