Is 42250009 a prime number?
It is possible to find out using mathematical methods whether a given integer is a prime number or not.
Yes, 42 250 009 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 42 250 009, the only two divisors are 1 and 42 250 009. Therefore 42 250 009 is a prime number.
As a consequence, 42 250 009 is only a multiple of 1 and 42 250 009.
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Since 42250009 is a prime number, 42250009 is also a deficient number, that is to say 42250009 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 42250009 without 42250009 itself (that is 1, by definition!).