Is 42345097 a prime number?
It is possible to find out using mathematical methods whether a given integer is a prime number or not.
Yes, 42 345 097 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 42 345 097, the only two divisors are 1 and 42 345 097. Therefore 42 345 097 is a prime number.
As a consequence, 42 345 097 is only a multiple of 1 and 42 345 097.
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Since 42345097 is a prime number, 42345097 is also a deficient number, that is to say 42345097 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 42345097 without 42345097 itself (that is 1, by definition!).