Is 42084269 a prime number?
It is possible to find out using mathematical methods whether a given integer is a prime number or not.
Yes, 42 084 269 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 42 084 269, the only two divisors are 1 and 42 084 269. Therefore 42 084 269 is a prime number.
As a consequence, 42 084 269 is only a multiple of 1 and 42 084 269.
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Since 42084269 is a prime number, 42084269 is also a deficient number, that is to say 42084269 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 42084269 without 42084269 itself (that is 1, by definition!).