Is 42101249 a prime number?
It is possible to find out using mathematical methods whether a given integer is a prime number or not.
Yes, 42 101 249 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 42 101 249, the only two divisors are 1 and 42 101 249. Therefore 42 101 249 is a prime number.
As a consequence, 42 101 249 is only a multiple of 1 and 42 101 249.
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Since 42101249 is a prime number, 42101249 is also a deficient number, that is to say 42101249 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 42101249 without 42101249 itself (that is 1, by definition!).