Is 42698041 a prime number?
It is possible to find out using mathematical methods whether a given integer is a prime number or not.
Yes, 42 698 041 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 42 698 041, the only two divisors are 1 and 42 698 041. Therefore 42 698 041 is a prime number.
As a consequence, 42 698 041 is only a multiple of 1 and 42 698 041.
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Since 42698041 is a prime number, 42698041 is also a deficient number, that is to say 42698041 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 42698041 without 42698041 itself (that is 1, by definition!).