Is 42938657 a prime number?
It is possible to find out using mathematical methods whether a given integer is a prime number or not.
Yes, 42 938 657 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 42 938 657, the only two divisors are 1 and 42 938 657. Therefore 42 938 657 is a prime number.
As a consequence, 42 938 657 is only a multiple of 1 and 42 938 657.
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Since 42938657 is a prime number, 42938657 is also a deficient number, that is to say 42938657 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 42938657 without 42938657 itself (that is 1, by definition!).