Is 42021997 a prime number?
It is possible to find out using mathematical methods whether a given integer is a prime number or not.
Yes, 42 021 997 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 42 021 997, the only two divisors are 1 and 42 021 997. Therefore 42 021 997 is a prime number.
As a consequence, 42 021 997 is only a multiple of 1 and 42 021 997.
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Since 42021997 is a prime number, 42021997 is also a deficient number, that is to say 42021997 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 42021997 without 42021997 itself (that is 1, by definition!).