Is 42438947 a prime number?
It is possible to find out using mathematical methods whether a given integer is a prime number or not.
Yes, 42 438 947 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 42 438 947, the only two divisors are 1 and 42 438 947. Therefore 42 438 947 is a prime number.
As a consequence, 42 438 947 is only a multiple of 1 and 42 438 947.
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Since 42438947 is a prime number, 42438947 is also a deficient number, that is to say 42438947 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 42438947 without 42438947 itself (that is 1, by definition!).