Is 42593423 a prime number?
It is possible to find out using mathematical methods whether a given integer is a prime number or not.
Yes, 42 593 423 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 42 593 423, the only two divisors are 1 and 42 593 423. Therefore 42 593 423 is a prime number.
As a consequence, 42 593 423 is only a multiple of 1 and 42 593 423.
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Since 42593423 is a prime number, 42593423 is also a deficient number, that is to say 42593423 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 42593423 without 42593423 itself (that is 1, by definition!).