Is 42727723 a prime number?
It is possible to find out using mathematical methods whether a given integer is a prime number or not.
Yes, 42 727 723 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 42 727 723, the only two divisors are 1 and 42 727 723. Therefore 42 727 723 is a prime number.
As a consequence, 42 727 723 is only a multiple of 1 and 42 727 723.
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Since 42727723 is a prime number, 42727723 is also a deficient number, that is to say 42727723 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 42727723 without 42727723 itself (that is 1, by definition!).