Is 42628583 a prime number?
It is possible to find out using mathematical methods whether a given integer is a prime number or not.
Yes, 42 628 583 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 42 628 583, the only two divisors are 1 and 42 628 583. Therefore 42 628 583 is a prime number.
As a consequence, 42 628 583 is only a multiple of 1 and 42 628 583.
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Since 42628583 is a prime number, 42628583 is also a deficient number, that is to say 42628583 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 42628583 without 42628583 itself (that is 1, by definition!).