Is 42616073 a prime number?
It is possible to find out using mathematical methods whether a given integer is a prime number or not.
Yes, 42 616 073 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 42 616 073, the only two divisors are 1 and 42 616 073. Therefore 42 616 073 is a prime number.
As a consequence, 42 616 073 is only a multiple of 1 and 42 616 073.
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Since 42616073 is a prime number, 42616073 is also a deficient number, that is to say 42616073 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 42616073 without 42616073 itself (that is 1, by definition!).