Is 701387563 a prime number?
It is possible to find out using mathematical methods whether a given integer is a prime number or not.
Yes, 701 387 563 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 701 387 563, the only two divisors are 1 and 701 387 563. Therefore 701 387 563 is a prime number.
As a consequence, 701 387 563 is only a multiple of 1 and 701 387 563.
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Since 701387563 is a prime number, 701387563 is also a deficient number, that is to say 701387563 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 701387563 without 701387563 itself (that is 1, by definition!).