Is 735129529 a prime number?
It is possible to find out using mathematical methods whether a given integer is a prime number or not.
Yes, 735 129 529 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 735 129 529, the only two divisors are 1 and 735 129 529. Therefore 735 129 529 is a prime number.
As a consequence, 735 129 529 is only a multiple of 1 and 735 129 529.
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Since 735129529 is a prime number, 735129529 is also a deficient number, that is to say 735129529 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 735129529 without 735129529 itself (that is 1, by definition!).
