Is 463129897 a prime number?
It is possible to find out using mathematical methods whether a given integer is a prime number or not.
Yes, 463 129 897 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 463 129 897, the only two divisors are 1 and 463 129 897. Therefore 463 129 897 is a prime number.
As a consequence, 463 129 897 is only a multiple of 1 and 463 129 897.
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Since 463129897 is a prime number, 463129897 is also a deficient number, that is to say 463129897 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 463129897 without 463129897 itself (that is 1, by definition!).