Is 463989133 a prime number?
It is possible to find out using mathematical methods whether a given integer is a prime number or not.
Yes, 463 989 133 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 463 989 133, the only two divisors are 1 and 463 989 133. Therefore 463 989 133 is a prime number.
As a consequence, 463 989 133 is only a multiple of 1 and 463 989 133.
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Since 463989133 is a prime number, 463989133 is also a deficient number, that is to say 463989133 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 463989133 without 463989133 itself (that is 1, by definition!).