Is 463813069 a prime number?
It is possible to find out using mathematical methods whether a given integer is a prime number or not.
Yes, 463 813 069 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 463 813 069, the only two divisors are 1 and 463 813 069. Therefore 463 813 069 is a prime number.
As a consequence, 463 813 069 is only a multiple of 1 and 463 813 069.
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Since 463813069 is a prime number, 463813069 is also a deficient number, that is to say 463813069 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 463813069 without 463813069 itself (that is 1, by definition!).