Is 46463959 a prime number?
It is possible to find out using mathematical methods whether a given integer is a prime number or not.
Yes, 46 463 959 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 46 463 959, the only two divisors are 1 and 46 463 959. Therefore 46 463 959 is a prime number.
As a consequence, 46 463 959 is only a multiple of 1 and 46 463 959.
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Since 46463959 is a prime number, 46463959 is also a deficient number, that is to say 46463959 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 46463959 without 46463959 itself (that is 1, by definition!).