Is 48003113 a prime number?
It is possible to find out using mathematical methods whether a given integer is a prime number or not.
Yes, 48 003 113 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 48 003 113, the only two divisors are 1 and 48 003 113. Therefore 48 003 113 is a prime number.
As a consequence, 48 003 113 is only a multiple of 1 and 48 003 113.
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Since 48003113 is a prime number, 48003113 is also a deficient number, that is to say 48003113 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 48003113 without 48003113 itself (that is 1, by definition!).