Is 48762331 a prime number?
It is possible to find out using mathematical methods whether a given integer is a prime number or not.
Yes, 48 762 331 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 48 762 331, the only two divisors are 1 and 48 762 331. Therefore 48 762 331 is a prime number.
As a consequence, 48 762 331 is only a multiple of 1 and 48 762 331.
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Since 48762331 is a prime number, 48762331 is also a deficient number, that is to say 48762331 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 48762331 without 48762331 itself (that is 1, by definition!).