Is 48818921 a prime number?
It is possible to find out using mathematical methods whether a given integer is a prime number or not.
Yes, 48 818 921 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 48 818 921, the only two divisors are 1 and 48 818 921. Therefore 48 818 921 is a prime number.
As a consequence, 48 818 921 is only a multiple of 1 and 48 818 921.
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Since 48818921 is a prime number, 48818921 is also a deficient number, that is to say 48818921 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 48818921 without 48818921 itself (that is 1, by definition!).