Is 48279667 a prime number?
It is possible to find out using mathematical methods whether a given integer is a prime number or not.
Yes, 48 279 667 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 48 279 667, the only two divisors are 1 and 48 279 667. Therefore 48 279 667 is a prime number.
As a consequence, 48 279 667 is only a multiple of 1 and 48 279 667.
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Since 48279667 is a prime number, 48279667 is also a deficient number, that is to say 48279667 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 48279667 without 48279667 itself (that is 1, by definition!).
