Is 47367667 a prime number?
It is possible to find out using mathematical methods whether a given integer is a prime number or not.
Yes, 47 367 667 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 47 367 667, the only two divisors are 1 and 47 367 667. Therefore 47 367 667 is a prime number.
As a consequence, 47 367 667 is only a multiple of 1 and 47 367 667.
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Since 47367667 is a prime number, 47367667 is also a deficient number, that is to say 47367667 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 47367667 without 47367667 itself (that is 1, by definition!).