Is 47948819 a prime number?
It is possible to find out using mathematical methods whether a given integer is a prime number or not.
Yes, 47 948 819 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 47 948 819, the only two divisors are 1 and 47 948 819. Therefore 47 948 819 is a prime number.
As a consequence, 47 948 819 is only a multiple of 1 and 47 948 819.
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Since 47948819 is a prime number, 47948819 is also a deficient number, that is to say 47948819 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 47948819 without 47948819 itself (that is 1, by definition!).