Is 46972873 a prime number?
It is possible to find out using mathematical methods whether a given integer is a prime number or not.
Yes, 46 972 873 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 46 972 873, the only two divisors are 1 and 46 972 873. Therefore 46 972 873 is a prime number.
As a consequence, 46 972 873 is only a multiple of 1 and 46 972 873.
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Since 46972873 is a prime number, 46972873 is also a deficient number, that is to say 46972873 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 46972873 without 46972873 itself (that is 1, by definition!).