Is 46989743 a prime number?
It is possible to find out using mathematical methods whether a given integer is a prime number or not.
Yes, 46 989 743 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 46 989 743, the only two divisors are 1 and 46 989 743. Therefore 46 989 743 is a prime number.
As a consequence, 46 989 743 is only a multiple of 1 and 46 989 743.
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Since 46989743 is a prime number, 46989743 is also a deficient number, that is to say 46989743 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 46989743 without 46989743 itself (that is 1, by definition!).