Is 46908007 a prime number?
It is possible to find out using mathematical methods whether a given integer is a prime number or not.
Yes, 46 908 007 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 46 908 007, the only two divisors are 1 and 46 908 007. Therefore 46 908 007 is a prime number.
As a consequence, 46 908 007 is only a multiple of 1 and 46 908 007.
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Since 46908007 is a prime number, 46908007 is also a deficient number, that is to say 46908007 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 46908007 without 46908007 itself (that is 1, by definition!).