Is 46980907 a prime number?
It is possible to find out using mathematical methods whether a given integer is a prime number or not.
Yes, 46 980 907 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 46 980 907, the only two divisors are 1 and 46 980 907. Therefore 46 980 907 is a prime number.
As a consequence, 46 980 907 is only a multiple of 1 and 46 980 907.
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Since 46980907 is a prime number, 46980907 is also a deficient number, that is to say 46980907 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 46980907 without 46980907 itself (that is 1, by definition!).