Is 46387709 a prime number?
It is possible to find out using mathematical methods whether a given integer is a prime number or not.
Yes, 46 387 709 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 46 387 709, the only two divisors are 1 and 46 387 709. Therefore 46 387 709 is a prime number.
As a consequence, 46 387 709 is only a multiple of 1 and 46 387 709.
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Since 46387709 is a prime number, 46387709 is also a deficient number, that is to say 46387709 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 46387709 without 46387709 itself (that is 1, by definition!).