Is 46736731 a prime number?
It is possible to find out using mathematical methods whether a given integer is a prime number or not.
Yes, 46 736 731 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 46 736 731, the only two divisors are 1 and 46 736 731. Therefore 46 736 731 is a prime number.
As a consequence, 46 736 731 is only a multiple of 1 and 46 736 731.
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Since 46736731 is a prime number, 46736731 is also a deficient number, that is to say 46736731 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 46736731 without 46736731 itself (that is 1, by definition!).