Is 36748721 a prime number?
It is possible to find out using mathematical methods whether a given integer is a prime number or not.
Yes, 36 748 721 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 36 748 721, the only two divisors are 1 and 36 748 721. Therefore 36 748 721 is a prime number.
As a consequence, 36 748 721 is only a multiple of 1 and 36 748 721.
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Since 36748721 is a prime number, 36748721 is also a deficient number, that is to say 36748721 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 36748721 without 36748721 itself (that is 1, by definition!).
