Is 37748717 a prime number?
It is possible to find out using mathematical methods whether a given integer is a prime number or not.
Yes, 37 748 717 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 37 748 717, the only two divisors are 1 and 37 748 717. Therefore 37 748 717 is a prime number.
As a consequence, 37 748 717 is only a multiple of 1 and 37 748 717.
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Since 37748717 is a prime number, 37748717 is also a deficient number, that is to say 37748717 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 37748717 without 37748717 itself (that is 1, by definition!).