Is 37112729 a prime number?
It is possible to find out using mathematical methods whether a given integer is a prime number or not.
Yes, 37 112 729 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 37 112 729, the only two divisors are 1 and 37 112 729. Therefore 37 112 729 is a prime number.
As a consequence, 37 112 729 is only a multiple of 1 and 37 112 729.
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Since 37112729 is a prime number, 37112729 is also a deficient number, that is to say 37112729 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 37112729 without 37112729 itself (that is 1, by definition!).