Is 37509881 a prime number?
It is possible to find out using mathematical methods whether a given integer is a prime number or not.
Yes, 37 509 881 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 37 509 881, the only two divisors are 1 and 37 509 881. Therefore 37 509 881 is a prime number.
As a consequence, 37 509 881 is only a multiple of 1 and 37 509 881.
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Since 37509881 is a prime number, 37509881 is also a deficient number, that is to say 37509881 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 37509881 without 37509881 itself (that is 1, by definition!).