Is 37984313 a prime number?
It is possible to find out using mathematical methods whether a given integer is a prime number or not.
Yes, 37 984 313 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 37 984 313, the only two divisors are 1 and 37 984 313. Therefore 37 984 313 is a prime number.
As a consequence, 37 984 313 is only a multiple of 1 and 37 984 313.
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Since 37984313 is a prime number, 37984313 is also a deficient number, that is to say 37984313 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 37984313 without 37984313 itself (that is 1, by definition!).