Is 37974037 a prime number?
It is possible to find out using mathematical methods whether a given integer is a prime number or not.
Yes, 37 974 037 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 37 974 037, the only two divisors are 1 and 37 974 037. Therefore 37 974 037 is a prime number.
As a consequence, 37 974 037 is only a multiple of 1 and 37 974 037.
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Since 37974037 is a prime number, 37974037 is also a deficient number, that is to say 37974037 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 37974037 without 37974037 itself (that is 1, by definition!).