Is 37675307 a prime number?
It is possible to find out using mathematical methods whether a given integer is a prime number or not.
Yes, 37 675 307 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 37 675 307, the only two divisors are 1 and 37 675 307. Therefore 37 675 307 is a prime number.
As a consequence, 37 675 307 is only a multiple of 1 and 37 675 307.
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Since 37675307 is a prime number, 37675307 is also a deficient number, that is to say 37675307 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 37675307 without 37675307 itself (that is 1, by definition!).