Is 37493509 a prime number?
It is possible to find out using mathematical methods whether a given integer is a prime number or not.
Yes, 37 493 509 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 37 493 509, the only two divisors are 1 and 37 493 509. Therefore 37 493 509 is a prime number.
As a consequence, 37 493 509 is only a multiple of 1 and 37 493 509.
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Since 37493509 is a prime number, 37493509 is also a deficient number, that is to say 37493509 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 37493509 without 37493509 itself (that is 1, by definition!).