Is 40337309 a prime number?
It is possible to find out using mathematical methods whether a given integer is a prime number or not.
Yes, 40 337 309 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 40 337 309, the only two divisors are 1 and 40 337 309. Therefore 40 337 309 is a prime number.
As a consequence, 40 337 309 is only a multiple of 1 and 40 337 309.
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Since 40337309 is a prime number, 40337309 is also a deficient number, that is to say 40337309 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 40337309 without 40337309 itself (that is 1, by definition!).