Is 33431509 a prime number?
It is possible to find out using mathematical methods whether a given integer is a prime number or not.
Yes, 33 431 509 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 33 431 509, the only two divisors are 1 and 33 431 509. Therefore 33 431 509 is a prime number.
As a consequence, 33 431 509 is only a multiple of 1 and 33 431 509.
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Since 33431509 is a prime number, 33431509 is also a deficient number, that is to say 33431509 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 33431509 without 33431509 itself (that is 1, by definition!).