Is 33736709 a prime number?
It is possible to find out using mathematical methods whether a given integer is a prime number or not.
Yes, 33 736 709 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 33 736 709, the only two divisors are 1 and 33 736 709. Therefore 33 736 709 is a prime number.
As a consequence, 33 736 709 is only a multiple of 1 and 33 736 709.
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Since 33736709 is a prime number, 33736709 is also a deficient number, that is to say 33736709 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 33736709 without 33736709 itself (that is 1, by definition!).