Is 33129829 a prime number?
It is possible to find out using mathematical methods whether a given integer is a prime number or not.
Yes, 33 129 829 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 33 129 829, the only two divisors are 1 and 33 129 829. Therefore 33 129 829 is a prime number.
As a consequence, 33 129 829 is only a multiple of 1 and 33 129 829.
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Since 33129829 is a prime number, 33129829 is also a deficient number, that is to say 33129829 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 33129829 without 33129829 itself (that is 1, by definition!).