Is 33982007 a prime number?
It is possible to find out using mathematical methods whether a given integer is a prime number or not.
Yes, 33 982 007 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 33 982 007, the only two divisors are 1 and 33 982 007. Therefore 33 982 007 is a prime number.
As a consequence, 33 982 007 is only a multiple of 1 and 33 982 007.
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Since 33982007 is a prime number, 33982007 is also a deficient number, that is to say 33982007 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 33982007 without 33982007 itself (that is 1, by definition!).