Is 82024009 a prime number?
It is possible to find out using mathematical methods whether a given integer is a prime number or not.
Yes, 82 024 009 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 82 024 009, the only two divisors are 1 and 82 024 009. Therefore 82 024 009 is a prime number.
As a consequence, 82 024 009 is only a multiple of 1 and 82 024 009.
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Since 82024009 is a prime number, 82024009 is also a deficient number, that is to say 82024009 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 82024009 without 82024009 itself (that is 1, by definition!).