Is 12433009 a prime number?
It is possible to find out using mathematical methods whether a given integer is a prime number or not.
Yes, 12 433 009 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 12 433 009, the only two divisors are 1 and 12 433 009. Therefore 12 433 009 is a prime number.
As a consequence, 12 433 009 is only a multiple of 1 and 12 433 009.
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Since 12433009 is a prime number, 12433009 is also a deficient number, that is to say 12433009 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 12433009 without 12433009 itself (that is 1, by definition!).