Is 10034009 a prime number?
It is possible to find out using mathematical methods whether a given integer is a prime number or not.
Yes, 10 034 009 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 10 034 009, the only two divisors are 1 and 10 034 009. Therefore 10 034 009 is a prime number.
As a consequence, 10 034 009 is only a multiple of 1 and 10 034 009.
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Since 10034009 is a prime number, 10034009 is also a deficient number, that is to say 10034009 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 10034009 without 10034009 itself (that is 1, by definition!).