Is 41756009 a prime number?
It is possible to find out using mathematical methods whether a given integer is a prime number or not.
Yes, 41 756 009 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 41 756 009, the only two divisors are 1 and 41 756 009. Therefore 41 756 009 is a prime number.
As a consequence, 41 756 009 is only a multiple of 1 and 41 756 009.
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Since 41756009 is a prime number, 41756009 is also a deficient number, that is to say 41756009 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 41756009 without 41756009 itself (that is 1, by definition!).