Is 40804021 a prime number?
It is possible to find out using mathematical methods whether a given integer is a prime number or not.
Yes, 40 804 021 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 40 804 021, the only two divisors are 1 and 40 804 021. Therefore 40 804 021 is a prime number.
As a consequence, 40 804 021 is only a multiple of 1 and 40 804 021.
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Since 40804021 is a prime number, 40804021 is also a deficient number, that is to say 40804021 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 40804021 without 40804021 itself (that is 1, by definition!).