Is 40829501 a prime number?
It is possible to find out using mathematical methods whether a given integer is a prime number or not.
Yes, 40 829 501 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 40 829 501, the only two divisors are 1 and 40 829 501. Therefore 40 829 501 is a prime number.
As a consequence, 40 829 501 is only a multiple of 1 and 40 829 501.
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Since 40829501 is a prime number, 40829501 is also a deficient number, that is to say 40829501 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 40829501 without 40829501 itself (that is 1, by definition!).