Is 40444973 a prime number?
It is possible to find out using mathematical methods whether a given integer is a prime number or not.
Yes, 40 444 973 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 40 444 973, the only two divisors are 1 and 40 444 973. Therefore 40 444 973 is a prime number.
As a consequence, 40 444 973 is only a multiple of 1 and 40 444 973.
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Since 40444973 is a prime number, 40444973 is also a deficient number, that is to say 40444973 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 40444973 without 40444973 itself (that is 1, by definition!).