Is 448507729 a prime number?
It is possible to find out using mathematical methods whether a given integer is a prime number or not.
Yes, 448 507 729 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 448 507 729, the only two divisors are 1 and 448 507 729. Therefore 448 507 729 is a prime number.
As a consequence, 448 507 729 is only a multiple of 1 and 448 507 729.
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Since 448507729 is a prime number, 448507729 is also a deficient number, that is to say 448507729 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 448507729 without 448507729 itself (that is 1, by definition!).