Is 829472003 a prime number?
It is possible to find out using mathematical methods whether a given integer is a prime number or not.
Yes, 829 472 003 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 829 472 003, the only two divisors are 1 and 829 472 003. Therefore 829 472 003 is a prime number.
As a consequence, 829 472 003 is only a multiple of 1 and 829 472 003.
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Since 829472003 is a prime number, 829472003 is also a deficient number, that is to say 829472003 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 829472003 without 829472003 itself (that is 1, by definition!).