Is 429277813 a prime number?
It is possible to find out using mathematical methods whether a given integer is a prime number or not.
Yes, 429 277 813 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 429 277 813, the only two divisors are 1 and 429 277 813. Therefore 429 277 813 is a prime number.
As a consequence, 429 277 813 is only a multiple of 1 and 429 277 813.
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Since 429277813 is a prime number, 429277813 is also a deficient number, that is to say 429277813 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 429277813 without 429277813 itself (that is 1, by definition!).