Is 508270423 a prime number?
It is possible to find out using mathematical methods whether a given integer is a prime number or not.
Yes, 508 270 423 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 508 270 423, the only two divisors are 1 and 508 270 423. Therefore 508 270 423 is a prime number.
As a consequence, 508 270 423 is only a multiple of 1 and 508 270 423.
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Since 508270423 is a prime number, 508270423 is also a deficient number, that is to say 508270423 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 508270423 without 508270423 itself (that is 1, by definition!).