Is 489709271 a prime number?
It is possible to find out using mathematical methods whether a given integer is a prime number or not.
Yes, 489 709 271 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 489 709 271, the only two divisors are 1 and 489 709 271. Therefore 489 709 271 is a prime number.
As a consequence, 489 709 271 is only a multiple of 1 and 489 709 271.
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Since 489709271 is a prime number, 489709271 is also a deficient number, that is to say 489709271 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 489709271 without 489709271 itself (that is 1, by definition!).
