Is 489201221 a prime number?
It is possible to find out using mathematical methods whether a given integer is a prime number or not.
Yes, 489 201 221 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 489 201 221, the only two divisors are 1 and 489 201 221. Therefore 489 201 221 is a prime number.
As a consequence, 489 201 221 is only a multiple of 1 and 489 201 221.
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Since 489201221 is a prime number, 489201221 is also a deficient number, that is to say 489201221 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 489201221 without 489201221 itself (that is 1, by definition!).
