Is 488233211 a prime number?
It is possible to find out using mathematical methods whether a given integer is a prime number or not.
Yes, 488 233 211 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 488 233 211, the only two divisors are 1 and 488 233 211. Therefore 488 233 211 is a prime number.
As a consequence, 488 233 211 is only a multiple of 1 and 488 233 211.
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Since 488233211 is a prime number, 488233211 is also a deficient number, that is to say 488233211 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 488233211 without 488233211 itself (that is 1, by definition!).