Is 488144843 a prime number?
It is possible to find out using mathematical methods whether a given integer is a prime number or not.
Yes, 488 144 843 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 488 144 843, the only two divisors are 1 and 488 144 843. Therefore 488 144 843 is a prime number.
As a consequence, 488 144 843 is only a multiple of 1 and 488 144 843.
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Since 488144843 is a prime number, 488144843 is also a deficient number, that is to say 488144843 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 488144843 without 488144843 itself (that is 1, by definition!).