Is 498349421 a prime number?
It is possible to find out using mathematical methods whether a given integer is a prime number or not.
Yes, 498 349 421 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 498 349 421, the only two divisors are 1 and 498 349 421. Therefore 498 349 421 is a prime number.
As a consequence, 498 349 421 is only a multiple of 1 and 498 349 421.
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Since 498349421 is a prime number, 498349421 is also a deficient number, that is to say 498349421 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 498349421 without 498349421 itself (that is 1, by definition!).