6123

6123 is the natural number that comes after 6122 and before 6124. It is an odd composite number with prime factorization 3 × 13 × 157, which implies it has eight positive divisors: 1, 3, 13, 39, 157, 471, 2041, and 6123. The sum of its digits is 12, so the number is divisible by 3 but not by 9. It is not a prime, and it is not a perfect square or cube.

In common numeral systems, 6123 has the following representations: in binary it is 1011111101011, in octal 13753, and in hexadecimal 0x17EB. The decimal digit sum also shows that 6123 is not a Harshad number, since 6123 divided by 12 is not an integer. The number is congruent to 3 modulo 9, reflecting the digit-sum property.

Beyond pure mathematics, 6123 frequently appears as a convenient numeric label in catalogs, part numbers, or datasets due to its four-digit, non-special character. It is used as an example value in problem sets and demonstrations, where clear factorization and base-conversion properties aid explanation.

As a calendar reference, 6123 CE would lie far in the future; no widely recognized historical events are associated with this numeral. In short, 6123 is primarily of interest for its arithmetic structure and its role as a generic numeric identifier.