6840

6840 is an integer in the natural numbers, coming after 6839 and before 6841. In mathematics, it is an even composite number with several notable arithmetical properties.

Its prime factorization is 2^3 × 3^2 × 5 × 19. From this, the number of positive divisors is (3+1) × (2+1) × (1+1) × (1+1) = 48. The sum of all divisors, including 6840, is 23,400, so the sum of proper divisors is 23,400 − 6,840 = 16,560. Because the sum of proper divisors exceeds the number itself, 6840 is classified as an abundant number, with an abundance of 9,720.

In different base representations, 6840 appears as follows: binary 1101010111000, octal 15270, and hexadecimal 0x1AB8. It is also a Harshad (Niven) number in base 10, since 6 + 8 + 4 + 0 = 18 divides 6840 exactly (6840 ÷ 18 = 380).

Beyond pure number theory, 6840 may be encountered as a catalog, model, or identifier in various contexts, but no single widely recognized non-numerical meaning is tied to the sequence. As a four-digit natural number, it serves as a representative example of composite, abundant numbers with multiple factors and straightforward base representations.