6462

6462 is a positive integer in base 10, located between 6461 and 6463. In arithmetic terms, it is an even and composite number with several noteworthy properties.

Its prime factorization is 2 × 3^2 × 359, giving it twelve positive divisors: 1, 2, 3, 6, 9, 18, 359, 718, 1077, 2154, 3231, and 6462. The sum of all divisors is 14,040, which implies that the sum of proper divisors is 7,578. Because the sum of proper divisors exceeds the number itself, 6462 is classified as an abundant number.

The decimal digit sum of 6462 is 6 + 4 + 6 + 2 = 18, and 6462 is divisible by 18, yielding a quotient of 359. This makes 6462 a Harshad (Niven) number in base 10.

For different numeral systems, 6462 is represented as 0x193E in hexadecimal and as 1100100111110 in binary. In relation to nearby squares, 6462 lies between 80^2 (6400) and 81^2 (6561).

Beyond these standard identifiers, 6462 does not have a widely noted special designation in mathematics or culture. Its significance rests primarily in its arithmetic structure as an even, abundant, and Harshad composite number with a clear prime factorization.