6408

6408 is a natural number that follows 6407 and precedes 6409. It is an even, composite four-digit integer with several simple arithmetic properties.

Its prime factorization is 2^3 × 3^2 × 89, which makes it equal to 72 × 89 and explains why it has 24 positive divisors. The divisors include 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72, and their multiples by 89 such as 89, 178, 267, 356, 534, 712, 801, 1068, 1602, 2136, 3216, and 6408.

In decimal notation, 6408 is a Harshad (Niven) number because it is divisible by the sum of its digits (6 + 4 + 0 + 8 = 18; 6408 ÷ 18 = 356). Its representations in other bases include hexadecimal, where 6408 equals 0x1908, and binary, where it is 1100100001000.

From a numerical perspective, 6408 is not a prime, not a perfect square or cube, and has a square root just over 80. Its factorization shows it is the product of small primes and a larger prime (89), giving it a straightforward, well-defined divisor structure. Beyond its role as a four-digit integer, 6408 is primarily of interest in number theory as an example of a composite number with a concise prime decomposition.