5824

5824 is a positive integer that comes after 5823 and before 5825. It is an even and composite number with several notable arithmetic properties.

The prime factorization of 5824 is 2^6 × 7 × 13. This means the number is divisible by powers of two up to 2^6 as well as by 7 and 13, giving a rich set of divisors. In total, 5824 has 28 positive divisors.

In terms of size and representations, 5824 is between 76^2 and 77^2 (not a perfect square). Its decimal digits sum to 5 + 8 + 2 + 4 = 19, so its digital root is 1. In hexadecimal, 5824 is 0x16C0, and in binary it is 1011011000000.

A notable divisor-related property is that 5824 is an abundant number: the sum of its proper divisors is 8400, which exceeds 5824. This yields an abundance of 2576 and a sigma(n)/n ratio of approximately 2.44.

Because of its factorization, 5824 is divisible by consecutive powers of two up to 64 (2^6), along with 7 and 13, illustrating a highly factorable structure. Beyond these mathematical characteristics, 5824 does not have widely recognized significance in common cultural or historical contexts; its primary relevance resides in its arithmetic and representation as a concrete integer.