6856

6856 is a natural number that follows 6855 and precedes 6857. It is an even, composite number with prime factorization 2^3 × 857, where 857 is a prime number. Consequently, 6856 has eight divisors: 1, 2, 4, 8, 857, 1714, 3428, and 6856.

The sum of all divisors of 6856 is 12,870, which means the sum of its proper divisors is 6,014. Since 6,014 is less than 6,856, 6856 is classified as a deficient number, with a deficiency of 842.

In different numeral bases, 6856 has the representations 1101011001000 in binary, 15310 in octal, and 1AC8 in hexadecimal. In decimal terms, the digit sum is 6 + 8 + 5 + 6 = 25. Because its factorization includes 8, the number is divisible by 8, and it is also divisible by 857.

6856 does not have widely noted mathematical or historical significance beyond its basic properties as a number. It is primarily of interest in number theory as an example of an even, deficient integer with a simple prime factorization.