11836

11836 is a natural number that sits between 11835 and 11837. In number theory, it is an even composite integer with the prime factorization 11836 = 2^2 × 11 × 269. This factorization implies it has 12 positive divisors: 1, 2, 4, 11, 22, 44, 269, 538, 1076, 2959, 5918, and 11836. The sum of all divisors is 22680, so the sum of proper divisors is 10844.

In various base representations, 11836 appears as 10111000111100 in binary, 0x2E3C in hexadecimal, and 27074 in octal. The number is divisible by 4, 11, and 269 (11836 ÷ 4 = 2959, 11836 ÷ 11 = 1076, 11836 ÷ 269 = 44), reflecting its prime-factor structure. It is not a prime, not a square, and it does not belong to any widely highlighted mathematical constant.

As a general mathematical object, 11836 may appear in examples involving factorization, divisors, or modular arithmetic. There are no widely recognized named theorems or constants specifically associated with this number. Like many integers, 11836 contributes to broader patterns in arithmetic, such as divisor sums and factorization properties, but on its own it is treated as a typical composite integer within standard number-theoretic discussions.