11844

11844 is the natural number following 11843 and preceding 11845. It is an even composite integer with several elementary arithmetic properties used in number theory and computational contexts.

The prime factorization of 11844 is 2^2 × 3^2 × 7 × 47. From this factorization it has (2+1)(2+1)(1+1)(1+1) = 36 positive divisors. The sum of all divisors (sigma function) equals 34,944, so the sum of proper divisors is 23,100; because this exceeds the number itself, 11844 is classified as an abundant number (abundance 11,256). Its digit sum in base 10 is 1+1+8+4+4 = 18, which shows divisibility by 3.

In common positional representations, 11844 is written in binary as 10111001000100, in octal as 27104, and in hexadecimal as 0x2E44. It is divisible by small primes including 2, 3, 7, and 47, and is not prime. Beyond these arithmetic descriptors, 11844 has no widely recognized special status in standard mathematical sequences or cultural references.