11648

11648 is a natural number that lies between 11647 and 11649. It is an even, composite integer with multiple small prime factors.

Its prime factorization is 11648 = 2^7 × 7 × 13, giving it 32 positive divisors in total. The sum of its divisors, denoted sigma(11648), is 28,560, so the aliquot sum (the sum of proper divisors) equals 28,560 − 11,648 = 16,912. These factors make 11648 divisible by 2, 7, and 13, and its 2-adic valuation is 7 (it is divisible by 2^7).

In different bases, 11648 has representations such as binary 10110110000000, octal 2660, and hexadecimal 2D80. In decimal, its digits sum to 20, which means it is not a Harshad (Niven) number in base 10.

There is no widely noted mathematical significance attached to 11648 beyond its straightforward factorization and divisor properties. It serves as an example of a relatively small, highly composite-like number with a simple factor structure, useful in exercises dealing with divisors, modular arithmetic, and base representations.

See also numbers in the 11000s range, prime factorization, divisor function, and base representations.