8144

8144 is a positive integer that sits between 8143 and 8145. In mathematics, it is classified as an even composite number.

The prime factorization of 8144 is 2^4 × 509, where 509 is a prime number. From this factorization, the positive divisors are 1, 2, 4, 8, 16, 509, 1018, 2036, 4072, and 8144. The number is therefore divisible by 2, 4, 8, 16, and by 509, but not by 3 or 5. Its square root is approximately 90.2, so 8144 is not a perfect square.

In different numeral systems, 8144 has these representations: binary 1111111010000_2, hexadecimal 0x1FD0, and octal 17720_8. Its digital sum is 8+1+4+4 = 17, with a digital root of 8.

As a product of a power of two and a prime, 8144 serves as an example of numbers of the form 2^k × p with k ≥ 1 and p prime. Such numbers commonly arise in discussions of factorization, divisibility, and modular arithmetic.

See also: integer, prime factorization, base representations, divisors.