7144

7144 is a natural number that falls between 7143 and 7145. In mathematics, it is notable for its prime factorization and divisors, and it appears in discussions of number properties and classifications.

The prime factorization of 7144 is 2^3 × 19 × 47. This yields 16 positive divisors in total. The sum of all divisors is 14400, which means the sum of proper divisors is 7256. Since 7256 > 7144, 7144 is classified as an abundant number with an abundance index of approximately 1.014.

In terms of digit-based properties, the decimal digit sum of 7144 is 7 + 1 + 4 + 4 = 16, so it is not a Harshad number in base 10. Representations in other bases include binary, octal, and hexadecimal: 7144 in binary is 1101111101000, in octal it is 15750, and in hexadecimal it is 0x1BE8.

Beyond pure mathematics, 7144 is used as an identifier in various cataloging and numbering systems, such as sequential designations for objects in databases, datasets, or astronomical catalogs. Numbers of this kind are commonly assigned in a consistent, incremental manner across different disciplines.

See also: neighboring integers 7143 and 7145, and general lists of natural numbers and their properties.