4088

4088 is a natural number that follows 4087 and precedes 4089. It is an even, composite integer with several noteworthy mathematical properties.

In mathematics, the prime factorization of 4088 is 2^3 × 7 × 73. Accordingly, it has 16 positive divisors. The sum of all positive divisors is 8880, which means the sum of proper divisors is 4792; since this exceeds 4088, 4088 is classified as an abundant number. The digit sum is 4+0+8+8 = 20, so 4088 is not a Harshad (Niven) number in base 10. Its representations in common bases include binary 111111111000, hexadecimal 0xFF8, and octal 07770.

Geographically, 4088 may appear as a catalog or model number in various domains, and as a year it would refer to a distant future (4088 CE) or, in historical terms, a year far before the modern era if used in the context of 4088 BCE. Without a specific domain or context, 4088 does not denote a single widely recognized object or event.

Overall, 4088 is primarily noted for its arithmetic properties as an even, abundant, composite number with a clear prime factorization and standard base representations. Its significance outside pure number theory depends on the particular system or catalog in which the number is used.