4188

4188 is a natural number that comes after 4187 and before 4189. In mathematics, it is an even, composite integer with a prime factorization of 2^2 × 3 × 349.

The divisors of 4188 are 1, 2, 3, 4, 6, 12, 349, 698, 1047, 1396, 2094, and 4188, for a total of 12 positive divisors. The sum of all divisors is 9800, which makes the sum of its proper divisors 5612. Because this sum exceeds the number itself, 4188 is classified as an abundant number.

In terms of base representations, 4188 is 0x105C in hexadecimal and 10134 in octal. In Roman numerals, it can be written as MMMMCLXXXVIII, using four thousands (MMMM) followed by 188 (CLXXXVIII).

Additional mathematical notes about 4188 include its parity and factor structure: it is even due to the factor 2, and its divisors reflect the combination of the prime factors 2, 3, and 349. Its digits sum to 21, indicating divisibility by 3 but not by 9. The number can also be expressed as 12 × 349, highlighting its composite construction from smaller factors. Overall, 4188 is a straightforward example of an even, abundant, composite integer with a relatively simple prime factorization.