3876

3876 is a positive integer that follows 3875 and precedes 3877. In decimal, it is written as 3876 and has several notable arithmetic properties.

Its prime factorization is 2^2 × 3 × 17 × 19. This makes 3876 a composite number. The exponent pattern gives it 24 positive divisors in total. The sum of all divisors is 10,080, which implies that the sum of proper divisors is 6,204; since this exceeds 3,876, 3876 is classified as an abundant number.

In different representations, 3876 appears as 0xF24 in hexadecimal and as 0b111100100100 in binary. Its Roman numeral representation is MMMDCCCLXXVI. The digits of 3876 sum to 24, giving a digital root of 6.

If considered as a year in the Gregorian calendar, 3876 would be a leap year because it is divisible by 4 but not by 100 (3876 mod 400 equals 276). As a leap year, it would have 366 days.

Summary: 3876 is an even, composite, and abundant number with a rich set of representations across numeral systems. Its factorization into 2^2 × 3 × 17 × 19 yields a total of 24 divisors, and its various bases and calendar interpretation reflect its multiple mathematical and cultural contexts.