3828

3828 is a positive integer. It is an even and composite number, divisible by several small primes. Its prime factorization is 2^2 × 3 × 11 × 29, which implies a range of divisors and informs related arithmetic properties such as its totient and divisor sums.

3828 is the 87th triangular number, since 87 × 88 / 2 equals 3828. Its Euler totient value is 1120, derived from its prime factors. The number is also divisible by 12, since 3828 = 12 × 319, among other divisors.

The sum of all divisors σ(3828) equals 10080, so the sum of proper divisors is 6252. This makes 3828 an abundant number, because the sum of its proper divisors exceeds the number itself by 2424 (about 1.63 times 3828). In base representations, 3828 is 111011110100 in binary and EF4 in hexadecimal.

These properties—factorization, triangular number status, and base representations—illustrate how a single integer can be characterized through multiple lenses in elementary number theory.