3971

3971 is a natural number that follows 3970 and precedes 3972. It is odd and composite.

In its prime factorization, 3971 equals 11 times 19 squared (11 × 19^2). Therefore its divisors are 1, 11, 19, 209, 361, and 3971. It is not squarefree, since 19 appears squared in the factorization; the square-free part is 11 times 19, which equals 209.

In base 2, 3971 is represented as 111110000011. In Roman numerals, it is written as MMMCMLXXI.

The sum of proper divisors of 3971 is 601, so it is a deficient number (the sum of its proper divisors is less than the number itself).

Modular properties include 3971 ≡ 2 (mod 3), 3971 ≡ 1 (mod 5), and 3971 ≡ 3 (mod 8).

As a number, 3971 does not have widely noted special significance beyond its arithmetic properties and typical use in counting, cataloging, and designations. It can appear in various contexts where integers are enumerated or classified.