2961

2961 is a natural number that follows 2960 and precedes 2962. It is an odd composite number with a prime factorization of 2961 = 3^2 · 7 · 47, meaning it is divisible by 9, 7, and 47.

The number has 12 positive divisors: 1, 3, 7, 9, 21, 47, 63, 141, 329, 423, 987, and 2961. The sum of all divisors is 4992, so the sum of its proper divisors (excluding 2961) is 2031. These factors reflect the multiplicative structure 3^2 · 7 · 47, which also explains the divisor count formula (2+1)(1+1)(1+1) = 12.

In different bases, 2961 is represented as 101110010001 in binary and as 0xB91 in hexadecimal. Its approximate square root is 54.4, since 54^2 = 2916 and 55^2 = 3025, placing 2961 between those squares.

As a specific integer, 2961 does not have widely cited special properties beyond its factorization and base representations. It serves as an example of a relatively small composite number with a straightforward prime factorization and a complete set of divisors.