4161

4161 is a natural number that follows 4160 and precedes 4162. It is an odd composite integer. The prime factorization of 4161 is 3 × 19 × 73, which makes it square-free. Consequently it has eight positive divisors: 1, 3, 19, 57, 73, 219, 1387, and 4161.

As a product of three distinct primes, 4161 is not a prime, nor is it a square or a higher power. The sum of all positive divisors is 5920, so the sum of proper divisors is 1759. Since 1759 is less than 4161, 4161 is a deficient number (not perfect or abundant). The digits add up to 12, indicating divisibility by 3, and indeed 4161 ≡ 0 (mod 3). It is also 1 modulo 4 and 1 modulo 5.

In different numeral systems, 4161 has representations such as binary 1000001000001 and hexadecimal 0x1041. These representations reflect its decomposition into powers of two and sixteen, respectively.

In mathematics, 4161 is often cited as an example of a square-free integer with three distinct prime factors. It has no simple expression as a square, cube, or other higher power, and it does not belong to common special sequences (such as triangular or Fibonacci numbers).

Outside pure number theory, 4161 may appear as an identifying number in catalogs, databases, or addresses, but there is no widely recognized mathematical or historical significance tied to a specific non-numeric meaning of 4161.