4961

4961 is a natural number that comes after 4960 and before 4962. In mathematics, it is composite with prime factorization 4961 = 11^2 × 41, so its divisors are 1, 11, 41, 121, 451, and 4961. The sum of digits is 20, giving a digital root of 2, and 4961 is congruent to 1 modulo 4.

As a product of a square of a prime and another prime, it is one of many numbers expressible as a sum of two squares; indeed 4961 = 44^2 + 55^2. This representation can be obtained via the identity (4^2+5^2)(11^2+0^2) = 4961.

In various numeral systems, 4961 is represented as 0x1361 in hexadecimal and 1001101100001_2 in binary.

Culturally, 4961 is primarily of interest as a decimal numeral and a numerical identifier in catalogs; no widely noted mathematical constant or widely recognized named object is associated with this specific number.

The number of positive divisors is 6, making it a relatively small composite with a straightforward divisor structure. It is not a prime, not a power of a prime, and does not belong to common special-number sequences beyond its basic factorization.

See also: numbers 4960 and 4962, and the general class of integers of the form p^2 q with p, q primes.