5441

5441 is a natural number that follows 5440 and precedes 5442. In mathematics it is a prime number, which means it has no positive divisors other than 1 and itself. It is odd and congruent to 1 modulo 4, a property that in number theory implies it can be expressed as a sum of two squares.

One concrete representation of 5441 as a sum of two squares is 71^2 + 20^2, illustrating Fermat’s theorem on sums of two squares for primes of the form 4k + 1. This representation is notable because, for primes with p ≡ 1 (mod 4), there is a unique essentially distinct representation as a sum of two squares.

Numeral representations of 5441 include decimal as 5441, hexadecimal as 0x1541, and binary as 0001010101000001 (or 1010101000001 when leading zeros are omitted). These alternate bases are sometimes used in computing and digital contexts.

In summary, 5441 is a prime number with a simple and exact expression as a sum of two squares, and it has recognizably distinct representations in common numeral systems.