3121

3121 is a natural number that follows 3120 and precedes 3122. In mathematics, it is a prime number, meaning it has no positive divisors other than 1 and itself. It is odd and, being congruent to 1 modulo 4, it can be expressed as a sum of two squares.

A notable representation is 3121 = 39^2 + 40^2, which illustrates the sum-of-two-squares property associated with primes congruent to 1 mod 4.

In common numeral systems, 3121 has the following representations: binary 110000110001, hexadecimal 0xC31, and octal 6061.

3121 also appears in popular culture as the title of a 2006 studio album by American musician Michael Jackson. The album is generally described as his tenth studio release and was issued during his career with distribution by major record labels active at the time.

Summary:

- Number: 3121

- Type: prime, odd, 1 mod 4

- Sum of two squares: 39^2 + 40^2

- Base representations: binary 110000110001, hex 0xC31, octal 6061

- Cultural reference: 2006 Michael Jackson studio album, titled 3121

As a prime with a simple sum-of-two-squares representation and multiple base forms, 3121 is a small but interesting example in elementary number theory.