4761

4761 is a natural number that immediately follows 4760 and precedes 4762. It is a perfect square, being the square of 69 (69 × 69 = 4761).

In its prime factorization, 4761 = 3^2 × 23^2, equivalently (3 × 23)^2. This makes 4761 a squareful number and ties its structure to the squares of the primes 3 and 23, both of which are congruent to 3 modulo 4. The number is divisible by 9 and by 529, with 4761/9 = 529 and 4761/529 = 9.

In base 2, 4761 is represented as 1001010011001_2. This reflects its status as a four-digit decimal number that translates to a 13-bit binary value.

Contextually, 4761 sits between the squares of 68 and 70: 68^2 = 4624 and 70^2 = 4900. As the square of a composite number, 4761 illustrates how perfect squares can arise from the product of squared primes (3^2 and 23^2) rather than from a single prime. Beyond its arithmetic properties, 4761 does not have widely recognized historical or cultural associations and is primarily noted for its factorization and its status as a square number.