7461

7461 is a natural number that comes after 7460 and before 7462. It is an odd composite integer with the prime factorization 3^2 × 829, where 829 is a prime number. Because the prime factors include 3 with an even exponent and 829, a prime congruent to 1 modulo 4, 7461 can be represented as a sum of two squares: 7461 = 81^2 + 30^2.

The sum of its digits is 18, so the number is divisible by 9. Indeed, 7461 = 9 × 829. The total number of positive divisors is six: 1, 3, 9, 829, 2487, 7461.

A representation as a sum of two squares is linked to the prime factorization, since 829 = 27^2 + 10^2 and 9 = 3^2. This yields 7461 = 9 × 829 = (3×27)^2 + (3×10)^2 = 81^2 + 30^2, illustrating its expressibility as a sum of two squares.

In common numeral systems, 7461 in binary is 1110100100101 and in hexadecimal it is 0x1D25. These representations reflect the same value in different bases and can be useful in computational contexts.

Overall, 7461 is a moderately sized composite number with a clear factorization, a straightforward sum-of-squares representation, and simple binary and hexadecimal forms.