4825

4825 is a natural number that follows 4824 and precedes 4826. It is an odd, composite integer with a prime factorization of 5^2 × 193.

Because of this factorization, 4825 has exactly six positive divisors: 1, 5, 25, 193, 965, and 4825. The quotient 4825/25 equals 193, which is itself prime, confirming the divisor structure as a product of a square of a prime and another prime.

In terms of representations in different bases, 4825 is written as 1001011011001 in binary, 11331 in octal, and 12D9 in hexadecimal. These forms reflect the same value across numeral systems: 2^12 + 2^9 + 2^7 + 2^6 + 2^4 + 2^3 + 2^0 equals 4825.

Some basic arithmetic properties include that 4825 is divisible by 5 and 25, but not by 3 or 9 (the sum of digits is 19). It is congruent to 1 modulo 4 and to 1 modulo 8, while it lies between the squares 69^2 = 4761 and 70^2 = 4900.

As a concrete attribute, 4825 is a member of the set of natural numbers with exactly six divisors, arising from its prime factorization as a^2 × b with a and b prime distinct. Its decimal, binary, octal, and hexadecimal representations illustrate how a single integer can be expressed in multiple numeral systems.