4932

4932 is an integer in the natural numbers that lies between 4931 and 4933. In mathematics, it is an even composite number with prime factorization 2^2 × 3^2 × 137. It has 18 positive divisors: 1, 2, 3, 4, 6, 9, 12, 18, 36, 137, 274, 411, 548, 822, 1233, 1644, 2466, 4932. It is divisible by 4 and by 9, and hence by 36 and by 18 as well.

In base representations, 4932 is 0x1344 in hexadecimal, 11504 in octal, and 1001101000100 in binary. It can be expressed as a sum of two squares: 66^2 + 24^2 = 4356 + 576 = 4932, which aligns with its factorization and a standard number-theory result that numbers whose prime factors congruent to 3 mod 4 occur with even exponent can be written as a sum of two squares (here the prime 3 appears with exponent 2).

As a practical property, the sum of its digits is 18, so the number is divisible by 18, making 4932 a Harshad (Niven) number in base 10.

Beyond pure arithmetic, 4932 does not have a widely recognized eponymous meaning in standard references. It commonly appears as a numeric value in catalogs or as a simple example number in mathematical discussions, illustrating factorization, multiple representations, and basic divisibility.

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