16212

16212 is a natural number that lies between 16211 and 16213. In mathematics, it is an even composite number with a prime factorization of 2^2 × 3 × 7 × 193. Because of its prime decomposition, 16212 has 24 positive divisors.

The sum of all divisors of 16212 (including 1 and itself) is 43456. This follows from the standard divisor-sum formula for a number with prime powers: (1 + 2 + 4) × (1 + 3) × (1 + 7) × (1 + 193) = 7 × 4 × 8 × 194 = 43456. The number is divisible by 2, 3, 4, 6 and by 7, among other divisors.

In terms of numeral representations, 16212 in binary is 11111101010100 and in hexadecimal it is 0x3F54. The decimal representation’s digits sum to 12, giving a digital root of 3.

Beyond pure arithmetic, 16212 can appear as an identifier in various systems, such as catalog numbers, product codes, or other labeling schemes. Like many integers used as identifiers, its specific meaning depends on context and the convention of the system in which it is employed. In general, 16212 is primarily notable as a concrete example of an even, composite 5-digit number with a well-defined prime factorization and associated divisor properties.