8172

8172 is an integer in the decimal numeral system. It is an even composite number, and its prime factorization is 2^2 × 3^2 × 227, so 8172 equals 36 × 227. Consequently, it is divisible by 4, 9, and 36, and thus by 12 and 18 as well (for example, 8172 ÷ 9 = 908 and 8172 ÷ 18 = 454). The sum of its decimal digits is 18, which makes 8172 a Harshad (Niven) number in base 10, since 8172 is divisible by 18.

8172 is not a prime, nor a perfect square or cube. In particular, because 227 ≡ 3 (mod 4) and occurs to the first power in the factorization, 8172 cannot be expressed as a sum of two integer squares.

In base representations, 8172 appears as follows: binary 1111111101100, octal 17754, and hexadecimal 0x1FEC.

Usage and context: as a four-digit decimal number appearing in numeric labels, identifiers, or catalogues, 8172 may occur in various administrative or data contexts. In pure number theory, it serves as an example of a multiple of a square (36) multiplied by a distinct prime (227), illustrating properties related to divisibility, digit sums, and representations in different bases.