7168

7168 is a positive integer. It is even and composite, with prime factorization 2^10 × 7. Its factorization shows it is a multiple of a power of two and a small odd prime, and it has 22 positive divisors (counted as (10+1)(1+1)).

In number theory, 7168 is an abundant number, since the sum of its proper divisors equals 9208, which exceeds 7168. Its total sum of divisors, σ(7168), equals 16376. This is greater than 2n (2 × 7168 = 14336), a characteristic feature of abundant numbers.

Representations of 7168 in various bases include binary 1110000000000_2 (or 0b1110000000000), hexadecimal 0x1C00, and octal 0o16000. In decimal form, 7168 equals 7 × 1024, i.e., 7 × 2^10, and is equal to 2^10 × 7.

In computing and digital memory contexts, 7168 bytes correspond to 7 kibibytes (7 KiB), since 1 KiB equals 1024 bytes. This makes 7168 a convenient unit in discussions of memory sizing, where powers of two are common but not always aligned to exact kilobyte (1000-byte) conventions.

Overall, 7168 is notable chiefly for its factorization as 2^10 × 7, its status as an abundant number, and its exact 7 KiB equivalent in memory terminology.

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