1032

Here are quick properties of 1032 that often come up in exams. Let me know if you want a specific one worked out in more detail. - Prime factorization: 1032 = 2^3 × 3 × 43 - How: 1032 ÷ 2 = 516; ÷2 = 258; ÷2 = 129; ÷3 = 43; 43 is prime. - Divisors: 16 total. They are: 1, 2, 3, 4, 6, 8, 12, 24, 43, 86, 129, 172, 258, 344, 516, 1032 - Sum of divisors: 2640 - Sum of proper divisors (excluding 1032): 2640 − 1032 = 1608 - Abundance: 1032 is abundant (sum of proper divisors 1608 > 1032). - Common divisibility: - divisible by 8 (1032 = 8 × 129) - divisible by 12 (1032 = 12 × 86) - not divisible by 5 or 7; sum of digits is 6, so not divisible by 9 either - Binary and hex: - Binary: 10000001000_2 (since 1032 = 1024 + 8) - Hex: 0x408 If you want, I can turn this into a short practice problem (e.g., find number of divisors and sum of divisors for another number with a similar factorization, or verify whether a given number is abundant/deficient). What would you like to practice?