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?