555

Here are quick, exam-friendly facts about 555. Tell me what you want to do (facts, or a practice problem?).

• Decimal factorization: 555 = 3 × 5 × 37
• Divisors (positive): 1, 3, 5, 15, 37, 111, 185, 555
• Number of divisors: 8
• Sum of divisors: 912 (so sum of proper divisors = 912 − 555 = 357)
• Divisibility: divisible by 3 and 5 (hence by 15), not divisible by 9
• Base-10 property: palindrome (reads the same forward and backward)
• Base conversions:
  • Binary: 1000101011
  • Hex: 0x22B
  • Base 3: 202120
  • Base 5: 4210
• Simple decomposition: 555 = 15 × 37 = 5 × 3 × 37
• Quick distribution examples:
  • 555 items into 15 equal groups → 37 per group (no remainder)
  • 555 items into 37 equal groups → 15 per group (no remainder)
  • 555 items into 5 equal groups → 111 per group

If you want, I can turn this into a few practice problems (e.g., compute sum of divisors, convert to another base, or factorization problems). What would you like to focus on?