555

Do you want to do something specific with the number 555? Here are some quick math details you can use for exam prep, plus a few practice questions.

Key facts about 555

• Prime factorization: 555 = 3 × 5 × 37 (square-free)
• Divisors: 1, 3, 5, 15, 37, 111, 185, 555 (8 divisors)
• Sum of divisors: σ(555) = (1+3)(1+5)(1+37) = 4 × 6 × 38 = 912
• Euler’s totient: φ(555) = 555 × (1 − 1/3) × (1 − 1/5) × (1 − 1/37) = 288
• Classification: sum of proper divisors = 912 − 555 = 357 < 555, so 555 is a deficient number
• Base representations:
  • Binary: 555 = 1000101011₂
  • Base 7: 1422₇
  • Base 6: 2323₆
• Roman numeral: DLV (500 + 50 + 5)

Quick practice questions (with answers)

1. What is the prime factorization of 555?

   • Answer: 3 × 5 × 37

2. List all positive divisors of 555.

   • Answer: 1, 3, 5, 15, 37, 111, 185, 555

3. Compute φ(555).

   • Answer: 288

4. Is 555 a perfect, deficient, or abundant number?

   • Answer: Deficient (sum of proper divisors is 357 < 555)

5. Convert 555 to base 7.

   • Answer: 1422₇

If you tell me your course or the exact type of task you want (factorization, number theory properties, base conversions, exam-style problems, etc.), I can tailor more targeted problems or explanations.