555

Not sure what you want with 555. Here are quick math facts that can help for exams, plus a couple of ready-made problems you can use.

Quick facts about 555

• Prime factorization: 555 = 3 × 5 × 37
• Number of divisors: 8 (the divisors are 1, 3, 5, 15, 37, 111, 185, 555)
• Sum of divisors: 912
• Sum of proper divisors (excluding 555): 357
• Product of digits: 5 × 5 × 5 = 125
• Digital sum: 5 + 5 + 5 = 15
• Roman numeral: DLV
• Binary: 1000101011 (555 in base 2)
• Base-3 representation: 202120_3

Two quick exam-style tasks

1. Prove the divisor count and compute the sum of divisors of 555.
   • Answer: divisors = {1, 3, 5, 15, 37, 111, 185, 555}; sum = 912; number of divisors = 8.
2. Convert 555 to another base.
   • Base 2: 1000101011
   • Base 3: 202120_3

If you want, tell me the exact type of problem you’re practicing (mod arithmetic, base conversions, divisor sums, etc.), and I’ll tailor a few problems or a mini-quiz around 555.