555

Nice. Do you want something specific with 555 (math problems, facts, or another topic)? Here are quick facts and a few mini-problems you can use for exam prep:

Quick facts

• Decimal: 555
• Prime factorization: 3 × 5 × 37
• Divisors: 1, 3, 5, 15, 37, 111, 185, 555 (8 divisors)
• Digit sum: 5 + 5 + 5 = 15; digital root = 6
• Harshad number? Yes (555 ÷ 15 = 37)
• Palindrome: Yes
• Roman numeral: DLV
• Binary: 1000101011
• Hex: 0x22B
• Base-7 representation: 1422_7

Mini problems (quick practice)

1. List all divisors of 555.
2. Convert 555 to base 7 (done above: 1422_7).
3. Show that 555 is a Harshad number (and compute the quotient).
4. Find the sum of all proper divisors of 555 (excluding itself). If you want, I can turn these into a focused 5-10 minute quiz or tailor problems to a specific topic (number theory, bases, etc.). What would you prefer?