555

Not sure what you need with just "555". Do you want properties of the number, or help with a related exam problem? Here are quick facts and a few tiny practice items you can use.

Quick facts about 555

• Decimal: 555
• Prime factorization: 3 × 5 × 37
• Divisors: 1, 3, 5, 15, 37, 111, 185, 555
• Sum of digits: 5+5+5 = 15 → divisible by 3 and 5, so 555 is divisible by 15 (555 = 15 × 37)
• Binary: 1000101011
• Hexadecimal: 0x22B
• Roman numeral: DLV

Two short practice problems (with solutions)

1. Solve 555x ≡ 1 (mod 7)

   • 555 ≡ 2 (mod 7), so 2x ≡ 1 (mod 7)
   • The inverse of 2 mod 7 is 4, so x ≡ 4 (mod 7)

2. Express 555 in base 7

   • 555 = 1×343 + 4×49 + 2×7 + 2
   • So 555 = 1422 in base 7 (1422_7)

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