The Natural Number 999

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Properties of the Number 999

• Because 999 is not divisible by 2 ...
• 999 is an odd number
• 999 has parity 1
• 999 is not an even number

• Because 999 can be factored as 3 x 333 ...
• 999 is a composite number
• 999 is not a prime number

Alternative Representations of the Number 999

• Base 2 (binary): 1111100111
• Base 8 (octal): 1747
• Base 16 (hexadecimal): 3E7

• Roman numeral: CMXCIX

• Words: nine hundred ninety-nine

Divisors of the Number 999

• 999 has 8 positive divisors: 1, 3, 9, 27, 37, 111, 333, 999
• The sum of the positive divisors is 1520
• 999 has 7 proper divisors: 1, 3, 9, 27, 37, 111, 333
• The sum of the proper divisors is 521

• 999 is a deficient number since the sum of the proper divisors is less than 999
• 999 is not a perfect number
• 999 is not an abundant number

More Properties of the Number 999

• 999 is not a square number
• 999 is not a cube number

• 999 is a palindromic number (i.e., the digits are the same forwards and backwards)

• 999 is not a Fibonacci number
• 999 is not a Lucas number