The Natural Number 9

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Properties of the Number 9

  • Because 9 is not divisible by 2 ...
    • 9 is an odd number
    • 9 has parity 1
    • 9 is not an even number
  • Because 9 can be factored as 3 x 3 ...
    • 9 is a composite number
    • 9 is not a prime number

Alternative Representations of the Number 9

  • Base 2 (binary): 1001
  • Base 8 (octal): 11
  • Base 16 (hexadecimal): 9
  • Roman numeral: IX
  • Words: nine

Divisors of the Number 9

  • 9 has 3 positive divisors: 1, 3, 9
    • The sum of the positive divisors is 13
  • 9 has 2 proper divisors: 1, 3
    • The sum of the proper divisors is 4
  • 9 is a deficient number since the sum of the proper divisors is less than 9
  • 9 is not a perfect number
  • 9 is not an abundant number

More Properties of the Number 9

  • 9 is a square number (i.e., square of the natural number 3)
  • 9 is not a cube number
  • 9 is a palindromic number (i.e., the digits are the same forwards and backwards)
  • 9 is not a Fibonacci number
  • 9 is not a Lucas number

4:26 am, Friday, April 28, 2017 (UTC; +0000)
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