Number 9 - properties and curiosities

9 (number)

9

Number 9 properties

  • Perfect square
  • Palindrome
  • Harshad
  • Armstrong
  • 9 is an odd number.
  • 9 is a palindrome.
  • 9 is a perfect square (3 × 3).
  • 9 is an Armstrong (or Narcissistic) number, which means it is the sum of its own digits each raised to the power of the number of digits.
  • 9 is a Harshad number, which means it is divisible by the sum of its digits (9 = 9, and 9 is divisible by 9).

Prime factorization

Prime factorization of 9: 3^2.

Divisors

Divisor count: 3

1, 3, 9

Factors of 9 are: 1, 3, 9.

Representations

In octal, 9 is represented as 11.

In binary, 9 is represented as 1001.

In hex, 9 is represented as 9.

Roman numeral: IX

Curiosities

  • 9 is a perfect square, so it forms a square grid with equal side lengths.
  • 9 reads the same from left to right and right to left.
  • 9 is divisible by the sum of its digits.

Quick answers

Is 9 prime?
No, 9 is not prime.

What are the factors of 9?
1, 3, 9

What is 9 in binary?
1001