Number 3 - properties and curiosities

3 (number)

3

Number 3 properties

  • Prime
  • Fibonacci
  • Palindrome
  • Harshad
  • Armstrong
  • Mersenne
  • Triangular
  • 3 is an odd number.
  • 3 is a palindrome.
  • 3 is a prime number, which means it is only divisible by 1 and itself.
  • 3 is a Sophie Germain prime, which means that 2 x 3 + 1 = 7 is also a prime number.
  • 3 is triangular and equals T2.
  • 3 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.
  • 3 is Fibonacci number #4.
  • 3 is a Harshad number, which means it is divisible by the sum of its digits (3 = 3, and 3 is divisible by 3).

Prime factorization

Prime factorization of 3: 3.

Divisors

Divisor count: 2

1, 3

Factors of 3 are: 1, 3.

Representations

In octal, 3 is represented as 3.

In binary, 3 is represented as 11.

In hex, 3 is represented as 3.

Roman numeral: III

Curiosities

  • 3 is part of the infinite sequence of prime numbers.
  • 3 appears in the Fibonacci sequence, where each number is the sum of the previous two.
  • 3 reads the same from left to right and right to left.

Quick answers

Is 3 prime?
Yes, 3 is prime.

What are the factors of 3?
1, 3

What is 3 in binary?
11