The Natural Number 3

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Properties of the Number 3

• Because 3 is not divisible by 2 ...
• 3 is an odd number
• 3 has parity 1
• 3 is not an even number

• Because 3 has only 1 and itself as divisors ...
• 3 is a prime number
• 3 is not a composite number

Alternative Representations of the Number 3

• Base 2 (binary): 11
• Base 8 (octal): 3
• Base 16 (hexadecimal): 3

• Roman numeral: III

• Words: three

Divisors of the Number 3

• 3 has 2 positive divisors: 1, 3
• The sum of the positive divisors is 4
• 3 has 1 proper divisor: 1
• The sum of the proper divisors is 1

• 3 is a deficient number since the sum of the proper divisors is less than 3
• 3 is not a perfect number
• 3 is not an abundant number

More Properties of the Number 3

• 3 is not a square number
• 3 is not a cube number

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

• 3 is a Fibonacci number
• 3 is a Lucas number