The Natural Number 1000

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Properties of the Number 1000

• Because 1000 is divisible by 2 ...
• 1000 is an even number
• 1000 has parity 0
• 1000 is not an odd number

• Because 1000 can be factored as 2 x 500 ...
• 1000 is a composite number
• 1000 is not a prime number

Alternative Representations of the Number 1000

• Base 2 (binary): 1111101000
• Base 8 (octal): 1750
• Base 16 (hexadecimal): 3E8

• Roman numeral: M

• Words: one thousand

Divisors of the Number 1000

• 1000 has 16 positive divisors: 1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 125, 200, 250, 500, 1000
• The sum of the positive divisors is 2340
• 1000 has 15 proper divisors: 1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 125, 200, 250, 500
• The sum of the proper divisors is 1340

• 1000 is not a deficient number
• 1000 is not a perfect number
• 1000 is an abundant number since the sum of the proper divisors is greater than 1000

More Properties of the Number 1000

• 1000 is not a square number
• 1000 is a cube number (i.e., cube of the natural number 10)

• 1000 is not a palindromic number

• 1000 is not a Fibonacci number
• 1000 is not a Lucas number