1000

Names of 1000

• Cardinal: 1000 can be written as One thousand.

Scientific notation

• Scientific notation: 1 × 10³

Factors of 1000

• Number of distinct prime factors ω(n): 2
• Total number of prime factors Ω(n): 6
• Sum of prime factors: 7

Divisors of 1000

• Number of divisors d(n): 16
• Complete list of divisors:
  1 2 4 5 8 10 20 25 40 50 100 125 200 250 500 1000
• Sum of all divisors σ(n): 2340
• Sum of proper divisors (its aliquot sum) s(n): 1340
• 1000 is an abundant number, because the sum of its proper divisors (1340) is greater than itself. Its abundance is 340

Bases of 1000

• Binary: 1111101000₂
• Hexadecimal: 0x3E8
• Base-36: RS

Squares and roots of 1000

• 1000 squared (1000²) is 1000000
• 1000 cubed (1000³) is 1000000000
• The square root of 1000 is 31.6227766017
• 1000 is a perfect cube number. Its cube root is 10

Scales and comparisons

• 1,000 seconds is equal to 16 minutes, 40 seconds.
• To count from 1 to 1,000 would take you about sixteen minutes.

  This is a very rough estimate, based on a speaking rate of half a second every third order of magnitude. If you speak quickly, you could probably say any randomly-chosen number between one and a thousand in around half a second. Very big numbers obviously take longer to say, so we add half a second for every extra x1000. (We do not count involuntary pauses, bathroom breaks or the necessity of sleep in our calculation!)

• A cube with a volume of 1000 cubic inches would be around 0.8 feet tall.

Recreational maths with 1000

• 1000 backwards is 0001
• 1000 is a Harshad number.
• The number of decimal digits it has is: 4
• The sum of 1000's digits is 1
• More coming soon!