1000

1,000 is an even composite number composed of two prime numbers multiplied together.

What does the number 1000 look like?

This visualization shows the relationship between its 2 prime factors (large circles) and 16 divisors.

1000 is an even composite number. It is composed of two distinct prime numbers multiplied together. It has a total of sixteen divisors.

Prime factorization of 1000:

2³ × 5³

(2 × 2 × 2 × 5 × 5 × 5)

See below for interesting mathematical facts about the number 1000 from the Numbermatics database.

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

How big is 1000?

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!

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The information we have on file for 1000 includes mathematical data and numerical statistics calculated using standard algorithms and methods. We are adding more all the time. If there are any features you would like to see, please contact us. Information provided for educational use, intellectual curiosity and fun!

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