# 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:
• 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
• 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!