# 1800

## 1,800 is an even composite number composed of three prime numbers multiplied together.

What does the number 1800 look like?

This visualization shows the relationship between its 3 prime factors (large circles) and 36 divisors.

1800 is an even composite number. It is composed of three distinct prime numbers multiplied together. It has a total of thirty-six divisors.

## Prime factorization of 1800:

### 23 × 32 × 52

(2 × 2 × 2 × 3 × 3 × 5 × 5)

See below for interesting mathematical facts about the number 1800 from the Numbermatics database.

### Names of 1800

• Cardinal: 1800 can be written as One thousand, eight hundred.

### Scientific notation

• Scientific notation: 1.8 × 103

### Factors of 1800

• Number of distinct prime factors ω(n): 3
• Total number of prime factors Ω(n): 7
• Sum of prime factors: 10

### Divisors of 1800

• Number of divisors d(n): 36
• Complete list of divisors:
• Sum of all divisors σ(n): 6045
• Sum of proper divisors (its aliquot sum) s(n): 4245
• 1800 is an abundant number, because the sum of its proper divisors (4245) is greater than itself. Its abundance is 2445

### Bases of 1800

• Binary: 111000010002
• Base-36: 1E0

### Squares and roots of 1800

• 1800 squared (18002) is 3240000
• 1800 cubed (18003) is 5832000000
• The square root of 1800 is 42.4264068711
• The cube root of 1800 is 12.1644039911

### Scales and comparisons

How big is 1800?
• 1,800 seconds is equal to 30 minutes.
• To count from 1 to 1,800 would take you about thirty 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 1800 cubic inches would be around 1 feet tall.

### Recreational maths with 1800

• 1800 backwards is 0081
• 1800 is a Harshad number.
• The number of decimal digits it has is: 4
• The sum of 1800's digits is 9
• More coming soon!

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"Number 1800 - Facts about the integer". Numbermatics.com. 2022. Web. 9 August 2022.

APA style:
Numbermatics. (2022). Number 1800 - Facts about the integer. Retrieved 9 August 2022, from https://numbermatics.com/n/1800/

Chicago style:
Numbermatics. 2022. "Number 1800 - Facts about the integer". https://numbermatics.com/n/1800/

The information we have on file for 1800 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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