# 1801

## 1,801 is a prime number. Like all primes greater than two, it is odd and has no factors apart from itself and one.

What does the number 1801 look like?

As a prime, it is not composed of any other numbers and has no internal structure.

1801 is a prime number. Like all primes (except two), it is an odd number.

## Prime factorization of 1801:

### 1801

See below for interesting mathematical facts about the number 1801 from the Numbermatics database.

### Names of 1801

• Cardinal: 1801 can be written as One thousand, eight hundred one.

### Scientific notation

• Scientific notation: 1.801 × 103

### Factors of 1801

• Number of distinct prime factors ω(n): 1
• Total number of prime factors Ω(n): 1
• Sum of prime factors: 1801

### Divisors of 1801

• Number of divisors d(n): 2
• Complete list of divisors:
• Sum of all divisors σ(n): 1802
• Sum of proper divisors (its aliquot sum) s(n): 1
• 1801 is a deficient number, because the sum of its proper divisors (1) is less than itself. Its deficiency is 1800

### Bases of 1801

• Binary: 111000010012
• Base-36: 1E1

### Squares and roots of 1801

• 1801 squared (18012) is 3243601
• 1801 cubed (18013) is 5841725401
• The square root of 1801 is 42.4381903479
• The cube root of 1801 is 12.1666562415

### Scales and comparisons

How big is 1801?
• 1,801 seconds is equal to 30 minutes, 1 second.
• To count from 1 to 1,801 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 1801 cubic inches would be around 1 feet tall.

### Recreational maths with 1801

• 1801 backwards is 1081
• The number of decimal digits it has is: 4
• The sum of 1801's digits is 10
• More coming soon!

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"Number 1801 - Facts about the integer". Numbermatics.com. 2023. Web. 30 March 2023.

APA style:
Numbermatics. (2023). Number 1801 - Facts about the integer. Retrieved 30 March 2023, from https://numbermatics.com/n/1801/

Chicago style:
Numbermatics. 2023. "Number 1801 - Facts about the integer". https://numbermatics.com/n/1801/

The information we have on file for 1801 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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