# 8009

## 8,009 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 8009 look like?

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

8009 is a prime number. Like all primes (except two), it is an odd number.

## Prime factorization of 8009:

### 8009

See below for interesting mathematical facts about the number 8009 from the Numbermatics database.

### Names of 8009

• Cardinal: 8009 can be written as Eight thousand and nine.

### Scientific notation

• Scientific notation: 8.009 × 103

### Factors of 8009

• Number of distinct prime factors ω(n): 1
• Total number of prime factors Ω(n): 1
• Sum of prime factors: 8009

### Divisors of 8009

• Number of divisors d(n): 2
• Complete list of divisors:
• Sum of all divisors σ(n): 8010
• Sum of proper divisors (its aliquot sum) s(n): 1
• 8009 is a deficient number, because the sum of its proper divisors (1) is less than itself. Its deficiency is 8008

### Bases of 8009

• Binary: 11111010010012
• Base-36: 66H

### Squares and roots of 8009

• 8009 squared (80092) is 64144081
• 8009 cubed (80093) is 513729944729
• The square root of 8009 is 89.4930164873
• The cube root of 8009 is 20.0074971891

### Scales and comparisons

How big is 8009?
• 8,009 seconds is equal to 2 hours, 13 minutes, 29 seconds.
• To count from 1 to 8,009 would take you about two hours.

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 8009 cubic inches would be around 1.7 feet tall.

### Recreational maths with 8009

• 8009 backwards is 9008
• 8009 is a twin prime! Its twin is 8011
• The number of decimal digits it has is: 4
• The sum of 8009's digits is 17
• More coming soon!

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"Number 8009 - Facts about the integer". Numbermatics.com. 2022. Web. 25 May 2022.

APA style:
Numbermatics. (2022). Number 8009 - Facts about the integer. Retrieved 25 May 2022, from https://numbermatics.com/n/8009/

Chicago style:
Numbermatics. 2022. "Number 8009 - Facts about the integer". https://numbermatics.com/n/8009/

The information we have on file for 8009 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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