# 1009

## 1,009 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 1009 look like?

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

1009 is a prime number. Like all primes (except two), it is an odd number.

## Prime factorization of 1009:

### 1009

See below for interesting mathematical facts about the number 1009 from the Numbermatics database.

### Names of 1009

• Cardinal: 1009 can be written as One thousand and nine.

### Scientific notation

• Scientific notation: 1.009 × 103

### Factors of 1009

• Number of distinct prime factors ω(n): 1
• Total number of prime factors Ω(n): 1
• Sum of prime factors: 1009

### Divisors of 1009

• Number of divisors d(n): 2
• Complete list of divisors:
• Sum of all divisors σ(n): 1010
• Sum of proper divisors (its aliquot sum) s(n): 1
• 1009 is a deficient number, because the sum of its proper divisors (1) is less than itself. Its deficiency is 1008

### Bases of 1009

• Binary: 11111100012
• Base-36: S1

### Squares and roots of 1009

• 1009 squared (10092) is 1018081
• 1009 cubed (10093) is 1027243729
• The square root of 1009 is 31.7647603485
• The cube root of 1009 is 10.0299104473

### Scales and comparisons

How big is 1009?
• 1,009 seconds is equal to 16 minutes, 49 seconds.
• To count from 1 to 1,009 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 1009 cubic inches would be around 0.8 feet tall.

### Recreational maths with 1009

• 1009 backwards is 9001
• The number of decimal digits it has is: 4
• The sum of 1009's digits is 10
• More coming soon!

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The information we have on file for 1009 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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