# 1001

## 1,001 is an odd composite number composed of three prime numbers multiplied together.

What does the number 1001 look like?

This visualization shows the relationship between its 3 prime factors (large circles) and 8 divisors.

1001 is an odd composite number. It is composed of three distinct prime numbers multiplied together. It has a total of eight divisors.

## Prime factorization of 1001:

### 7 × 11 × 13

See below for interesting mathematical facts about the number 1001 from the Numbermatics database.

### Names of 1001

• Cardinal: 1001 can be written as One thousand and one.

### Scientific notation

• Scientific notation: 1.001 × 103

### Factors of 1001

• Number of distinct prime factors ω(n): 3
• Total number of prime factors Ω(n): 3
• Sum of prime factors: 31

### Divisors of 1001

• Number of divisors d(n): 8
• Complete list of divisors:
• Sum of all divisors σ(n): 1344
• Sum of proper divisors (its aliquot sum) s(n): 343
• 1001 is a deficient number, because the sum of its proper divisors (343) is less than itself. Its deficiency is 658

### Bases of 1001

• Binary: 11111010012
• Base-36: RT

### Squares and roots of 1001

• 1001 squared (10012) is 1002001
• 1001 cubed (10013) is 1003003001
• The square root of 1001 is 31.6385840391
• The cube root of 1001 is 10.0033322229

### Scales and comparisons

How big is 1001?
• 1,001 seconds is equal to 16 minutes, 41 seconds.
• To count from 1 to 1,001 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 1001 cubic inches would be around 0.8 feet tall.

### Recreational maths with 1001

• 1001 is the same when its digits are reversed! That makes it a palindromic number.
• The number of decimal digits it has is: 4
• The sum of 1001's digits is 2
• More coming soon!

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The information we have on file for 1001 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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