# 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!