# 2003

## 2,003 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 2003 look like?

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

2003 is a prime number. Like all primes (except two), it is an odd number.

## Prime factorization of 2003:

### 2003

See below for interesting mathematical facts about the number 2003 from the Numbermatics database.

### Names of 2003

• Cardinal: 2003 can be written as Two thousand and three.

### Scientific notation

• Scientific notation: 2.003 × 103

### Factors of 2003

• Number of distinct prime factors ω(n): 1
• Total number of prime factors Ω(n): 1
• Sum of prime factors: 2003

### Divisors of 2003

• Number of divisors d(n): 2
• Complete list of divisors:
• Sum of all divisors σ(n): 2004
• Sum of proper divisors (its aliquot sum) s(n): 1
• 2003 is a deficient number, because the sum of its proper divisors (1) is less than itself. Its deficiency is 2002

### Bases of 2003

• Binary: 111110100112
• Base-36: 1JN

### Squares and roots of 2003

• 2003 squared (20032) is 4012009
• 2003 cubed (20033) is 8036054027
• The square root of 2003 is 44.7548880013
• The cube root of 2003 is 12.6055069573

### Scales and comparisons

How big is 2003?
• 2,003 seconds is equal to 33 minutes, 23 seconds.
• To count from 1 to 2,003 would take you about thirty-three 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 2003 cubic inches would be around 1.1 feet tall.

### Recreational maths with 2003

• 2003 backwards is 3002
• The number of decimal digits it has is: 4
• The sum of 2003's digits is 5
• More coming soon!

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The information we have on file for 2003 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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