# 2002

## 2,002 is an even composite number composed of four prime numbers multiplied together.

What does the number 2002 look like?

This visualization shows the relationship between its 4 prime factors (large circles) and 16 divisors.

2002 is an even composite number. It is composed of four distinct prime numbers multiplied together. It has a total of sixteen divisors.

## Prime factorization of 2002:

### 2 × 7 × 11 × 13

See below for interesting mathematical facts about the number 2002 from the Numbermatics database.

### Names of 2002

• Cardinal: 2002 can be written as Two thousand and two.

### Scientific notation

• Scientific notation: 2.002 × 103

### Factors of 2002

• Number of distinct prime factors ω(n): 4
• Total number of prime factors Ω(n): 4
• Sum of prime factors: 33

### Divisors of 2002

• Number of divisors d(n): 16
• Complete list of divisors:
• Sum of all divisors σ(n): 4032
• Sum of proper divisors (its aliquot sum) s(n): 2030
• 2002 is an abundant number, because the sum of its proper divisors (2030) is greater than itself. Its abundance is 28

### Bases of 2002

• Binary: 111110100102
• Base-36: 1JM

### Squares and roots of 2002

• 2002 squared (20022) is 4008004
• 2002 cubed (20023) is 8024024008
• The square root of 2002 is 44.7437146423
• The cube root of 2002 is 12.6034088367

### Scales and comparisons

How big is 2002?
• 2,002 seconds is equal to 33 minutes, 22 seconds.
• To count from 1 to 2,002 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 2002 cubic inches would be around 1.1 feet tall.

### Recreational maths with 2002

• 2002 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 2002's digits is 4
• More coming soon!

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