# 2009

## 2,009 is an odd composite number composed of two prime numbers multiplied together.

What does the number 2009 look like?

This visualization shows the relationship between its 2 prime factors (large circles) and 6 divisors.

2009 is an odd composite number. It is composed of two distinct prime numbers multiplied together. It has a total of six divisors.

## Prime factorization of 2009:

### 72 × 41

(7 × 7 × 41)

See below for interesting mathematical facts about the number 2009 from the Numbermatics database.

### Names of 2009

• Cardinal: 2009 can be written as Two thousand and nine.

### Scientific notation

• Scientific notation: 2.009 × 103

### Factors of 2009

• Number of distinct prime factors ω(n): 2
• Total number of prime factors Ω(n): 3
• Sum of prime factors: 48

### Divisors of 2009

• Number of divisors d(n): 6
• Complete list of divisors:
• Sum of all divisors σ(n): 2394
• Sum of proper divisors (its aliquot sum) s(n): 385
• 2009 is a deficient number, because the sum of its proper divisors (385) is less than itself. Its deficiency is 1624

### Bases of 2009

• Binary: 111110110012
• Base-36: 1JT

### Squares and roots of 2009

• 2009 squared (20092) is 4036081
• 2009 cubed (20093) is 8108486729
• The square root of 2009 is 44.8218696619
• The cube root of 2009 is 12.6180810373

### Scales and comparisons

How big is 2009?
• 2,009 seconds is equal to 33 minutes, 29 seconds.
• To count from 1 to 2,009 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 2009 cubic inches would be around 1.1 feet tall.

### Recreational maths with 2009

• 2009 backwards is 9002
• The number of decimal digits it has is: 4
• The sum of 2009's digits is 11
• More coming soon!