# 9009

## 9,009 is an odd composite number composed of four prime numbers multiplied together.

What does the number 9009 look like?

This visualization shows the relationship between its 4 prime factors (large circles) and 24 divisors.

9009 is an odd composite number. It is composed of four distinct prime numbers multiplied together. It has a total of twenty-four divisors.

## Prime factorization of 9009:

### 32 × 7 × 11 × 13

(3 × 3 × 7 × 11 × 13)

See below for interesting mathematical facts about the number 9009 from the Numbermatics database.

### Names of 9009

• Cardinal: 9009 can be written as Nine thousand and nine.

### Scientific notation

• Scientific notation: 9.009 × 103

### Factors of 9009

• Number of distinct prime factors ω(n): 4
• Total number of prime factors Ω(n): 5
• Sum of prime factors: 34

### Divisors of 9009

• Number of divisors d(n): 24
• Complete list of divisors:
• Sum of all divisors σ(n): 17472
• Sum of proper divisors (its aliquot sum) s(n): 8463
• 9009 is a deficient number, because the sum of its proper divisors (8463) is less than itself. Its deficiency is 546

### Bases of 9009

• Binary: 100011001100012
• Base-36: 6Y9

### Squares and roots of 9009

• 9009 squared (90092) is 81162081
• 9009 cubed (90093) is 731189187729
• The square root of 9009 is 94.9157521173
• The cube root of 9009 is 20.8077695333

### Scales and comparisons

How big is 9009?
• 9,009 seconds is equal to 2 hours, 30 minutes, 9 seconds.
• To count from 1 to 9,009 would take you about two hours.

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 9009 cubic inches would be around 1.7 feet tall.

### Recreational maths with 9009

• 9009 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 9009's digits is 18
• More coming soon!