# 11004

## 11,004 is an even composite number composed of four prime numbers multiplied together.

What does the number 11004 look like?

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

11004 is an even composite number. It is composed of four distinct prime numbers multiplied together. It has a total of twenty-four divisors.

## Prime factorization of 11004:

### 22 × 3 × 7 × 131

(2 × 2 × 3 × 7 × 131)

See below for interesting mathematical facts about the number 11004 from the Numbermatics database.

### Names of 11004

• Cardinal: 11004 can be written as Eleven thousand and four.

### Scientific notation

• Scientific notation: 1.1004 × 104

### Factors of 11004

• Number of distinct prime factors ω(n): 4
• Total number of prime factors Ω(n): 5
• Sum of prime factors: 143

### Divisors of 11004

• Number of divisors d(n): 24
• Complete list of divisors:
• Sum of all divisors σ(n): 29568
• Sum of proper divisors (its aliquot sum) s(n): 18564
• 11004 is an abundant number, because the sum of its proper divisors (18564) is greater than itself. Its abundance is 7560

### Bases of 11004

• Binary: 101010111111002
• Base-36: 8HO

### Squares and roots of 11004

• 11004 squared (110042) is 121088016
• 11004 cubed (110043) is 1332452528064
• The square root of 11004 is 104.8999523355
• The cube root of 11004 is 22.2424963125

### Scales and comparisons

How big is 11004?
• 11,004 seconds is equal to 3 hours, 3 minutes, 24 seconds.
• To count from 1 to 11,004 would take you about three 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 11004 cubic inches would be around 1.9 feet tall.

### Recreational maths with 11004

• 11004 backwards is 40011
• 11004 is a Harshad number.
• The number of decimal digits it has is: 5
• The sum of 11004's digits is 6
• More coming soon!