# 1104

## 1,104 is an even composite number composed of three prime numbers multiplied together.

What does the number 1104 look like?

This visualization shows the relationship between its 3 prime factors (large circles) and 20 divisors.

1104 is an even composite number. It is composed of three distinct prime numbers multiplied together. It has a total of twenty divisors.

## Prime factorization of 1104:

### 24 × 3 × 23

(2 × 2 × 2 × 2 × 3 × 23)

See below for interesting mathematical facts about the number 1104 from the Numbermatics database.

### Names of 1104

• Cardinal: 1104 can be written as One thousand, one hundred four.

### Scientific notation

• Scientific notation: 1.104 × 103

### Factors of 1104

• Number of distinct prime factors ω(n): 3
• Total number of prime factors Ω(n): 6
• Sum of prime factors: 28

### Divisors of 1104

• Number of divisors d(n): 20
• Complete list of divisors:
• Sum of all divisors σ(n): 2976
• Sum of proper divisors (its aliquot sum) s(n): 1872
• 1104 is an abundant number, because the sum of its proper divisors (1872) is greater than itself. Its abundance is 768

### Bases of 1104

• Binary: 100010100002
• Base-36: UO

### Squares and roots of 1104

• 1104 squared (11042) is 1218816
• 1104 cubed (11043) is 1345572864
• The square root of 1104 is 33.2264954517
• The cube root of 1104 is 10.3352985049

### Scales and comparisons

How big is 1104?
• 1,104 seconds is equal to 18 minutes, 24 seconds.
• To count from 1 to 1,104 would take you about eighteen 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 1104 cubic inches would be around 0.9 feet tall.

### Recreational maths with 1104

• 1104 backwards is 4011
• 1104 is a Harshad number.
• The number of decimal digits it has is: 4
• The sum of 1104's digits is 6
• More coming soon!