# 1904

## 1,904 is an even composite number composed of three prime numbers multiplied together.

What does the number 1904 look like?

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

1904 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 1904:

### 24 × 7 × 17

(2 × 2 × 2 × 2 × 7 × 17)

See below for interesting mathematical facts about the number 1904 from the Numbermatics database.

### Names of 1904

• Cardinal: 1904 can be written as One thousand, nine hundred four.

### Scientific notation

• Scientific notation: 1.904 × 103

### Factors of 1904

• Number of distinct prime factors ω(n): 3
• Total number of prime factors Ω(n): 6
• Sum of prime factors: 26

### Divisors of 1904

• Number of divisors d(n): 20
• Complete list of divisors:
• Sum of all divisors σ(n): 4464
• Sum of proper divisors (its aliquot sum) s(n): 2560
• 1904 is an abundant number, because the sum of its proper divisors (2560) is greater than itself. Its abundance is 656

### Bases of 1904

• Binary: 111011100002
• Base-36: 1GW

### Squares and roots of 1904

• 1904 squared (19042) is 3625216
• 1904 cubed (19043) is 6902411264
• The square root of 1904 is 43.6348484585
• The cube root of 1904 is 12.3943088695

### Scales and comparisons

How big is 1904?
• 1,904 seconds is equal to 31 minutes, 44 seconds.
• To count from 1 to 1,904 would take you about thirty-one 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 1904 cubic inches would be around 1 feet tall.

### Recreational maths with 1904

• 1904 backwards is 4091
• 1904 is a Harshad number.
• The number of decimal digits it has is: 4
• The sum of 1904's digits is 14
• More coming soon!