# 10404

## 10,404 is an even composite number composed of three prime numbers multiplied together.

What does the number 10404 look like?

This visualization shows the relationship between its 3 prime factors (large circles) and 27 divisors.

10404 is an even composite number. It is composed of three distinct prime numbers multiplied together. It has a total of twenty-seven divisors.

## Prime factorization of 10404:

### 22 × 32 × 172

(2 × 2 × 3 × 3 × 17 × 17)

See below for interesting mathematical facts about the number 10404 from the Numbermatics database.

### Names of 10404

• Cardinal: 10404 can be written as Ten thousand, four hundred four.

### Scientific notation

• Scientific notation: 1.0404 × 104

### Factors of 10404

• Number of distinct prime factors ω(n): 3
• Total number of prime factors Ω(n): 6
• Sum of prime factors: 22

### Divisors of 10404

• Number of divisors d(n): 27
• Complete list of divisors:
• Sum of all divisors σ(n): 27937
• Sum of proper divisors (its aliquot sum) s(n): 17533
• 10404 is an abundant number, because the sum of its proper divisors (17533) is greater than itself. Its abundance is 7129

### Bases of 10404

• Binary: 101000101001002
• Hexadecimal: 0x28A4
• Base-36: 810

### Squares and roots of 10404

• 10404 squared (104042) is 108243216
• 10404 cubed (104043) is 1126162419264
• 10404 is a perfect square number. Its square root is 102
• The cube root of 10404 is 21.8306557457

### Scales and comparisons

How big is 10404?
• 10,404 seconds is equal to 2 hours, 53 minutes, 24 seconds.
• To count from 1 to 10,404 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 10404 cubic inches would be around 1.8 feet tall.

### Recreational maths with 10404

• 10404 backwards is 40401
• 10404 is a Harshad number.
• The number of decimal digits it has is: 5
• The sum of 10404's digits is 9
• More coming soon!

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The information we have on file for 10404 includes mathematical data and numerical statistics calculated using standard algorithms and methods. We are adding more all the time. If there are any features you would like to see, please contact us. Information provided for educational use, intellectual curiosity and fun!

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