# 10044

## 10,044 is an even composite number composed of three prime numbers multiplied together.

What does the number 10044 look like?

This visualization shows the relationship between its 3 prime factors (large circles) and 30 divisors.

10044 is an even composite number. It is composed of three distinct prime numbers multiplied together. It has a total of thirty divisors.

## Prime factorization of 10044:

### 22 × 34 × 31

(2 × 2 × 3 × 3 × 3 × 3 × 31)

See below for interesting mathematical facts about the number 10044 from the Numbermatics database.

### Names of 10044

• Cardinal: 10044 can be written as Ten thousand and forty-four.

### Scientific notation

• Scientific notation: 1.0044 × 104

### Factors of 10044

• Number of distinct prime factors ω(n): 3
• Total number of prime factors Ω(n): 7
• Sum of prime factors: 36

### Divisors of 10044

• Number of divisors d(n): 30
• Complete list of divisors:
• Sum of all divisors σ(n): 27104
• Sum of proper divisors (its aliquot sum) s(n): 17060
• 10044 is an abundant number, because the sum of its proper divisors (17060) is greater than itself. Its abundance is 7016

### Bases of 10044

• Binary: 100111001111002
• Base-36: 7R0

### Squares and roots of 10044

• 10044 squared (100442) is 100881936
• 10044 cubed (100443) is 1013258165184
• The square root of 10044 is 100.2197585309
• The cube root of 10044 is 21.5758990445

### Scales and comparisons

How big is 10044?
• 10,044 seconds is equal to 2 hours, 47 minutes, 24 seconds.
• To count from 1 to 10,044 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 10044 cubic inches would be around 1.8 feet tall.

### Recreational maths with 10044

• 10044 backwards is 44001
• 10044 is a Harshad number.
• The number of decimal digits it has is: 5
• The sum of 10044's digits is 9
• More coming soon!