# 2044

## 2,044 is an even composite number composed of three prime numbers multiplied together.

What does the number 2044 look like?

This visualization shows the relationship between its 3 prime factors (large circles) and 12 divisors.

2044 is an even composite number. It is composed of three distinct prime numbers multiplied together. It has a total of twelve divisors.

## Prime factorization of 2044:

### 22 × 7 × 73

(2 × 2 × 7 × 73)

See below for interesting mathematical facts about the number 2044 from the Numbermatics database.

### Names of 2044

• Cardinal: 2044 can be written as Two thousand and forty-four.

### Scientific notation

• Scientific notation: 2.044 × 103

### Factors of 2044

• Number of distinct prime factors ω(n): 3
• Total number of prime factors Ω(n): 4
• Sum of prime factors: 82

### Divisors of 2044

• Number of divisors d(n): 12
• Complete list of divisors:
• Sum of all divisors σ(n): 4144
• Sum of proper divisors (its aliquot sum) s(n): 2100
• 2044 is an abundant number, because the sum of its proper divisors (2100) is greater than itself. Its abundance is 56

### Bases of 2044

• Binary: 111111111002
• Base-36: 1KS

### Squares and roots of 2044

• 2044 squared (20442) is 4177936
• 2044 cubed (20443) is 8539701184
• The square root of 2044 is 45.2106182219
• The cube root of 2044 is 12.6909353135

### Scales and comparisons

How big is 2044?
• 2,044 seconds is equal to 34 minutes, 4 seconds.
• To count from 1 to 2,044 would take you about thirty-four 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 2044 cubic inches would be around 1.1 feet tall.

### Recreational maths with 2044

• 2044 backwards is 4402
• The number of decimal digits it has is: 4
• The sum of 2044's digits is 10
• More coming soon!