# 2024

## 2,024 is an even composite number composed of three prime numbers multiplied together.

What does the number 2024 look like?

This visualization shows the relationship between its 3 prime factors (large circles) and 16 divisors.

2024 is an even composite number. It is composed of three distinct prime numbers multiplied together. It has a total of sixteen divisors.

## Prime factorization of 2024:

### 23 × 11 × 23

(2 × 2 × 2 × 11 × 23)

See below for interesting mathematical facts about the number 2024 from the Numbermatics database.

### Names of 2024

• Cardinal: 2024 can be written as Two thousand and twenty-four.

### Scientific notation

• Scientific notation: 2.024 × 103

### Factors of 2024

• Number of distinct prime factors ω(n): 3
• Total number of prime factors Ω(n): 5
• Sum of prime factors: 36

### Divisors of 2024

• Number of divisors d(n): 16
• Complete list of divisors:
• Sum of all divisors σ(n): 4320
• Sum of proper divisors (its aliquot sum) s(n): 2296
• 2024 is an abundant number, because the sum of its proper divisors (2296) is greater than itself. Its abundance is 272

### Bases of 2024

• Binary: 111111010002
• Base-36: 1K8

### Squares and roots of 2024

• 2024 squared (20242) is 4096576
• 2024 cubed (20243) is 8291469824
• The square root of 2024 is 44.9888875169
• The cube root of 2024 is 12.6494070869

### Scales and comparisons

How big is 2024?
• 2,024 seconds is equal to 33 minutes, 44 seconds.
• To count from 1 to 2,024 would take you about thirty-three 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 2024 cubic inches would be around 1.1 feet tall.

### Recreational maths with 2024

• 2024 backwards is 4202
• 2024 is a Harshad number.
• The number of decimal digits it has is: 4
• The sum of 2024's digits is 8
• More coming soon!