# 2331

## 2,331 is an odd composite number composed of three prime numbers multiplied together.

What does the number 2331 look like?

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

2331 is an odd composite number. It is composed of three distinct prime numbers multiplied together. It has a total of twelve divisors.

## Prime factorization of 2331:

### 32 × 7 × 37

(3 × 3 × 7 × 37)

See below for interesting mathematical facts about the number 2331 from the Numbermatics database.

### Names of 2331

• Cardinal: 2331 can be written as Two thousand, three hundred thirty-one.

### Scientific notation

• Scientific notation: 2.331 × 103

### Factors of 2331

• Number of distinct prime factors ω(n): 3
• Total number of prime factors Ω(n): 4
• Sum of prime factors: 47

### Divisors of 2331

• Number of divisors d(n): 12
• Complete list of divisors:
• Sum of all divisors σ(n): 3952
• Sum of proper divisors (its aliquot sum) s(n): 1621
• 2331 is a deficient number, because the sum of its proper divisors (1621) is less than itself. Its deficiency is 710

### Bases of 2331

• Binary: 1001000110112
• Base-36: 1SR

### Squares and roots of 2331

• 2331 squared (23312) is 5433561
• 2331 cubed (23313) is 12665630691
• The square root of 2331 is 48.2804308183
• The cube root of 2331 is 13.2591013771

### Scales and comparisons

How big is 2331?
• 2,331 seconds is equal to 38 minutes, 51 seconds.
• To count from 1 to 2,331 would take you about thirty-eight 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 2331 cubic inches would be around 1.1 feet tall.

### Recreational maths with 2331

• 2331 backwards is 1332
• 2331 is a Harshad number.
• The number of decimal digits it has is: 4
• The sum of 2331's digits is 9
• More coming soon!