# 2632

## 2,632 is an even composite number composed of three prime numbers multiplied together.

What does the number 2632 look like?

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

2632 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 2632:

### 23 × 7 × 47

(2 × 2 × 2 × 7 × 47)

See below for interesting mathematical facts about the number 2632 from the Numbermatics database.

### Names of 2632

• Cardinal: 2632 can be written as Two thousand, six hundred thirty-two.

### Scientific notation

• Scientific notation: 2.632 × 103

### Factors of 2632

• Number of distinct prime factors ω(n): 3
• Total number of prime factors Ω(n): 5
• Sum of prime factors: 56

### Divisors of 2632

• Number of divisors d(n): 16
• Complete list of divisors:
• Sum of all divisors σ(n): 5760
• Sum of proper divisors (its aliquot sum) s(n): 3128
• 2632 is an abundant number, because the sum of its proper divisors (3128) is greater than itself. Its abundance is 496

### Bases of 2632

• Binary: 1010010010002
• Base-36: 214

### Squares and roots of 2632

• 2632 squared (26322) is 6927424
• 2632 cubed (26323) is 18232979968
• The square root of 2632 is 51.3030213535
• The cube root of 2632 is 13.8068718837

### Scales and comparisons

How big is 2632?
• 2,632 seconds is equal to 43 minutes, 52 seconds.
• To count from 1 to 2,632 would take you about forty-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 2632 cubic inches would be around 1.2 feet tall.

### Recreational maths with 2632

• 2632 backwards is 2362
• The number of decimal digits it has is: 4
• The sum of 2632's digits is 13
• More coming soon!