# 2600

## 2,600 is an even composite number composed of three prime numbers multiplied together.

What does the number 2600 look like?

This visualization shows the relationship between its 3 prime factors (large circles) and 24 divisors.

2600 is an even composite number. It is composed of three distinct prime numbers multiplied together. It has a total of twenty-four divisors.

## Prime factorization of 2600:

### 23 × 52 × 13

(2 × 2 × 2 × 5 × 5 × 13)

See below for interesting mathematical facts about the number 2600 from the Numbermatics database.

### Names of 2600

• Cardinal: 2600 can be written as Two thousand, six hundred.

### Scientific notation

• Scientific notation: 2.6 × 103

### Factors of 2600

• Number of distinct prime factors ω(n): 3
• Total number of prime factors Ω(n): 6
• Sum of prime factors: 20

### Divisors of 2600

• Number of divisors d(n): 24
• Complete list of divisors:
• Sum of all divisors σ(n): 6510
• Sum of proper divisors (its aliquot sum) s(n): 3910
• 2600 is an abundant number, because the sum of its proper divisors (3910) is greater than itself. Its abundance is 1310

### Bases of 2600

• Binary: 1010001010002
• Base-36: 208

### Squares and roots of 2600

• 2600 squared (26002) is 6760000
• 2600 cubed (26003) is 17576000000
• The square root of 2600 is 50.9901951359
• The cube root of 2600 is 13.7506886707

### Scales and comparisons

How big is 2600?
• 2,600 seconds is equal to 43 minutes, 20 seconds.
• To count from 1 to 2,600 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 2600 cubic inches would be around 1.1 feet tall.

### Recreational maths with 2600

• 2600 backwards is 0062
• 2600 is a Harshad number.
• The number of decimal digits it has is: 4
• The sum of 2600's digits is 8
• More coming soon!