# 2562

## 2,562 is an even composite number composed of four prime numbers multiplied together.

What does the number 2562 look like?

This visualization shows the relationship between its 4 prime factors (large circles) and 16 divisors.

2562 is an even composite number. It is composed of four distinct prime numbers multiplied together. It has a total of sixteen divisors.

## Prime factorization of 2562:

### 2 × 3 × 7 × 61

See below for interesting mathematical facts about the number 2562 from the Numbermatics database.

### Names of 2562

• Cardinal: 2562 can be written as Two thousand, five hundred sixty-two.

### Scientific notation

• Scientific notation: 2.562 × 103

### Factors of 2562

• Number of distinct prime factors ω(n): 4
• Total number of prime factors Ω(n): 4
• Sum of prime factors: 73

### Divisors of 2562

• Number of divisors d(n): 16
• Complete list of divisors:
• Sum of all divisors σ(n): 5952
• Sum of proper divisors (its aliquot sum) s(n): 3390
• 2562 is an abundant number, because the sum of its proper divisors (3390) is greater than itself. Its abundance is 828

### Bases of 2562

• Binary: 1010000000102
• Base-36: 1Z6

### Squares and roots of 2562

• 2562 squared (25622) is 6563844
• 2562 cubed (25623) is 16816568328
• The square root of 2562 is 50.6162029393
• The cube root of 2562 is 13.6833690959

### Scales and comparisons

How big is 2562?
• 2,562 seconds is equal to 42 minutes, 42 seconds.
• To count from 1 to 2,562 would take you about forty-two 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 2562 cubic inches would be around 1.1 feet tall.

### Recreational maths with 2562

• 2562 backwards is 2652
• The number of decimal digits it has is: 4
• The sum of 2562's digits is 15
• More coming soon!