# 2016

## 2,016 is an even composite number composed of three prime numbers multiplied together.

What does the number 2016 look like?

This visualization shows the relationship between its 3 prime factors (large circles) and 36 divisors.

2016 is an even composite number. It is composed of three distinct prime numbers multiplied together. It has a total of thirty-six divisors.

## Prime factorization of 2016:

### 25 × 32 × 7

(2 × 2 × 2 × 2 × 2 × 3 × 3 × 7)

See below for interesting mathematical facts about the number 2016 from the Numbermatics database.

### Names of 2016

• Cardinal: 2016 can be written as Two thousand and sixteen.

### Scientific notation

• Scientific notation: 2.016 × 103

### Factors of 2016

• Number of distinct prime factors ω(n): 3
• Total number of prime factors Ω(n): 8
• Sum of prime factors: 12

### Divisors of 2016

• Number of divisors d(n): 36
• Complete list of divisors:
• Sum of all divisors σ(n): 6552
• Sum of proper divisors (its aliquot sum) s(n): 4536
• 2016 is an abundant number, because the sum of its proper divisors (4536) is greater than itself. Its abundance is 2520

### Bases of 2016

• Binary: 111111000002
• Base-36: 1K0

### Squares and roots of 2016

• 2016 squared (20162) is 4064256
• 2016 cubed (20163) is 8193540096
• The square root of 2016 is 44.8998886413
• The cube root of 2016 is 12.6327191953

### Scales and comparisons

How big is 2016?
• 2,016 seconds is equal to 33 minutes, 36 seconds.
• To count from 1 to 2,016 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 2016 cubic inches would be around 1.1 feet tall.

### Recreational maths with 2016

• 2016 backwards is 6102
• 2016 is a Harshad number.
• The number of decimal digits it has is: 4
• The sum of 2016's digits is 9
• More coming soon!