# 2015

## 2,015 is an odd composite number composed of three prime numbers multiplied together.

What does the number 2015 look like?

This visualization shows the relationship between its 3 prime factors (large circles) and 8 divisors.

2015 is an odd composite number. It is composed of three distinct prime numbers multiplied together. It has a total of eight divisors.

## Prime factorization of 2015:

### 5 × 13 × 31

See below for interesting mathematical facts about the number 2015 from the Numbermatics database.

### Names of 2015

• Cardinal: 2015 can be written as Two thousand and fifteen.

### Scientific notation

• Scientific notation: 2.015 × 103

### Factors of 2015

• Number of distinct prime factors ω(n): 3
• Total number of prime factors Ω(n): 3
• Sum of prime factors: 49

### Divisors of 2015

• Number of divisors d(n): 8
• Complete list of divisors:
• Sum of all divisors σ(n): 2688
• Sum of proper divisors (its aliquot sum) s(n): 673
• 2015 is a deficient number, because the sum of its proper divisors (673) is less than itself. Its deficiency is 1342

### Bases of 2015

• Binary: 111110111112
• Base-36: 1JZ

### Squares and roots of 2015

• 2015 squared (20152) is 4060225
• 2015 cubed (20153) is 8181353375
• The square root of 2015 is 44.8887513749
• The cube root of 2015 is 12.6306301067

### Scales and comparisons

How big is 2015?
• 2,015 seconds is equal to 33 minutes, 35 seconds.
• To count from 1 to 2,015 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 2015 cubic inches would be around 1.1 feet tall.

### Recreational maths with 2015

• 2015 backwards is 5102
• The number of decimal digits it has is: 4
• The sum of 2015's digits is 8
• More coming soon!