# 2112

## 2,112 is an even composite number composed of three prime numbers multiplied together.

What does the number 2112 look like?

This visualization shows the relationship between its 3 prime factors (large circles) and 28 divisors.

2112 is an even composite number. It is composed of three distinct prime numbers multiplied together. It has a total of twenty-eight divisors.

## Prime factorization of 2112:

### 26 × 3 × 11

(2 × 2 × 2 × 2 × 2 × 2 × 3 × 11)

See below for interesting mathematical facts about the number 2112 from the Numbermatics database.

### Names of 2112

• Cardinal: 2112 can be written as Two thousand, one hundred twelve.

### Scientific notation

• Scientific notation: 2.112 × 103

### Factors of 2112

• Number of distinct prime factors ω(n): 3
• Total number of prime factors Ω(n): 8
• Sum of prime factors: 16

### Divisors of 2112

• Number of divisors d(n): 28
• Complete list of divisors:
• Sum of all divisors σ(n): 6096
• Sum of proper divisors (its aliquot sum) s(n): 3984
• 2112 is an abundant number, because the sum of its proper divisors (3984) is greater than itself. Its abundance is 1872

### Bases of 2112

• Binary: 1000010000002
• Base-36: 1MO

### Squares and roots of 2112

• 2112 squared (21122) is 4460544
• 2112 cubed (21123) is 9420668928
• The square root of 2112 is 45.9565011723
• The cube root of 2112 is 12.8301373201

### Scales and comparisons

How big is 2112?
• 2,112 seconds is equal to 35 minutes, 12 seconds.
• To count from 1 to 2,112 would take you about thirty-five 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 2112 cubic inches would be around 1.1 feet tall.

### Recreational maths with 2112

• 2112 is the same when its digits are reversed! That makes it a palindromic number.
• 2112 is a Harshad number.
• The number of decimal digits it has is: 4
• The sum of 2112's digits is 6
• More coming soon!