# 31968

## 31,968 is an even composite number composed of three prime numbers multiplied together.

What does the number 31968 look like?

This visualization shows the relationship between its 3 prime factors (large circles) and 48 divisors.

31968 is an even composite number. It is composed of three distinct prime numbers multiplied together. It has a total of forty-eight divisors.

## Prime factorization of 31968:

### 25 × 33 × 37

(2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 37)

See below for interesting mathematical facts about the number 31968 from the Numbermatics database.

### Names of 31968

• Cardinal: 31968 can be written as Thirty-one thousand, nine hundred sixty-eight.

### Scientific notation

• Scientific notation: 3.1968 × 104

### Factors of 31968

• Number of distinct prime factors ω(n): 3
• Total number of prime factors Ω(n): 9
• Sum of prime factors: 42

### Divisors of 31968

• Number of divisors d(n): 48
• Complete list of divisors:
• Sum of all divisors σ(n): 95760
• Sum of proper divisors (its aliquot sum) s(n): 63792
• 31968 is an abundant number, because the sum of its proper divisors (63792) is greater than itself. Its abundance is 31824

### Bases of 31968

• Binary: 1111100111000002
• Base-36: OO0

### Squares and roots of 31968

• 31968 squared (319682) is 1021953024
• 31968 cubed (319683) is 32669794271232
• The square root of 31968 is 178.7959731089
• The cube root of 31968 is 31.7374348361

### Scales and comparisons

How big is 31968?
• 31,968 seconds is equal to 8 hours, 52 minutes, 48 seconds.
• To count from 1 to 31,968 would take you about eight hours.

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 31968 cubic inches would be around 2.6 feet tall.

### Recreational maths with 31968

• 31968 backwards is 86913
• 31968 is a Harshad number.
• The number of decimal digits it has is: 5
• The sum of 31968's digits is 27
• More coming soon!