# 3168

## 3,168 is an even composite number composed of three prime numbers multiplied together.

What does the number 3168 look like?

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

3168 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 3168:

### 25 × 32 × 11

(2 × 2 × 2 × 2 × 2 × 3 × 3 × 11)

See below for interesting mathematical facts about the number 3168 from the Numbermatics database.

### Names of 3168

• Cardinal: 3168 can be written as Three thousand, one hundred sixty-eight.

### Scientific notation

• Scientific notation: 3.168 × 103

### Factors of 3168

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

### Divisors of 3168

• Number of divisors d(n): 36
• Complete list of divisors:
• Sum of all divisors σ(n): 9828
• Sum of proper divisors (its aliquot sum) s(n): 6660
• 3168 is an abundant number, because the sum of its proper divisors (6660) is greater than itself. Its abundance is 3492

### Bases of 3168

• Binary: 1100011000002
• Base-36: 2G0

### Squares and roots of 3168

• 3168 squared (31682) is 10036224
• 3168 cubed (31683) is 31794757632
• The square root of 3168 is 56.2849891179
• The cube root of 3168 is 14.6868409241

### Scales and comparisons

How big is 3168?
• 3,168 seconds is equal to 52 minutes, 48 seconds.
• To count from 1 to 3,168 would take you about fifty-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 3168 cubic inches would be around 1.2 feet tall.

### Recreational maths with 3168

• 3168 backwards is 8613
• 3168 is a Harshad number.
• The number of decimal digits it has is: 4
• The sum of 3168's digits is 18
• More coming soon!