# 5166

## 5,166 is an even composite number composed of four prime numbers multiplied together.

What does the number 5166 look like?

This visualization shows the relationship between its 4 prime factors (large circles) and 24 divisors.

5166 is an even composite number. It is composed of four distinct prime numbers multiplied together. It has a total of twenty-four divisors.

## Prime factorization of 5166:

### 2 × 32 × 7 × 41

(2 × 3 × 3 × 7 × 41)

See below for interesting mathematical facts about the number 5166 from the Numbermatics database.

### Names of 5166

• Cardinal: 5166 can be written as Five thousand, one hundred sixty-six.

### Scientific notation

• Scientific notation: 5.166 × 103

### Factors of 5166

• Number of distinct prime factors ω(n): 4
• Total number of prime factors Ω(n): 5
• Sum of prime factors: 53

### Divisors of 5166

• Number of divisors d(n): 24
• Complete list of divisors:
• Sum of all divisors σ(n): 13104
• Sum of proper divisors (its aliquot sum) s(n): 7938
• 5166 is an abundant number, because the sum of its proper divisors (7938) is greater than itself. Its abundance is 2772

### Bases of 5166

• Binary: 10100001011102
• Base-36: 3ZI

### Squares and roots of 5166

• 5166 squared (51662) is 26687556
• 5166 cubed (51663) is 137867914296
• The square root of 5166 is 71.8748913043
• The cube root of 5166 is 17.2869403705

### Scales and comparisons

How big is 5166?
• 5,166 seconds is equal to 1 hour, 26 minutes, 6 seconds.
• To count from 1 to 5,166 would take you about twenty-six 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 5166 cubic inches would be around 1.4 feet tall.

### Recreational maths with 5166

• 5166 backwards is 6615
• 5166 is a Harshad number.
• The number of decimal digits it has is: 4
• The sum of 5166's digits is 18
• More coming soon!