# 4664

## 4,664 is an even composite number composed of three prime numbers multiplied together.

What does the number 4664 look like?

This visualization shows the relationship between its 3 prime factors (large circles) and 16 divisors.

4664 is an even composite number. It is composed of three distinct prime numbers multiplied together. It has a total of sixteen divisors.

## Prime factorization of 4664:

### 23 × 11 × 53

(2 × 2 × 2 × 11 × 53)

See below for interesting mathematical facts about the number 4664 from the Numbermatics database.

### Names of 4664

• Cardinal: 4664 can be written as Four thousand, six hundred sixty-four.

### Scientific notation

• Scientific notation: 4.664 × 103

### Factors of 4664

• Number of distinct prime factors ω(n): 3
• Total number of prime factors Ω(n): 5
• Sum of prime factors: 66

### Divisors of 4664

• Number of divisors d(n): 16
• Complete list of divisors:
• Sum of all divisors σ(n): 9720
• Sum of proper divisors (its aliquot sum) s(n): 5056
• 4664 is an abundant number, because the sum of its proper divisors (5056) is greater than itself. Its abundance is 392

### Bases of 4664

• Binary: 10010001110002
• Base-36: 3LK

### Squares and roots of 4664

• 4664 squared (46642) is 21752896
• 4664 cubed (46643) is 101455506944
• The square root of 4664 is 68.2934843159
• The cube root of 4664 is 16.7078094637

### Scales and comparisons

How big is 4664?
• 4,664 seconds is equal to 1 hour, 17 minutes, 44 seconds.
• To count from 1 to 4,664 would take you about seventeen 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 4664 cubic inches would be around 1.4 feet tall.

### Recreational maths with 4664

• 4664 is the same when its digits are reversed! That makes it a palindromic number.
• The number of decimal digits it has is: 4
• The sum of 4664's digits is 20
• More coming soon!