# 4688

## 4,688 is an even composite number composed of two prime numbers multiplied together.

What does the number 4688 look like?

This visualization shows the relationship between its 2 prime factors (large circles) and 10 divisors.

4688 is an even composite number. It is composed of two distinct prime numbers multiplied together. It has a total of ten divisors.

## Prime factorization of 4688:

### 24 × 293

(2 × 2 × 2 × 2 × 293)

See below for interesting mathematical facts about the number 4688 from the Numbermatics database.

### Names of 4688

• Cardinal: 4688 can be written as Four thousand, six hundred eighty-eight.

### Scientific notation

• Scientific notation: 4.688 × 103

### Factors of 4688

• Number of distinct prime factors ω(n): 2
• Total number of prime factors Ω(n): 5
• Sum of prime factors: 295

### Divisors of 4688

• Number of divisors d(n): 10
• Complete list of divisors:
• Sum of all divisors σ(n): 9114
• Sum of proper divisors (its aliquot sum) s(n): 4426
• 4688 is a deficient number, because the sum of its proper divisors (4426) is less than itself. Its deficiency is 262

### Bases of 4688

• Binary: 10010010100002
• Base-36: 3M8

### Squares and roots of 4688

• 4688 squared (46882) is 21977344
• 4688 cubed (46883) is 103029788672
• The square root of 4688 is 68.4689710745
• The cube root of 4688 is 16.7364187825

### Scales and comparisons

How big is 4688?
• 4,688 seconds is equal to 1 hour, 18 minutes, 8 seconds.
• To count from 1 to 4,688 would take you about eighteen 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 4688 cubic inches would be around 1.4 feet tall.

### Recreational maths with 4688

• 4688 backwards is 8864
• The number of decimal digits it has is: 4
• The sum of 4688's digits is 26
• More coming soon!