# 8642

## 8,642 is an even composite number composed of three prime numbers multiplied together.

What does the number 8642 look like?

This visualization shows the relationship between its 3 prime factors (large circles) and 8 divisors.

8642 is an even composite number. It is composed of three distinct prime numbers multiplied together. It has a total of eight divisors.

## Prime factorization of 8642:

### 2 × 29 × 149

See below for interesting mathematical facts about the number 8642 from the Numbermatics database.

### Names of 8642

• Cardinal: 8642 can be written as Eight thousand, six hundred forty-two.

### Scientific notation

• Scientific notation: 8.642 × 103

### Factors of 8642

• Number of distinct prime factors ω(n): 3
• Total number of prime factors Ω(n): 3
• Sum of prime factors: 180

### Divisors of 8642

• Number of divisors d(n): 8
• Complete list of divisors:
• Sum of all divisors σ(n): 13500
• Sum of proper divisors (its aliquot sum) s(n): 4858
• 8642 is a deficient number, because the sum of its proper divisors (4858) is less than itself. Its deficiency is 3784

### Bases of 8642

• Binary: 100001110000102
• Base-36: 6O2

### Squares and roots of 8642

• 8642 squared (86422) is 74684164
• 8642 cubed (86423) is 645420545288
• The square root of 8642 is 92.9623579735
• The cube root of 8642 is 20.5212945493

### Scales and comparisons

How big is 8642?
• 8,642 seconds is equal to 2 hours, 24 minutes, 2 seconds.
• To count from 1 to 8,642 would take you about two 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 8642 cubic inches would be around 1.7 feet tall.

### Recreational maths with 8642

• 8642 backwards is 2468
• The number of decimal digits it has is: 4
• The sum of 8642's digits is 20
• More coming soon!