# 8214

## 8,214 is an even composite number composed of three prime numbers multiplied together.

What does the number 8214 look like?

This visualization shows the relationship between its 3 prime factors (large circles) and 12 divisors.

8214 is an even composite number. It is composed of three distinct prime numbers multiplied together. It has a total of twelve divisors.

## Prime factorization of 8214:

### 2 × 3 × 372

(2 × 3 × 37 × 37)

See below for interesting mathematical facts about the number 8214 from the Numbermatics database.

### Names of 8214

• Cardinal: 8214 can be written as Eight thousand, two hundred fourteen.

### Scientific notation

• Scientific notation: 8.214 × 103

### Factors of 8214

• Number of distinct prime factors ω(n): 3
• Total number of prime factors Ω(n): 4
• Sum of prime factors: 42

### Divisors of 8214

• Number of divisors d(n): 12
• Complete list of divisors:
• Sum of all divisors σ(n): 16884
• Sum of proper divisors (its aliquot sum) s(n): 8670
• 8214 is an abundant number, because the sum of its proper divisors (8670) is greater than itself. Its abundance is 456

### Bases of 8214

• Binary: 100000000101102
• Base-36: 6C6

### Squares and roots of 8214

• 8214 squared (82142) is 67469796
• 8214 cubed (82143) is 554196904344
• The square root of 8214 is 90.6311204831
• The cube root of 8214 is 20.1767664123

### Scales and comparisons

How big is 8214?
• 8,214 seconds is equal to 2 hours, 16 minutes, 54 seconds.
• To count from 1 to 8,214 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 8214 cubic inches would be around 1.7 feet tall.

### Recreational maths with 8214

• 8214 backwards is 4128
• The number of decimal digits it has is: 4
• The sum of 8214's digits is 15
• More coming soon!