# 814

## 814 is an even composite number composed of three prime numbers multiplied together.

What does the number 814 look like?

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

814 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 814:

### 2 × 11 × 37

See below for interesting mathematical facts about the number 814 from the Numbermatics database.

### Names of 814

• Cardinal: 814 can be written as Eight hundred fourteen.

### Scientific notation

• Scientific notation: 8.14 × 102

### Factors of 814

• Number of distinct prime factors ω(n): 3
• Total number of prime factors Ω(n): 3
• Sum of prime factors: 50

### Divisors of 814

• Number of divisors d(n): 8
• Complete list of divisors:
• Sum of all divisors σ(n): 1368
• Sum of proper divisors (its aliquot sum) s(n): 554
• 814 is a deficient number, because the sum of its proper divisors (554) is less than itself. Its deficiency is 260

### Bases of 814

• Binary: 11001011102
• Base-36: MM

### Squares and roots of 814

• 814 squared (8142) is 662596
• 814 cubed (8143) is 539353144
• The square root of 814 is 28.5306852353
• The cube root of 814 is 9.3370166869

### Scales and comparisons

How big is 814?
• 814 seconds is equal to 13 minutes, 34 seconds.
• To count from 1 to 814 would take you about 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 814 cubic inches would be around 0.8 feet tall.

### Recreational maths with 814

• 814 backwards is 418
• The number of decimal digits it has is: 3
• The sum of 814's digits is 13
• More coming soon!