# 1314

## 1,314 is an even composite number composed of three prime numbers multiplied together.

What does the number 1314 look like?

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

1314 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 1314:

### 2 × 32 × 73

(2 × 3 × 3 × 73)

See below for interesting mathematical facts about the number 1314 from the Numbermatics database.

### Names of 1314

• Cardinal: 1314 can be written as One thousand, three hundred fourteen.

### Scientific notation

• Scientific notation: 1.314 × 103

### Factors of 1314

• Number of distinct prime factors ω(n): 3
• Total number of prime factors Ω(n): 4
• Sum of prime factors: 78

### Divisors of 1314

• Number of divisors d(n): 12
• Complete list of divisors:
• Sum of all divisors σ(n): 2886
• Sum of proper divisors (its aliquot sum) s(n): 1572
• 1314 is an abundant number, because the sum of its proper divisors (1572) is greater than itself. Its abundance is 258

### Bases of 1314

• Binary: 101001000102
• Base-36: 10I

### Squares and roots of 1314

• 1314 squared (13142) is 1726596
• 1314 cubed (13143) is 2268747144
• The square root of 1314 is 36.2491379207
• The cube root of 1314 is 10.9529672323

### Scales and comparisons

How big is 1314?
• 1,314 seconds is equal to 21 minutes, 54 seconds.
• To count from 1 to 1,314 would take you about twenty-one 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 1314 cubic inches would be around 0.9 feet tall.

### Recreational maths with 1314

• 1314 backwards is 4131
• 1314 is a Harshad number.
• The number of decimal digits it has is: 4
• The sum of 1314's digits is 9
• More coming soon!