# 1311

## 1,311 is an odd composite number composed of three prime numbers multiplied together.

What does the number 1311 look like?

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

1311 is an odd composite number. It is composed of three distinct prime numbers multiplied together. It has a total of eight divisors.

## Prime factorization of 1311:

### 3 × 19 × 23

See below for interesting mathematical facts about the number 1311 from the Numbermatics database.

### Names of 1311

• Cardinal: 1311 can be written as One thousand, three hundred eleven.

### Scientific notation

• Scientific notation: 1.311 × 103

### Factors of 1311

• Number of distinct prime factors ω(n): 3
• Total number of prime factors Ω(n): 3
• Sum of prime factors: 45

### Divisors of 1311

• Number of divisors d(n): 8
• Complete list of divisors:
• Sum of all divisors σ(n): 1920
• Sum of proper divisors (its aliquot sum) s(n): 609
• 1311 is a deficient number, because the sum of its proper divisors (609) is less than itself. Its deficiency is 702

### Bases of 1311

• Binary: 101000111112
• Base-36: 10F

### Squares and roots of 1311

• 1311 squared (13112) is 1718721
• 1311 cubed (13113) is 2253243231
• The square root of 1311 is 36.2077339805
• The cube root of 1311 is 10.9446252891

### Scales and comparisons

How big is 1311?
• 1,311 seconds is equal to 21 minutes, 51 seconds.
• To count from 1 to 1,311 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 1311 cubic inches would be around 0.9 feet tall.

### Recreational maths with 1311

• 1311 backwards is 1131
• The number of decimal digits it has is: 4
• The sum of 1311's digits is 6
• More coming soon!