# 1811

## 1,811 is a prime number. Like all primes greater than two, it is odd and has no factors apart from itself and one.

What does the number 1811 look like?

As a prime, it is not composed of any other numbers and has no internal structure.

1811 is a prime number. Like all primes (except two), it is an odd number.

## Prime factorization of 1811:

### 1811

See below for interesting mathematical facts about the number 1811 from the Numbermatics database.

### Names of 1811

• Cardinal: 1811 can be written as One thousand, eight hundred eleven.

### Scientific notation

• Scientific notation: 1.811 × 103

### Factors of 1811

• Number of distinct prime factors ω(n): 1
• Total number of prime factors Ω(n): 1
• Sum of prime factors: 1811

### Divisors of 1811

• Number of divisors d(n): 2
• Complete list of divisors:
• Sum of all divisors σ(n): 1812
• Sum of proper divisors (its aliquot sum) s(n): 1
• 1811 is a deficient number, because the sum of its proper divisors (1) is less than itself. Its deficiency is 1810

### Bases of 1811

• Binary: 111000100112
• Base-36: 1EB

### Squares and roots of 1811

• 1811 squared (18112) is 3279721
• 1811 cubed (18113) is 5939574731
• The square root of 1811 is 42.5558456619
• The cube root of 1811 is 12.1891330269

### Scales and comparisons

How big is 1811?
• 1,811 seconds is equal to 30 minutes, 11 seconds.
• To count from 1 to 1,811 would take you about thirty 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 1811 cubic inches would be around 1 feet tall.

### Recreational maths with 1811

• 1811 backwards is 1181
• The number of decimal digits it has is: 4
• The sum of 1811's digits is 11
• More coming soon!