# 16811

## 16,811 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 16811 look like?

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

16811 is a prime number. Like all primes (except two), it is an odd number.

## Prime factorization of 16811:

### 16811

See below for interesting mathematical facts about the number 16811 from the Numbermatics database.

### Names of 16811

• Cardinal: 16811 can be written as Sixteen thousand, eight hundred eleven.

### Scientific notation

• Scientific notation: 1.6811 × 104

### Factors of 16811

• Number of distinct prime factors ω(n): 1
• Total number of prime factors Ω(n): 1
• Sum of prime factors: 16811

### Divisors of 16811

• Number of divisors d(n): 2
• Complete list of divisors:
• Sum of all divisors σ(n): 16812
• Sum of proper divisors (its aliquot sum) s(n): 1
• 16811 is a deficient number, because the sum of its proper divisors (1) is less than itself. Its deficiency is 16810

### Bases of 16811

• Binary: 1000001101010112
• Base-36: CYZ

### Squares and roots of 16811

• 16811 squared (168112) is 282609721
• 16811 cubed (168113) is 4750952019731
• The square root of 16811 is 129.6572404457
• The cube root of 16811 is 25.6171719099

### Scales and comparisons

How big is 16811?
• 16,811 seconds is equal to 4 hours, 40 minutes, 11 seconds.
• To count from 1 to 16,811 would take you about four 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 16811 cubic inches would be around 2.1 feet tall.

### Recreational maths with 16811

• 16811 backwards is 11861
• The number of decimal digits it has is: 5
• The sum of 16811's digits is 17
• More coming soon!