# 2801

## 2,801 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 2801 look like?

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

2801 is a prime number. Like all primes (except two), it is an odd number.

## Prime factorization of 2801:

### 2801

See below for interesting mathematical facts about the number 2801 from the Numbermatics database.

### Names of 2801

• Cardinal: 2801 can be written as Two thousand, eight hundred one.

### Scientific notation

• Scientific notation: 2.801 × 103

### Factors of 2801

• Number of distinct prime factors ω(n): 1
• Total number of prime factors Ω(n): 1
• Sum of prime factors: 2801

### Divisors of 2801

• Number of divisors d(n): 2
• Complete list of divisors:
• Sum of all divisors σ(n): 2802
• Sum of proper divisors (its aliquot sum) s(n): 1
• 2801 is a deficient number, because the sum of its proper divisors (1) is less than itself. Its deficiency is 2800

### Bases of 2801

• Binary: 1010111100012
• Base-36: 25T

### Squares and roots of 2801

• 2801 squared (28012) is 7845601
• 2801 cubed (28013) is 21975528401
• The square root of 2801 is 52.9244744895
• The cube root of 2801 is 14.0962751927

### Scales and comparisons

How big is 2801?
• 2,801 seconds is equal to 46 minutes, 41 seconds.
• To count from 1 to 2,801 would take you about forty-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 2801 cubic inches would be around 1.2 feet tall.

### Recreational maths with 2801

• 2801 backwards is 1082
• 2801 is a twin prime! Its twin is 2803
• The number of decimal digits it has is: 4
• The sum of 2801's digits is 11
• More coming soon!