# 1801

## 1,801 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 1801 look like?

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

1801 is a prime number. Like all primes (except two), it is an odd number.

## Prime factorization of 1801:

### 1801

See below for interesting mathematical facts about the number 1801 from the Numbermatics database.

### Names of 1801

• Cardinal: 1801 can be written as One thousand, eight hundred one.

### Scientific notation

• Scientific notation: 1.801 × 103

### Factors of 1801

• Number of distinct prime factors ω(n): 1
• Total number of prime factors Ω(n): 1
• Sum of prime factors: 1801

### Divisors of 1801

• Number of divisors d(n): 2
• Complete list of divisors:
• Sum of all divisors σ(n): 1802
• Sum of proper divisors (its aliquot sum) s(n): 1
• 1801 is a deficient number, because the sum of its proper divisors (1) is less than itself. Its deficiency is 1800

### Bases of 1801

• Binary: 111000010012
• Base-36: 1E1

### Squares and roots of 1801

• 1801 squared (18012) is 3243601
• 1801 cubed (18013) is 5841725401
• The square root of 1801 is 42.4381903479
• The cube root of 1801 is 12.1666562415

### Scales and comparisons

How big is 1801?
• 1,801 seconds is equal to 30 minutes, 1 second.
• To count from 1 to 1,801 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 1801 cubic inches would be around 1 feet tall.

### Recreational maths with 1801

• 1801 backwards is 1081
• The number of decimal digits it has is: 4
• The sum of 1801's digits is 10
• More coming soon!