# 4093

## 4,093 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 4093 look like?

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

4093 is a prime number. Like all primes (except two), it is an odd number.

## Prime factorization of 4093:

### 4093

See below for interesting mathematical facts about the number 4093 from the Numbermatics database.

### Names of 4093

• Cardinal: 4093 can be written as Four thousand and ninety-three.

### Scientific notation

• Scientific notation: 4.093 × 103

### Factors of 4093

• Number of distinct prime factors ω(n): 1
• Total number of prime factors Ω(n): 1
• Sum of prime factors: 4093

### Divisors of 4093

• Number of divisors d(n): 2
• Complete list of divisors:
• Sum of all divisors σ(n): 4094
• Sum of proper divisors (its aliquot sum) s(n): 1
• 4093 is a deficient number, because the sum of its proper divisors (1) is less than itself. Its deficiency is 4092

### Bases of 4093

• Binary: 1111111111012
• Base-36: 35P

### Squares and roots of 4093

• 4093 squared (40932) is 16752649
• 4093 cubed (40933) is 68568592357
• The square root of 4093 is 63.9765582069
• The cube root of 4093 is 15.9960927961

### Scales and comparisons

How big is 4093?
• 4,093 seconds is equal to 1 hour, 8 minutes, 13 seconds.
• To count from 1 to 4,093 would take you about eight 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 4093 cubic inches would be around 1.3 feet tall.

### Recreational maths with 4093

• 4093 backwards is 3904
• The number of decimal digits it has is: 4
• The sum of 4093's digits is 16
• More coming soon!