# 4993

## 4,993 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 4993 look like?

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

4993 is a prime number. Like all primes (except two), it is an odd number.

## Prime factorization of 4993:

### 4993

See below for interesting mathematical facts about the number 4993 from the Numbermatics database.

### Names of 4993

• Cardinal: 4993 can be written as Four thousand, nine hundred ninety-three.

### Scientific notation

• Scientific notation: 4.993 × 103

### Factors of 4993

• Number of distinct prime factors ω(n): 1
• Total number of prime factors Ω(n): 1
• Sum of prime factors: 4993

### Divisors of 4993

• Number of divisors d(n): 2
• Complete list of divisors:
• Sum of all divisors σ(n): 4994
• Sum of proper divisors (its aliquot sum) s(n): 1
• 4993 is a deficient number, because the sum of its proper divisors (1) is less than itself. Its deficiency is 4992

### Bases of 4993

• Binary: 10011100000012
• Base-36: 3UP

### Squares and roots of 4993

• 4993 squared (49932) is 24930049
• 4993 cubed (49933) is 124475734657
• The square root of 4993 is 70.6611633079
• The cube root of 4993 is 17.0917758521

### Scales and comparisons

How big is 4993?
• 4,993 seconds is equal to 1 hour, 23 minutes, 13 seconds.
• To count from 1 to 4,993 would take you about twenty-three 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 4993 cubic inches would be around 1.4 feet tall.

### Recreational maths with 4993

• 4993 backwards is 3994
• The number of decimal digits it has is: 4
• The sum of 4993's digits is 25
• More coming soon!