# 1993

## 1,993 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 1993 look like?

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

1993 is a prime number. Like all primes (except two), it is an odd number.

## Prime factorization of 1993:

### 1993

See below for interesting mathematical facts about the number 1993 from the Numbermatics database.

### Names of 1993

• Cardinal: 1993 can be written as One thousand, nine hundred ninety-three.

### Scientific notation

• Scientific notation: 1.993 × 103

### Factors of 1993

• Number of distinct prime factors ω(n): 1
• Total number of prime factors Ω(n): 1
• Sum of prime factors: 1993

### Divisors of 1993

• Number of divisors d(n): 2
• Complete list of divisors:
• Sum of all divisors σ(n): 1994
• Sum of proper divisors (its aliquot sum) s(n): 1
• 1993 is a deficient number, because the sum of its proper divisors (1) is less than itself. Its deficiency is 1992

### Bases of 1993

• Binary: 111110010012
• Base-36: 1JD

### Squares and roots of 1993

• 1993 squared (19932) is 3972049
• 1993 cubed (19933) is 7916293657
• The square root of 1993 is 44.6430285711
• The cube root of 1993 is 12.5844942377

### Scales and comparisons

How big is 1993?
• 1,993 seconds is equal to 33 minutes, 13 seconds.
• To count from 1 to 1,993 would take you about thirty-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 1993 cubic inches would be around 1 feet tall.

### Recreational maths with 1993

• 1993 backwards is 3991
• The number of decimal digits it has is: 4
• The sum of 1993's digits is 22
• More coming soon!