# 993

## 993 is an odd composite number composed of two prime numbers multiplied together.

What does the number 993 look like?

This visualization shows the relationship between its 2 prime factors (large circles) and 4 divisors.

993 is an odd composite number. It is composed of two distinct prime numbers multiplied together. It has a total of four divisors.

## Prime factorization of 993:

### 3 × 331

See below for interesting mathematical facts about the number 993 from the Numbermatics database.

### Names of 993

• Cardinal: 993 can be written as Nine hundred ninety-three.

### Scientific notation

• Scientific notation: 9.93 × 102

### Factors of 993

• Number of distinct prime factors ω(n): 2
• Total number of prime factors Ω(n): 2
• Sum of prime factors: 334

### Divisors of 993

• Number of divisors d(n): 4
• Complete list of divisors:
• Sum of all divisors σ(n): 1328
• Sum of proper divisors (its aliquot sum) s(n): 335
• 993 is a deficient number, because the sum of its proper divisors (335) is less than itself. Its deficiency is 658

### Bases of 993

• Binary: 11111000012
• Base-36: RL

### Squares and roots of 993

• 993 squared (9932) is 986049
• 993 cubed (9933) is 979146657
• The square root of 993 is 31.5119025131
• The cube root of 993 is 9.9766120095

### Scales and comparisons

How big is 993?
• 993 seconds is equal to 16 minutes, 33 seconds.
• To count from 1 to 993 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 993 cubic inches would be around 0.8 feet tall.

### Recreational maths with 993

• 993 backwards is 399
• The number of decimal digits it has is: 3
• The sum of 993's digits is 21
• More coming soon!