# 3393

## 3,393 is an odd composite number composed of three prime numbers multiplied together.

What does the number 3393 look like?

This visualization shows the relationship between its 3 prime factors (large circles) and 12 divisors.

3393 is an odd composite number. It is composed of three distinct prime numbers multiplied together. It has a total of twelve divisors.

## Prime factorization of 3393:

### 32 × 13 × 29

(3 × 3 × 13 × 29)

See below for interesting mathematical facts about the number 3393 from the Numbermatics database.

### Names of 3393

• Cardinal: 3393 can be written as Three thousand, three hundred ninety-three.

### Scientific notation

• Scientific notation: 3.393 × 103

### Factors of 3393

• Number of distinct prime factors ω(n): 3
• Total number of prime factors Ω(n): 4
• Sum of prime factors: 45

### Divisors of 3393

• Number of divisors d(n): 12
• Complete list of divisors:
• Sum of all divisors σ(n): 5460
• Sum of proper divisors (its aliquot sum) s(n): 2067
• 3393 is a deficient number, because the sum of its proper divisors (2067) is less than itself. Its deficiency is 1326

### Bases of 3393

• Binary: 1101010000012
• Base-36: 2M9

### Squares and roots of 3393

• 3393 squared (33932) is 11512449
• 3393 cubed (33933) is 39061739457
• The square root of 3393 is 58.2494635169
• The cube root of 3393 is 15.0266193991

### Scales and comparisons

How big is 3393?
• 3,393 seconds is equal to 56 minutes, 33 seconds.
• To count from 1 to 3,393 would take you about fifty-six 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 3393 cubic inches would be around 1.3 feet tall.

### Recreational maths with 3393

• 3393 backwards is 3933
• The number of decimal digits it has is: 4
• The sum of 3393's digits is 18
• More coming soon!