# 693

## 693 is an odd composite number composed of three prime numbers multiplied together.

What does the number 693 look like?

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

693 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 693:

### 32 × 7 × 11

(3 × 3 × 7 × 11)

See below for interesting mathematical facts about the number 693 from the Numbermatics database.

### Names of 693

• Cardinal: 693 can be written as Six hundred ninety-three.

### Scientific notation

• Scientific notation: 6.93 × 102

### Factors of 693

• Number of distinct prime factors ω(n): 3
• Total number of prime factors Ω(n): 4
• Sum of prime factors: 21

### Divisors of 693

• Number of divisors d(n): 12
• Complete list of divisors:
• Sum of all divisors σ(n): 1248
• Sum of proper divisors (its aliquot sum) s(n): 555
• 693 is a deficient number, because the sum of its proper divisors (555) is less than itself. Its deficiency is 138

### Bases of 693

• Binary: 10101101012
• Base-36: J9

### Squares and roots of 693

• 693 squared (6932) is 480249
• 693 cubed (6933) is 332812557
• The square root of 693 is 26.3248931621
• The cube root of 693 is 8.8493440095

### Scales and comparisons

How big is 693?
• 693 seconds is equal to 11 minutes, 33 seconds.
• To count from 1 to 693 would take you about five 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 693 cubic inches would be around 0.7 feet tall.

### Recreational maths with 693

• 693 backwards is 396
• The number of decimal digits it has is: 3
• The sum of 693's digits is 18
• More coming soon!