# 663

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

What does the number 663 look like?

This visualization shows the relationship between its 3 prime factors (large circles) and 8 divisors.

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

## Prime factorization of 663:

### 3 × 13 × 17

See below for interesting mathematical facts about the number 663 from the Numbermatics database.

### Names of 663

• Cardinal: 663 can be written as Six hundred sixty-three.

### Scientific notation

• Scientific notation: 6.63 × 102

### Factors of 663

• Number of distinct prime factors ω(n): 3
• Total number of prime factors Ω(n): 3
• Sum of prime factors: 33

### Divisors of 663

• Number of divisors d(n): 8
• Complete list of divisors:
• Sum of all divisors σ(n): 1008
• Sum of proper divisors (its aliquot sum) s(n): 345
• 663 is a deficient number, because the sum of its proper divisors (345) is less than itself. Its deficiency is 318

### Bases of 663

• Binary: 10100101112
• Base-36: IF

### Squares and roots of 663

• 663 squared (6632) is 439569
• 663 cubed (6633) is 291434247
• The square root of 663 is 25.7487863791
• The cube root of 663 is 8.7197595535

### Scales and comparisons

How big is 663?
• 663 seconds is equal to 11 minutes, 3 seconds.
• To count from 1 to 663 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 663 cubic inches would be around 0.7 feet tall.

### Recreational maths with 663

• 663 backwards is 366
• The number of decimal digits it has is: 3
• The sum of 663's digits is 15
• More coming soon!