# 506

## 506 is an even composite number composed of three prime numbers multiplied together.

What does the number 506 look like?

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

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

## Prime factorization of 506:

### 2 × 11 × 23

See below for interesting mathematical facts about the number 506 from the Numbermatics database.

### Names of 506

• Cardinal: 506 can be written as Five hundred six.

### Scientific notation

• Scientific notation: 5.06 × 102

### Factors of 506

• Number of distinct prime factors ω(n): 3
• Total number of prime factors Ω(n): 3
• Sum of prime factors: 36

### Divisors of 506

• Number of divisors d(n): 8
• Complete list of divisors:
• Sum of all divisors σ(n): 864
• Sum of proper divisors (its aliquot sum) s(n): 358
• 506 is a deficient number, because the sum of its proper divisors (358) is less than itself. Its deficiency is 148

### Bases of 506

• Binary: 1111110102
• Base-36: E2

### Squares and roots of 506

• 506 squared (5062) is 256036
• 506 cubed (5063) is 129554216
• The square root of 506 is 22.4944437585
• The cube root of 506 is 7.9686271287

### Scales and comparisons

How big is 506?
• 506 seconds is equal to 8 minutes, 26 seconds.
• To count from 1 to 506 would take you about four 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 506 cubic inches would be around 0.7 feet tall.

### Recreational maths with 506

• 506 backwards is 605
• 506 is a Harshad number.
• The number of decimal digits it has is: 3
• The sum of 506's digits is 11
• More coming soon!