# 2506

## 2,506 is an even composite number composed of three prime numbers multiplied together.

What does the number 2506 look like?

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

2506 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 2506:

### 2 × 7 × 179

See below for interesting mathematical facts about the number 2506 from the Numbermatics database.

### Names of 2506

• Cardinal: 2506 can be written as Two thousand, five hundred six.

### Scientific notation

• Scientific notation: 2.506 × 103

### Factors of 2506

• Number of distinct prime factors ω(n): 3
• Total number of prime factors Ω(n): 3
• Sum of prime factors: 188

### Divisors of 2506

• Number of divisors d(n): 8
• Complete list of divisors:
• Sum of all divisors σ(n): 4320
• Sum of proper divisors (its aliquot sum) s(n): 1814
• 2506 is a deficient number, because the sum of its proper divisors (1814) is less than itself. Its deficiency is 692

### Bases of 2506

• Binary: 1001110010102
• Base-36: 1XM

### Squares and roots of 2506

• 2506 squared (25062) is 6280036
• 2506 cubed (25063) is 15737770216
• The square root of 2506 is 50.0599640431
• The cube root of 2506 is 13.5829370789

### Scales and comparisons

How big is 2506?
• 2,506 seconds is equal to 41 minutes, 46 seconds.
• To count from 1 to 2,506 would take you about forty-one 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 2506 cubic inches would be around 1.1 feet tall.

### Recreational maths with 2506

• 2506 backwards is 6052
• The number of decimal digits it has is: 4
• The sum of 2506's digits is 13
• More coming soon!