# 3500

## 3,500 is an even composite number composed of three prime numbers multiplied together.

What does the number 3500 look like?

This visualization shows the relationship between its 3 prime factors (large circles) and 24 divisors.

3500 is an even composite number. It is composed of three distinct prime numbers multiplied together. It has a total of twenty-four divisors.

## Prime factorization of 3500:

### 22 × 53 × 7

(2 × 2 × 5 × 5 × 5 × 7)

See below for interesting mathematical facts about the number 3500 from the Numbermatics database.

### Names of 3500

• Cardinal: 3500 can be written as Three thousand, five hundred.

### Scientific notation

• Scientific notation: 3.5 × 103

### Factors of 3500

• Number of distinct prime factors ω(n): 3
• Total number of prime factors Ω(n): 6
• Sum of prime factors: 14

### Divisors of 3500

• Number of divisors d(n): 24
• Complete list of divisors:
• Sum of all divisors σ(n): 8736
• Sum of proper divisors (its aliquot sum) s(n): 5236
• 3500 is an abundant number, because the sum of its proper divisors (5236) is greater than itself. Its abundance is 1736

### Bases of 3500

• Binary: 1101101011002
• Base-36: 2P8

### Squares and roots of 3500

• 3500 squared (35002) is 12250000
• 3500 cubed (35003) is 42875000000
• The square root of 3500 is 59.1607978311
• The cube root of 3500 is 15.1829448593

### Scales and comparisons

How big is 3500?
• 3,500 seconds is equal to 58 minutes, 20 seconds.
• To count from 1 to 3,500 would take you about fifty-eight 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 3500 cubic inches would be around 1.3 feet tall.

### Recreational maths with 3500

• 3500 backwards is 0053
• The number of decimal digits it has is: 4
• The sum of 3500's digits is 8
• More coming soon!