# 3906

## 3,906 is an even composite number composed of four prime numbers multiplied together.

What does the number 3906 look like?

This visualization shows the relationship between its 4 prime factors (large circles) and 24 divisors.

3906 is an even composite number. It is composed of four distinct prime numbers multiplied together. It has a total of twenty-four divisors.

## Prime factorization of 3906:

### 2 × 32 × 7 × 31

(2 × 3 × 3 × 7 × 31)

See below for interesting mathematical facts about the number 3906 from the Numbermatics database.

### Names of 3906

• Cardinal: 3906 can be written as Three thousand, nine hundred six.

### Scientific notation

• Scientific notation: 3.906 × 103

### Factors of 3906

• Number of distinct prime factors ω(n): 4
• Total number of prime factors Ω(n): 5
• Sum of prime factors: 43

### Divisors of 3906

• Number of divisors d(n): 24
• Complete list of divisors:
• Sum of all divisors σ(n): 9984
• Sum of proper divisors (its aliquot sum) s(n): 6078
• 3906 is an abundant number, because the sum of its proper divisors (6078) is greater than itself. Its abundance is 2172

### Bases of 3906

• Binary: 1111010000102
• Base-36: 30I

### Squares and roots of 3906

• 3906 squared (39062) is 15256836
• 3906 cubed (39063) is 59593201416
• The square root of 3906 is 62.4979999681
• The cube root of 3906 is 15.7486771375

### Scales and comparisons

How big is 3906?
• 3,906 seconds is equal to 1 hour, 5 minutes, 6 seconds.
• To count from 1 to 3,906 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 3906 cubic inches would be around 1.3 feet tall.

### Recreational maths with 3906

• 3906 backwards is 6093
• 3906 is a Harshad number.
• The number of decimal digits it has is: 4
• The sum of 3906's digits is 18
• More coming soon!