# 4095

## 4,095 is an odd composite number composed of four prime numbers multiplied together.

What does the number 4095 look like?

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

4095 is an odd composite number. It is composed of four distinct prime numbers multiplied together. It has a total of twenty-four divisors.

## Prime factorization of 4095:

### 32 × 5 × 7 × 13

(3 × 3 × 5 × 7 × 13)

See below for interesting mathematical facts about the number 4095 from the Numbermatics database.

### Names of 4095

• Cardinal: 4095 can be written as Four thousand and ninety-five.

### Scientific notation

• Scientific notation: 4.095 × 103

### Factors of 4095

• Number of distinct prime factors ω(n): 4
• Total number of prime factors Ω(n): 5
• Sum of prime factors: 28

### Divisors of 4095

• 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): 4641
• 4095 is an abundant number, because the sum of its proper divisors (4641) is greater than itself. Its abundance is 546

### Bases of 4095

• Binary: 1111111111112
• Base-36: 35R

### Squares and roots of 4095

• 4095 squared (40952) is 16769025
• 4095 cubed (40953) is 68669157375
• The square root of 4095 is 63.9921870231
• The cube root of 4095 is 15.9986978107

### Scales and comparisons

How big is 4095?
• 4,095 seconds is equal to 1 hour, 8 minutes, 15 seconds.
• To count from 1 to 4,095 would take you about 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 4095 cubic inches would be around 1.3 feet tall.

### Recreational maths with 4095

• 4095 backwards is 5904
• The number of decimal digits it has is: 4
• The sum of 4095's digits is 18
• More coming soon!