# 3975

## 3,975 is an odd composite number composed of three prime numbers multiplied together.

What does the number 3975 look like?

This visualization shows the relationship between its 3 prime factors (large circles) and 12 divisors.

3975 is an odd composite number. It is composed of three distinct prime numbers multiplied together. It has a total of twelve divisors.

## Prime factorization of 3975:

### 3 × 52 × 53

(3 × 5 × 5 × 53)

See below for interesting mathematical facts about the number 3975 from the Numbermatics database.

### Names of 3975

• Cardinal: 3975 can be written as Three thousand, nine hundred seventy-five.

### Scientific notation

• Scientific notation: 3.975 × 103

### Factors of 3975

• Number of distinct prime factors ω(n): 3
• Total number of prime factors Ω(n): 4
• Sum of prime factors: 61

### Divisors of 3975

• Number of divisors d(n): 12
• Complete list of divisors:
• Sum of all divisors σ(n): 6696
• Sum of proper divisors (its aliquot sum) s(n): 2721
• 3975 is a deficient number, because the sum of its proper divisors (2721) is less than itself. Its deficiency is 1254

### Bases of 3975

• Binary: 1111100001112
• Base-36: 32F

### Squares and roots of 3975

• 3975 squared (39752) is 15800625
• 3975 cubed (39753) is 62807484375
• The square root of 3975 is 63.0476010645
• The cube root of 3975 is 15.8408705265

### Scales and comparisons

How big is 3975?
• 3,975 seconds is equal to 6 minutes, 15 seconds.
• To count from 1 to 3,975 would take you about six 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 3975 cubic inches would be around 1.3 feet tall.

### Recreational maths with 3975

• 3975 backwards is 5793
• The number of decimal digits it has is: 4
• The sum of 3975's digits is 24
• More coming soon!