# 3963

## 3,963 is an odd composite number composed of two prime numbers multiplied together.

What does the number 3963 look like?

This visualization shows the relationship between its 2 prime factors (large circles) and 4 divisors.

3963 is an odd composite number. It is composed of two distinct prime numbers multiplied together. It has a total of four divisors.

## Prime factorization of 3963:

### 3 × 1321

See below for interesting mathematical facts about the number 3963 from the Numbermatics database.

### Names of 3963

• Cardinal: 3963 can be written as Three thousand, nine hundred sixty-three.

### Scientific notation

• Scientific notation: 3.963 × 103

### Factors of 3963

• Number of distinct prime factors ω(n): 2
• Total number of prime factors Ω(n): 2
• Sum of prime factors: 1324

### Divisors of 3963

• Number of divisors d(n): 4
• Complete list of divisors:
• Sum of all divisors σ(n): 5288
• Sum of proper divisors (its aliquot sum) s(n): 1325
• 3963 is a deficient number, because the sum of its proper divisors (1325) is less than itself. Its deficiency is 2638

### Bases of 3963

• Binary: 1111011110112
• Base-36: 323

### Squares and roots of 3963

• 3963 squared (39632) is 15705369
• 3963 cubed (39633) is 62240377347
• The square root of 3963 is 62.9523629421
• The cube root of 3963 is 15.8249139603

### Scales and comparisons

How big is 3963?
• 3,963 seconds is equal to 1 hour, 6 minutes, 3 seconds.
• To count from 1 to 3,963 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 3963 cubic inches would be around 1.3 feet tall.

### Recreational maths with 3963

• 3963 backwards is 3693
• The number of decimal digits it has is: 4
• The sum of 3963's digits is 21
• More coming soon!