# 9963

## 9,963 is an odd composite number composed of two prime numbers multiplied together.

What does the number 9963 look like?

This visualization shows the relationship between its 2 prime factors (large circles) and 12 divisors.

9963 is an odd composite number. It is composed of two distinct prime numbers multiplied together. It has a total of twelve divisors.

## Prime factorization of 9963:

### 35 × 41

(3 × 3 × 3 × 3 × 3 × 41)

See below for interesting mathematical facts about the number 9963 from the Numbermatics database.

### Names of 9963

• Cardinal: 9963 can be written as Nine thousand, nine hundred sixty-three.

### Scientific notation

• Scientific notation: 9.963 × 103

### Factors of 9963

• Number of distinct prime factors ω(n): 2
• Total number of prime factors Ω(n): 6
• Sum of prime factors: 44

### Divisors of 9963

• Number of divisors d(n): 12
• Complete list of divisors:
• Sum of all divisors σ(n): 15288
• Sum of proper divisors (its aliquot sum) s(n): 5325
• 9963 is a deficient number, because the sum of its proper divisors (5325) is less than itself. Its deficiency is 4638

### Bases of 9963

• Binary: 100110111010112
• Base-36: 7OR

### Squares and roots of 9963

• 9963 squared (99632) is 99261369
• 9963 cubed (99633) is 988941019347
• The square root of 9963 is 99.8148285577
• The cube root of 9963 is 21.5177427003

### Scales and comparisons

How big is 9963?
• 9,963 seconds is equal to 2 hours, 46 minutes, 3 seconds.
• To count from 1 to 9,963 would take you about two hours.

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 9963 cubic inches would be around 1.8 feet tall.

### Recreational maths with 9963

• 9963 backwards is 3699
• 9963 is a Harshad number.
• The number of decimal digits it has is: 4
• The sum of 9963's digits is 27
• More coming soon!