# 7963

## 7,963 is a prime number. Like all primes greater than two, it is odd and has no factors apart from itself and one.

What does the number 7963 look like?

As a prime, it is not composed of any other numbers and has no internal structure.

7963 is a prime number. Like all primes (except two), it is an odd number.

## Prime factorization of 7963:

### 7963

See below for interesting mathematical facts about the number 7963 from the Numbermatics database.

### Names of 7963

• Cardinal: 7963 can be written as Seven thousand, nine hundred sixty-three.

### Scientific notation

• Scientific notation: 7.963 × 103

### Factors of 7963

• Number of distinct prime factors ω(n): 1
• Total number of prime factors Ω(n): 1
• Sum of prime factors: 7963

### Divisors of 7963

• Number of divisors d(n): 2
• Complete list of divisors:
• Sum of all divisors σ(n): 7964
• Sum of proper divisors (its aliquot sum) s(n): 1
• 7963 is a deficient number, because the sum of its proper divisors (1) is less than itself. Its deficiency is 7962

### Bases of 7963

• Binary: 11111000110112
• Base-36: 657

### Squares and roots of 7963

• 7963 squared (79632) is 63409369
• 7963 cubed (79633) is 504928805347
• The square root of 7963 is 89.2356431029
• The cube root of 7963 is 19.9691190095

### Scales and comparisons

How big is 7963?
• 7,963 seconds is equal to 2 hours, 12 minutes, 43 seconds.
• To count from 1 to 7,963 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 7963 cubic inches would be around 1.7 feet tall.

### Recreational maths with 7963

• 7963 backwards is 3697
• The number of decimal digits it has is: 4
• The sum of 7963's digits is 25
• More coming soon!