# 19963

## 19,963 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 19963 look like?

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

19963 is a prime number. Like all primes (except two), it is an odd number.

## Prime factorization of 19963:

### 19963

See below for interesting mathematical facts about the number 19963 from the Numbermatics database.

### Names of 19963

• Cardinal: 19963 can be written as Nineteen thousand, nine hundred sixty-three.

### Scientific notation

• Scientific notation: 1.9963 × 104

### Factors of 19963

• Number of distinct prime factors ω(n): 1
• Total number of prime factors Ω(n): 1
• Sum of prime factors: 19963

### Divisors of 19963

• Number of divisors d(n): 2
• Complete list of divisors:
• Sum of all divisors σ(n): 19964
• Sum of proper divisors (its aliquot sum) s(n): 1
• 19963 is a deficient number, because the sum of its proper divisors (1) is less than itself. Its deficiency is 19962

### Bases of 19963

• Binary: 1001101111110112
• Base-36: FEJ

### Squares and roots of 19963

• 19963 squared (199632) is 398521369
• 19963 cubed (199633) is 7955682089347
• The square root of 19963 is 141.2904809249
• The cube root of 19963 is 27.1274269245

### Scales and comparisons

How big is 19963?
• 19,963 seconds is equal to 5 hours, 32 minutes, 43 seconds.
• To count from 1 to 19,963 would take you about five 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 19963 cubic inches would be around 2.3 feet tall.

### Recreational maths with 19963

• 19963 backwards is 36991
• The number of decimal digits it has is: 5
• The sum of 19963's digits is 28
• More coming soon!