# 13831

## 13,831 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 13831 look like?

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

13831 is a prime number. Like all primes (except two), it is an odd number.

## Prime factorization of 13831:

### 13831

See below for interesting mathematical facts about the number 13831 from the Numbermatics database.

### Names of 13831

• Cardinal: 13831 can be written as Thirteen thousand, eight hundred thirty-one.

### Scientific notation

• Scientific notation: 1.3831 × 104

### Factors of 13831

• Number of distinct prime factors ω(n): 1
• Total number of prime factors Ω(n): 1
• Sum of prime factors: 13831

### Divisors of 13831

• Number of divisors d(n): 2
• Complete list of divisors:
• Sum of all divisors σ(n): 13832
• Sum of proper divisors (its aliquot sum) s(n): 1
• 13831 is a deficient number, because the sum of its proper divisors (1) is less than itself. Its deficiency is 13830

### Bases of 13831

• Binary: 110110000001112
• Base-36: AO7

### Squares and roots of 13831

• 13831 squared (138312) is 191296561
• 13831 cubed (138313) is 2645822735191
• The square root of 13831 is 117.6052719907
• The cube root of 13831 is 24.0040502423

### Scales and comparisons

How big is 13831?
• 13,831 seconds is equal to 3 hours, 50 minutes, 31 seconds.
• To count from 1 to 13,831 would take you about three 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 13831 cubic inches would be around 2 feet tall.

### Recreational maths with 13831

• 13831 is the same when its digits are reversed! That makes it a palindromic prime number.
• The number of decimal digits it has is: 5
• The sum of 13831's digits is 16
• More coming soon!