# 13742

## 13,742 is an even composite number composed of two prime numbers multiplied together.

What does the number 13742 look like?

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

13742 is an even composite number. It is composed of two distinct prime numbers multiplied together. It has a total of four divisors.

## Prime factorization of 13742:

### 2 × 6871

See below for interesting mathematical facts about the number 13742 from the Numbermatics database.

### Names of 13742

• Cardinal: 13742 can be written as Thirteen thousand, seven hundred forty-two.

### Scientific notation

• Scientific notation: 1.3742 × 104

### Factors of 13742

• Number of distinct prime factors ω(n): 2
• Total number of prime factors Ω(n): 2
• Sum of prime factors: 6873

### Divisors of 13742

• Number of divisors d(n): 4
• Complete list of divisors:
• Sum of all divisors σ(n): 20616
• Sum of proper divisors (its aliquot sum) s(n): 6874
• 13742 is a deficient number, because the sum of its proper divisors (6874) is less than itself. Its deficiency is 6868

### Bases of 13742

• Binary: 110101101011102
• Base-36: ALQ

### Squares and roots of 13742

• 13742 squared (137422) is 188842564
• 13742 cubed (137423) is 2595074514488
• The square root of 13742 is 117.2262769177
• The cube root of 13742 is 23.9524521587

### Scales and comparisons

How big is 13742?
• 13,742 seconds is equal to 3 hours, 49 minutes, 2 seconds.
• To count from 1 to 13,742 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 13742 cubic inches would be around 2 feet tall.

### Recreational maths with 13742

• 13742 backwards is 24731
• The number of decimal digits it has is: 5
• The sum of 13742's digits is 17
• More coming soon!