# 4042

## 4,042 is an even composite number composed of three prime numbers multiplied together.

What does the number 4042 look like?

This visualization shows the relationship between its 3 prime factors (large circles) and 8 divisors.

4042 is an even composite number. It is composed of three distinct prime numbers multiplied together. It has a total of eight divisors.

## Prime factorization of 4042:

### 2 × 43 × 47

See below for interesting mathematical facts about the number 4042 from the Numbermatics database.

### Names of 4042

• Cardinal: 4042 can be written as Four thousand and forty-two.

### Scientific notation

• Scientific notation: 4.042 × 103

### Factors of 4042

• Number of distinct prime factors ω(n): 3
• Total number of prime factors Ω(n): 3
• Sum of prime factors: 92

### Divisors of 4042

• Number of divisors d(n): 8
• Complete list of divisors:
• Sum of all divisors σ(n): 6336
• Sum of proper divisors (its aliquot sum) s(n): 2294
• 4042 is a deficient number, because the sum of its proper divisors (2294) is less than itself. Its deficiency is 1748

### Bases of 4042

• Binary: 1111110010102
• Base-36: 34A

### Squares and roots of 4042

• 4042 squared (40422) is 16337764
• 4042 cubed (40423) is 66037242088
• The square root of 4042 is 63.5767253011
• The cube root of 4042 is 15.9293762263

### Scales and comparisons

How big is 4042?
• 4,042 seconds is equal to 1 hour, 7 minutes, 22 seconds.
• To count from 1 to 4,042 would take you about seven minutes.

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 4042 cubic inches would be around 1.3 feet tall.

### Recreational maths with 4042

• 4042 backwards is 2404
• The number of decimal digits it has is: 4
• The sum of 4042's digits is 10
• More coming soon!