# 2042

## 2,042 is an even composite number composed of two prime numbers multiplied together.

What does the number 2042 look like?

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

2042 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 2042:

### 2 × 1021

See below for interesting mathematical facts about the number 2042 from the Numbermatics database.

### Names of 2042

• Cardinal: 2042 can be written as Two thousand and forty-two.

### Scientific notation

• Scientific notation: 2.042 × 103

### Factors of 2042

• Number of distinct prime factors ω(n): 2
• Total number of prime factors Ω(n): 2
• Sum of prime factors: 1023

### Divisors of 2042

• Number of divisors d(n): 4
• Complete list of divisors:
• Sum of all divisors σ(n): 3066
• Sum of proper divisors (its aliquot sum) s(n): 1024
• 2042 is a deficient number, because the sum of its proper divisors (1024) is less than itself. Its deficiency is 1018

### Bases of 2042

• Binary: 111111110102
• Base-36: 1KQ

### Squares and roots of 2042

• 2042 squared (20422) is 4169764
• 2042 cubed (20423) is 8514658088
• The square root of 2042 is 45.1884941109
• The cube root of 2042 is 12.6867947143

### Scales and comparisons

How big is 2042?
• 2,042 seconds is equal to 34 minutes, 2 seconds.
• To count from 1 to 2,042 would take you about thirty-four 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 2042 cubic inches would be around 1.1 feet tall.

### Recreational maths with 2042

• 2042 backwards is 2402
• The number of decimal digits it has is: 4
• The sum of 2042's digits is 8
• More coming soon!