# 1042

## 1,042 is an even composite number composed of two prime numbers multiplied together.

What does the number 1042 look like?

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

1042 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 1042:

### 2 × 521

See below for interesting mathematical facts about the number 1042 from the Numbermatics database.

### Names of 1042

• Cardinal: 1042 can be written as One thousand and forty-two.

### Scientific notation

• Scientific notation: 1.042 × 103

### Factors of 1042

• Number of distinct prime factors ω(n): 2
• Total number of prime factors Ω(n): 2
• Sum of prime factors: 523

### Divisors of 1042

• Number of divisors d(n): 4
• Complete list of divisors:
• Sum of all divisors σ(n): 1566
• Sum of proper divisors (its aliquot sum) s(n): 524
• 1042 is a deficient number, because the sum of its proper divisors (524) is less than itself. Its deficiency is 518

### Bases of 1042

• Binary: 100000100102
• Base-36: SY

### Squares and roots of 1042

• 1042 squared (10422) is 1085764
• 1042 cubed (10423) is 1131366088
• The square root of 1042 is 32.2800247831
• The cube root of 1042 is 10.1380844909

### Scales and comparisons

How big is 1042?
• 1,042 seconds is equal to 17 minutes, 22 seconds.
• To count from 1 to 1,042 would take you about seventeen 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 1042 cubic inches would be around 0.8 feet tall.

### Recreational maths with 1042

• 1042 backwards is 2401
• The number of decimal digits it has is: 4
• The sum of 1042's digits is 7
• More coming soon!