# 5642

## 5,642 is an even composite number composed of four prime numbers multiplied together.

What does the number 5642 look like?

This visualization shows the relationship between its 4 prime factors (large circles) and 16 divisors.

5642 is an even composite number. It is composed of four distinct prime numbers multiplied together. It has a total of sixteen divisors.

## Prime factorization of 5642:

### 2 × 7 × 13 × 31

See below for interesting mathematical facts about the number 5642 from the Numbermatics database.

### Names of 5642

• Cardinal: 5642 can be written as Five thousand, six hundred forty-two.

### Scientific notation

• Scientific notation: 5.642 × 103

### Factors of 5642

• Number of distinct prime factors ω(n): 4
• Total number of prime factors Ω(n): 4
• Sum of prime factors: 53

### Divisors of 5642

• Number of divisors d(n): 16
• Complete list of divisors:
• Sum of all divisors σ(n): 10752
• Sum of proper divisors (its aliquot sum) s(n): 5110
• 5642 is a deficient number, because the sum of its proper divisors (5110) is less than itself. Its deficiency is 532

### Bases of 5642

• Binary: 10110000010102
• Base-36: 4CQ

### Squares and roots of 5642

• 5642 squared (56422) is 31832164
• 5642 cubed (56423) is 179597069288
• The square root of 5642 is 75.1132478329
• The cube root of 5642 is 17.8023647071

### Scales and comparisons

How big is 5642?
• 5,642 seconds is equal to 1 hour, 34 minutes, 2 seconds.
• To count from 1 to 5,642 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 5642 cubic inches would be around 1.5 feet tall.

### Recreational maths with 5642

• 5642 backwards is 2465
• The number of decimal digits it has is: 4
• The sum of 5642's digits is 17
• More coming soon!