# 5202

## 5,202 is an even composite number composed of three prime numbers multiplied together.

What does the number 5202 look like?

This visualization shows the relationship between its 3 prime factors (large circles) and 18 divisors.

5202 is an even composite number. It is composed of three distinct prime numbers multiplied together. It has a total of eighteen divisors.

## Prime factorization of 5202:

### 2 × 32 × 172

(2 × 3 × 3 × 17 × 17)

See below for interesting mathematical facts about the number 5202 from the Numbermatics database.

### Names of 5202

• Cardinal: 5202 can be written as Five thousand, two hundred two.

### Scientific notation

• Scientific notation: 5.202 × 103

### Factors of 5202

• Number of distinct prime factors ω(n): 3
• Total number of prime factors Ω(n): 5
• Sum of prime factors: 22

### Divisors of 5202

• Number of divisors d(n): 18
• Complete list of divisors:
• Sum of all divisors σ(n): 11973
• Sum of proper divisors (its aliquot sum) s(n): 6771
• 5202 is an abundant number, because the sum of its proper divisors (6771) is greater than itself. Its abundance is 1569

### Bases of 5202

• Binary: 10100010100102
• Base-36: 40I

### Squares and roots of 5202

• 5202 squared (52022) is 27060804
• 5202 cubed (52023) is 140770302408
• The square root of 5202 is 72.1248916811
• The cube root of 5202 is 17.3270029479

### Scales and comparisons

How big is 5202?
• 5,202 seconds is equal to 1 hour, 26 minutes, 42 seconds.
• To count from 1 to 5,202 would take you about twenty-six 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 5202 cubic inches would be around 1.4 feet tall.

### Recreational maths with 5202

• 5202 backwards is 2025
• 5202 is a Harshad number.
• The number of decimal digits it has is: 4
• The sum of 5202's digits is 9
• More coming soon!