# 4202

## 4,202 is an even composite number composed of three prime numbers multiplied together.

What does the number 4202 look like?

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

4202 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 4202:

### 2 × 11 × 191

See below for interesting mathematical facts about the number 4202 from the Numbermatics database.

### Names of 4202

• Cardinal: 4202 can be written as Four thousand, two hundred two.

### Scientific notation

• Scientific notation: 4.202 × 103

### Factors of 4202

• Number of distinct prime factors ω(n): 3
• Total number of prime factors Ω(n): 3
• Sum of prime factors: 204

### Divisors of 4202

• Number of divisors d(n): 8
• Complete list of divisors:
• Sum of all divisors σ(n): 6912
• Sum of proper divisors (its aliquot sum) s(n): 2710
• 4202 is a deficient number, because the sum of its proper divisors (2710) is less than itself. Its deficiency is 1492

### Bases of 4202

• Binary: 10000011010102
• Base-36: 38Q

### Squares and roots of 4202

• 4202 squared (42022) is 17656804
• 4202 cubed (42023) is 74193890408
• The square root of 4202 is 64.8228354825
• The cube root of 4202 is 16.1368470517

### Scales and comparisons

How big is 4202?
• 4,202 seconds is equal to 1 hour, 10 minutes, 2 seconds.
• To count from 1 to 4,202 would take you about ten 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 4202 cubic inches would be around 1.3 feet tall.

### Recreational maths with 4202

• 4202 backwards is 2024
• The number of decimal digits it has is: 4
• The sum of 4202's digits is 8
• More coming soon!

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