# 4201

## 4,201 is a prime number. Like all primes greater than two, it is odd and has no factors apart from itself and one.

What does the number 4201 look like?

As a prime, it is not composed of any other numbers and has no internal structure.

4201 is a prime number. Like all primes (except two), it is an odd number.

## Prime factorization of 4201:

### 4201

See below for interesting mathematical facts about the number 4201 from the Numbermatics database.

### Names of 4201

• Cardinal: 4201 can be written as Four thousand, two hundred one.

### Scientific notation

• Scientific notation: 4.201 × 103

### Factors of 4201

• Number of distinct prime factors ω(n): 1
• Total number of prime factors Ω(n): 1
• Sum of prime factors: 4201

### Divisors of 4201

• Number of divisors d(n): 2
• Complete list of divisors:
• Sum of all divisors σ(n): 4202
• Sum of proper divisors (its aliquot sum) s(n): 1
• 4201 is a deficient number, because the sum of its proper divisors (1) is less than itself. Its deficiency is 4200

### Bases of 4201

• Binary: 10000011010012
• Base-36: 38P

### Squares and roots of 4201

• 4201 squared (42012) is 17648401
• 4201 cubed (42013) is 74140932601
• The square root of 4201 is 64.8151216923
• The cube root of 4201 is 16.1355668575

### Scales and comparisons

How big is 4201?
• 4,201 seconds is equal to 1 hour, 10 minutes, 1 second.
• To count from 1 to 4,201 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 4201 cubic inches would be around 1.3 feet tall.

### Recreational maths with 4201

• 4201 backwards is 1024
• The number of decimal digits it has is: 4
• The sum of 4201's digits is 7
• More coming soon!