# 4253

## 4,253 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 4253 look like?

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

4253 is a prime number. Like all primes (except two), it is an odd number.

## Prime factorization of 4253:

### 4253

See below for interesting mathematical facts about the number 4253 from the Numbermatics database.

### Names of 4253

• Cardinal: 4253 can be written as Four thousand, two hundred fifty-three.

### Scientific notation

• Scientific notation: 4.253 × 103

### Factors of 4253

• Number of distinct prime factors ω(n): 1
• Total number of prime factors Ω(n): 1
• Sum of prime factors: 4253

### Divisors of 4253

• Number of divisors d(n): 2
• Complete list of divisors:
• Sum of all divisors σ(n): 4254
• Sum of proper divisors (its aliquot sum) s(n): 1
• 4253 is a deficient number, because the sum of its proper divisors (1) is less than itself. Its deficiency is 4252

### Bases of 4253

• Binary: 10000100111012
• Base-36: 3A5

### Squares and roots of 4253

• 4253 squared (42532) is 18088009
• 4253 cubed (42533) is 76928302277
• The square root of 4253 is 65.2150289427
• The cube root of 4253 is 16.2018694179

### Scales and comparisons

How big is 4253?
• 4,253 seconds is equal to 1 hour, 10 minutes, 53 seconds.
• To count from 1 to 4,253 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 4253 cubic inches would be around 1.4 feet tall.

### Recreational maths with 4253

• 4253 backwards is 3524
• The number of decimal digits it has is: 4
• The sum of 4253's digits is 14
• More coming soon!