# 4259

## 4,259 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 4259 look like?

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

4259 is a prime number. Like all primes (except two), it is an odd number.

## Prime factorization of 4259:

### 4259

See below for interesting mathematical facts about the number 4259 from the Numbermatics database.

### Names of 4259

• Cardinal: 4259 can be written as Four thousand, two hundred fifty-nine.

### Scientific notation

• Scientific notation: 4.259 × 103

### Factors of 4259

• Number of distinct prime factors ω(n): 1
• Total number of prime factors Ω(n): 1
• Sum of prime factors: 4259

### Divisors of 4259

• Number of divisors d(n): 2
• Complete list of divisors:
• Sum of all divisors σ(n): 4260
• Sum of proper divisors (its aliquot sum) s(n): 1
• 4259 is a deficient number, because the sum of its proper divisors (1) is less than itself. Its deficiency is 4258

### Bases of 4259

• Binary: 10000101000112
• Base-36: 3AB

### Squares and roots of 4259

• 4259 squared (42592) is 18139081
• 4259 cubed (42593) is 77254345979
• The square root of 4259 is 65.2610143961
• The cube root of 4259 is 16.2094848689

### Scales and comparisons

How big is 4259?
• 4,259 seconds is equal to 1 hour, 10 minutes, 59 seconds.
• To count from 1 to 4,259 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 4259 cubic inches would be around 1.4 feet tall.

### Recreational maths with 4259

• 4259 backwards is 9524
• 4259 is a twin prime! Its twin is 4261
• The number of decimal digits it has is: 4
• The sum of 4259's digits is 20
• More coming soon!