# 15901

## 15,901 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 15901 look like?

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

15901 is a prime number. Like all primes (except two), it is an odd number.

## Prime factorization of 15901:

### 15901

See below for interesting mathematical facts about the number 15901 from the Numbermatics database.

### Names of 15901

• Cardinal: 15901 can be written as Fifteen thousand, nine hundred one.

### Scientific notation

• Scientific notation: 1.5901 × 104

### Factors of 15901

• Number of distinct prime factors ω(n): 1
• Total number of prime factors Ω(n): 1
• Sum of prime factors: 15901

### Divisors of 15901

• Number of divisors d(n): 2
• Complete list of divisors:
• Sum of all divisors σ(n): 15902
• Sum of proper divisors (its aliquot sum) s(n): 1
• 15901 is a deficient number, because the sum of its proper divisors (1) is less than itself. Its deficiency is 15900

### Bases of 15901

• Binary: 111110000111012
• Base-36: C9P

### Squares and roots of 15901

• 15901 squared (159012) is 252841801
• 15901 cubed (159013) is 4020437477701
• The square root of 15901 is 126.0991673245
• The cube root of 15901 is 25.1463416929

### Scales and comparisons

How big is 15901?
• 15,901 seconds is equal to 4 hours, 25 minutes, 1 second.
• To count from 1 to 15,901 would take you about four hours.

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 15901 cubic inches would be around 2.1 feet tall.

### Recreational maths with 15901

• 15901 backwards is 10951
• The number of decimal digits it has is: 5
• The sum of 15901's digits is 16
• More coming soon!