# 7901

## 7,901 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 7901 look like?

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

7901 is a prime number. Like all primes (except two), it is an odd number.

## Prime factorization of 7901:

### 7901

See below for interesting mathematical facts about the number 7901 from the Numbermatics database.

### Names of 7901

• Cardinal: 7901 can be written as Seven thousand, nine hundred one.

### Scientific notation

• Scientific notation: 7.901 × 103

### Factors of 7901

• Number of distinct prime factors ω(n): 1
• Total number of prime factors Ω(n): 1
• Sum of prime factors: 7901

### Divisors of 7901

• Number of divisors d(n): 2
• Complete list of divisors:
• Sum of all divisors σ(n): 7902
• Sum of proper divisors (its aliquot sum) s(n): 1
• 7901 is a deficient number, because the sum of its proper divisors (1) is less than itself. Its deficiency is 7900

### Bases of 7901

• Binary: 11110110111012
• Base-36: 63H

### Squares and roots of 7901

• 7901 squared (79012) is 62425801
• 7901 cubed (79013) is 493226253701
• The square root of 7901 is 88.8875694345
• The cube root of 7901 is 19.9171573283

### Scales and comparisons

How big is 7901?
• 7,901 seconds is equal to 2 hours, 11 minutes, 41 seconds.
• To count from 1 to 7,901 would take you about two 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 7901 cubic inches would be around 1.7 feet tall.

### Recreational maths with 7901

• 7901 backwards is 1097
• The number of decimal digits it has is: 4
• The sum of 7901's digits is 17
• More coming soon!