# 2351

## 2,351 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 2351 look like?

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

2351 is a prime number. Like all primes (except two), it is an odd number.

## Prime factorization of 2351:

### 2351

See below for interesting mathematical facts about the number 2351 from the Numbermatics database.

### Names of 2351

• Cardinal: 2351 can be written as Two thousand, three hundred fifty-one.

### Scientific notation

• Scientific notation: 2.351 × 103

### Factors of 2351

• Number of distinct prime factors ω(n): 1
• Total number of prime factors Ω(n): 1
• Sum of prime factors: 2351

### Divisors of 2351

• Number of divisors d(n): 2
• Complete list of divisors:
• Sum of all divisors σ(n): 2352
• Sum of proper divisors (its aliquot sum) s(n): 1
• 2351 is a deficient number, because the sum of its proper divisors (1) is less than itself. Its deficiency is 2350

### Bases of 2351

• Binary: 1001001011112
• Base-36: 1TB

### Squares and roots of 2351

• 2351 squared (23512) is 5527201
• 2351 cubed (23513) is 12994449551
• The square root of 2351 is 48.4871116895
• The cube root of 2351 is 13.2969145047

### Scales and comparisons

How big is 2351?
• 2,351 seconds is equal to 39 minutes, 11 seconds.
• To count from 1 to 2,351 would take you about thirty-nine 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 2351 cubic inches would be around 1.1 feet tall.

### Recreational maths with 2351

• 2351 backwards is 1532
• The number of decimal digits it has is: 4
• The sum of 2351's digits is 11
• More coming soon!