# 2356

## 2,356 is an even composite number composed of three prime numbers multiplied together.

What does the number 2356 look like?

This visualization shows the relationship between its 3 prime factors (large circles) and 12 divisors.

2356 is an even composite number. It is composed of three distinct prime numbers multiplied together. It has a total of twelve divisors.

## Prime factorization of 2356:

### 22 × 19 × 31

(2 × 2 × 19 × 31)

See below for interesting mathematical facts about the number 2356 from the Numbermatics database.

### Names of 2356

• Cardinal: 2356 can be written as Two thousand, three hundred fifty-six.

### Scientific notation

• Scientific notation: 2.356 × 103

### Factors of 2356

• Number of distinct prime factors ω(n): 3
• Total number of prime factors Ω(n): 4
• Sum of prime factors: 52

### Divisors of 2356

• Number of divisors d(n): 12
• Complete list of divisors:
• Sum of all divisors σ(n): 4480
• Sum of proper divisors (its aliquot sum) s(n): 2124
• 2356 is a deficient number, because the sum of its proper divisors (2124) is less than itself. Its deficiency is 232

### Bases of 2356

• Binary: 1001001101002
• Base-36: 1TG

### Squares and roots of 2356

• 2356 squared (23562) is 5550736
• 2356 cubed (23563) is 13077534016
• The square root of 2356 is 48.5386443981
• The cube root of 2356 is 13.3063342545

### Scales and comparisons

How big is 2356?
• 2,356 seconds is equal to 39 minutes, 16 seconds.
• To count from 1 to 2,356 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 2356 cubic inches would be around 1.1 feet tall.

### Recreational maths with 2356

• 2356 backwards is 6532
• The number of decimal digits it has is: 4
• The sum of 2356's digits is 16
• More coming soon!