# 3823

## 3,823 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 3823 look like?

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

3823 is a prime number. Like all primes (except two), it is an odd number.

## Prime factorization of 3823:

### 3823

See below for interesting mathematical facts about the number 3823 from the Numbermatics database.

### Names of 3823

• Cardinal: 3823 can be written as Three thousand, eight hundred twenty-three.

### Scientific notation

• Scientific notation: 3.823 × 103

### Factors of 3823

• Number of distinct prime factors ω(n): 1
• Total number of prime factors Ω(n): 1
• Sum of prime factors: 3823

### Divisors of 3823

• Number of divisors d(n): 2
• Complete list of divisors:
• Sum of all divisors σ(n): 3824
• Sum of proper divisors (its aliquot sum) s(n): 1
• 3823 is a deficient number, because the sum of its proper divisors (1) is less than itself. Its deficiency is 3822

### Bases of 3823

• Binary: 1110111011112
• Base-36: 2Y7

### Squares and roots of 3823

• 3823 squared (38232) is 14615329
• 3823 cubed (38233) is 55874402767
• The square root of 3823 is 61.8304132285
• The cube root of 3823 is 15.6363277857

### Scales and comparisons

How big is 3823?
• 3,823 seconds is equal to 1 hour, 3 minutes, 43 seconds.
• To count from 1 to 3,823 would take you about three 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 3823 cubic inches would be around 1.3 feet tall.

### Recreational maths with 3823

• 3823 backwards is 3283
• The number of decimal digits it has is: 4
• The sum of 3823's digits is 16
• More coming soon!