# 5623

## 5,623 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 5623 look like?

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

5623 is a prime number. Like all primes (except two), it is an odd number.

## Prime factorization of 5623:

### 5623

See below for interesting mathematical facts about the number 5623 from the Numbermatics database.

### Names of 5623

• Cardinal: 5623 can be written as Five thousand, six hundred twenty-three.

### Scientific notation

• Scientific notation: 5.623 × 103

### Factors of 5623

• Number of distinct prime factors ω(n): 1
• Total number of prime factors Ω(n): 1
• Sum of prime factors: 5623

### Divisors of 5623

• Number of divisors d(n): 2
• Complete list of divisors:
• Sum of all divisors σ(n): 5624
• Sum of proper divisors (its aliquot sum) s(n): 1
• 5623 is a deficient number, because the sum of its proper divisors (1) is less than itself. Its deficiency is 5622

### Bases of 5623

• Binary: 10101111101112
• Base-36: 4C7

### Squares and roots of 5623

• 5623 squared (56232) is 31618129
• 5623 cubed (56233) is 177788739367
• The square root of 5623 is 74.9866654813
• The cube root of 5623 is 17.7823584839

### Scales and comparisons

How big is 5623?
• 5,623 seconds is equal to 1 hour, 33 minutes, 43 seconds.
• To count from 1 to 5,623 would take you about thirty-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 5623 cubic inches would be around 1.5 feet tall.

### Recreational maths with 5623

• 5623 backwards is 3265
• The number of decimal digits it has is: 4
• The sum of 5623's digits is 16
• More coming soon!