# 523

## 523 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 523 look like?

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

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

## Prime factorization of 523:

### 523

See below for interesting mathematical facts about the number 523 from the Numbermatics database.

### Names of 523

• Cardinal: 523 can be written as Five hundred twenty-three.

### Scientific notation

• Scientific notation: 5.23 × 102

### Factors of 523

• Number of distinct prime factors ω(n): 1
• Total number of prime factors Ω(n): 1
• Sum of prime factors: 523

### Divisors of 523

• Number of divisors d(n): 2
• Complete list of divisors:
• Sum of all divisors σ(n): 524
• Sum of proper divisors (its aliquot sum) s(n): 1
• 523 is a deficient number, because the sum of its proper divisors (1) is less than itself. Its deficiency is 522

### Bases of 523

• Binary: 10000010112
• Base-36: EJ

### Squares and roots of 523

• 523 squared (5232) is 273529
• 523 cubed (5233) is 143055667
• The square root of 523 is 22.8691932519
• The cube root of 523 is 8.0568862029

### Scales and comparisons

How big is 523?
• 523 seconds is equal to 8 minutes, 43 seconds.
• To count from 1 to 523 would take you about four 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 523 cubic inches would be around 0.7 feet tall.

### Recreational maths with 523

• 523 backwards is 325
• The number of decimal digits it has is: 3
• The sum of 523's digits is 10
• More coming soon!