# 1023

## 1,023 is an odd composite number composed of three prime numbers multiplied together.

What does the number 1023 look like?

This visualization shows the relationship between its 3 prime factors (large circles) and 8 divisors.

1023 is an odd composite number. It is composed of three distinct prime numbers multiplied together. It has a total of eight divisors.

## Prime factorization of 1023:

### 3 × 11 × 31

See below for interesting mathematical facts about the number 1023 from the Numbermatics database.

### Names of 1023

• Cardinal: 1023 can be written as One thousand and twenty-three.

### Scientific notation

• Scientific notation: 1.023 × 103

### Factors of 1023

• Number of distinct prime factors ω(n): 3
• Total number of prime factors Ω(n): 3
• Sum of prime factors: 45

### Divisors of 1023

• Number of divisors d(n): 8
• Complete list of divisors:
• Sum of all divisors σ(n): 1536
• Sum of proper divisors (its aliquot sum) s(n): 513
• 1023 is a deficient number, because the sum of its proper divisors (513) is less than itself. Its deficiency is 510

### Bases of 1023

• Binary: 11111111112
• Base-36: SF

### Squares and roots of 1023

• 1023 squared (10232) is 1046529
• 1023 cubed (10233) is 1070599167
• The square root of 1023 is 31.9843711835
• The cube root of 1023 is 10.0760862861

### Scales and comparisons

How big is 1023?
• 1,023 seconds is equal to 17 minutes, 3 seconds.
• To count from 1 to 1,023 would take you about seventeen 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 1023 cubic inches would be around 0.8 feet tall.

### Recreational maths with 1023

• 1023 backwards is 3201
• The number of decimal digits it has is: 4
• The sum of 1023's digits is 6
• More coming soon!