# 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!

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"Number 1023 - Facts about the integer". Numbermatics.com. 2023. Web. 25 March 2023.

APA style:
Numbermatics. (2023). Number 1023 - Facts about the integer. Retrieved 25 March 2023, from https://numbermatics.com/n/1023/

Chicago style:
Numbermatics. 2023. "Number 1023 - Facts about the integer". https://numbermatics.com/n/1023/

The information we have on file for 1023 includes mathematical data and numerical statistics calculated using standard algorithms and methods. We are adding more all the time. If there are any features you would like to see, please contact us. Information provided for educational use, intellectual curiosity and fun!

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