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1023

Number 1023: Properties, Factors, and Mathematical Facts

Short answer

The number 1023 is an odd composite number with 8 positive divisors. Its prime factorization is 3 × 11 × 31. It is also a deficient number, which gives it several notable mathematical relationships.

Is 1023 prime?

ClassificationCompositeParityOddDivisor count8AbundanceDeficient

What is the prime factorization of 1023?

Prime factorization

1023 =
3 times 11 times 31
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What are the divisors of 1023?

Divisor count

8

Divisor sum

1,536

Proper divisor sum

513
  • 1
  • 3
  • 11
  • 31
  • 33
  • 93
  • 341
  • 1023
Learn more →Learn more →

How is 1023 classified?

Prime

CompositeLearn more →

Perfect square

No

Perfect cube

No

Fibonacci

No

Triangular

No

Power of two

No
Learn more →Learn more →

How is 1023 represented in other numeral systems?

Decimal

1023

Binary

1111111111
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Octal

1777

Hexadecimal

3FF
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Roman

MXXIIILearn more →

In words

one thousand twenty three

Roots and powers

Square root

31.984371 Approximate

Cube root

10.076086 Approximate

Nearest lower square

961

Nearest higher square

1024

Nearest lower cube

1000

Nearest higher cube

1331

What are the digit properties of 1023?

Digit count

4

Digit sum

6Learn more →

Digit product

0

Digital root

6

Reversed number

3201

Which numbers are related to 1023?

1022· Previous1024· Next1021· Previous prime1031· Next prime3· Prime factor11· Prime factor31· Prime factor961· Lower square990· Previous triangular1035· Next triangular2046· Double3201· Reverse

Why these results are true

  • 1023 is composite because it has positive divisors other than 1 and itself.

Compare this number

FAQ for 1023

Is 1023 prime?
No
What is the prime factorization of 1023?
3 × 11 × 31
Is 1023 a perfect square?
No
What is 1023 in binary?
1111111111
What is 1023 in Roman numerals?
MXXIII

Read calculation methodology