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1024

Number 1024: Properties, Factors, and Mathematical Facts

Short answer

The number 1024 is an even composite number with 11 positive divisors. Its prime factorization is 2¹⁰. It is also a deficient number, a perfect square, and a power of two, which gives it several notable mathematical relationships.

Is 1024 prime?

ClassificationCompositeParityEvenDivisor count11AbundanceDeficient

What is the prime factorization of 1024?

Prime factorization

1024 =
2 to the power of 10
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What are the divisors of 1024?

Divisor count

11

Divisor sum

2,047

Proper divisor sum

1,023
  • 1
  • 2
  • 4
  • 8
  • 16
  • 32
  • 64
  • 128
  • 256
  • 512
  • 1024

How is 1024 classified?

Prime

Perfect square

Perfect cube

No

Fibonacci

No

Triangular

No

Power of two

Yes

How is 1024 represented in other numeral systems?

Decimal

1024

Binary

10000000000
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Octal

2000

Hexadecimal

Roman

In words

one thousand twenty four

Roots and powers

Square root

32 Exact

Cube root

10.079368 Approximate

Nearest lower square

1024

Nearest higher square

1089

Nearest lower cube

1000

Nearest higher cube

1331

Sequence position

Power of two

2^10

What are the digit properties of 1024?

Digit count

4

Digit sum

Digit product

0

Digital root

7

Reversed number

4201

Why these results are true

  • 1024 is composite because it has positive divisors other than 1 and itself.

Compare this number

FAQ for 1024

Is 1024 prime?
No
What is the prime factorization of 1024?
2¹⁰
Is 1024 a perfect square?
Yes
What is 1024 in binary?
10000000000
What is 1024 in Roman numerals?
MXXIV

Read calculation methodology