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1053

Number 1053: Properties, Factors, and Mathematical Facts

Short answer

The number 1053 is an odd composite number with 10 positive divisors. Its prime factorization is 3⁴ × 13. It is also a deficient number, which gives it several notable mathematical relationships.

Is 1053 prime?

ClassificationCompositeParityOddDivisor count10AbundanceDeficient

What is the prime factorization of 1053?

Prime factorization

1053 =
3 to the power of 4 times 13
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What are the divisors of 1053?

Divisor count

10

Divisor sum

1,694

Proper divisor sum

641
  • 1
  • 3
  • 9
  • 13
  • 27
  • 39
  • 81
  • 117
  • 351
  • 1053
Learn more →Learn more →

How is 1053 classified?

Prime

CompositeLearn more →

Perfect square

No

Perfect cube

No

Fibonacci

No

Triangular

No

Power of two

No
Learn more →Learn more →

How is 1053 represented in other numeral systems?

Decimal

1053

Binary

10000011101
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Octal

2035

Hexadecimal

41D
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Roman

MLIIILearn more →

In words

one thousand fifty three

Roots and powers

Square root

32.449961 Approximate

Cube root

10.173634 Approximate

Nearest lower square

1024

Nearest higher square

1089

Nearest lower cube

1000

Nearest higher cube

1331

What are the digit properties of 1053?

Digit count

4

Digit sum

9Learn more →

Digit product

0

Digital root

9

Reversed number

3501

Which numbers are related to 1053?

1052· Previous1054· Next1051· Previous prime1061· Next prime3· Prime factor13· Prime factor1024· Lower square1089· Higher square1035· Previous triangular1081· Next triangular2106· Double3501· Reverse

Why these results are true

  • 1053 is composite because it has positive divisors other than 1 and itself.

Compare this number

FAQ for 1053

Is 1053 prime?
No
What is the prime factorization of 1053?
3⁴ × 13
Is 1053 a perfect square?
No
What is 1053 in binary?
10000011101
What is 1053 in Roman numerals?
MLIII

Read calculation methodology