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1005

Number 1005: Properties, Factors, and Mathematical Facts

Short answer

The number 1005 is an odd composite number with 8 positive divisors. Its prime factorization is 3 × 5 × 67. It is also a deficient number, which gives it several notable mathematical relationships.

Is 1005 prime?

ClassificationCompositeParityOddDivisor count8AbundanceDeficient

What is the prime factorization of 1005?

Prime factorization

1005 =
3 times 5 times 67
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What are the divisors of 1005?

Divisor count

8

Divisor sum

1,632

Proper divisor sum

627
  • 1
  • 3
  • 5
  • 15
  • 67
  • 201
  • 335
  • 1005
Learn more →Learn more →

How is 1005 classified?

Prime

CompositeLearn more →

Perfect square

No

Perfect cube

No

Fibonacci

No

Triangular

No

Power of two

No
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How is 1005 represented in other numeral systems?

Decimal

1005

Binary

1111101101
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Octal

1755

Hexadecimal

3ED
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Roman

MVLearn more →

In words

one thousand five

Roots and powers

Square root

31.701735 Approximate

Cube root

10.016639 Approximate

Nearest lower square

961

Nearest higher square

1024

Nearest lower cube

1000

Nearest higher cube

1331

What are the digit properties of 1005?

Digit count

4

Digit sum

6Learn more →

Digit product

0

Digital root

6

Reversed number

5001

Which numbers are related to 1005?

1004· Previous1006· Next997· Previous prime1009· Next prime3· Prime factor5· Prime factor67· Prime factor961· Lower square1024· Higher square990· Previous triangular1035· Next triangular2010· Double

Why these results are true

  • 1005 is composite because it has positive divisors other than 1 and itself.

Compare this number

FAQ for 1005

Is 1005 prime?
No
What is the prime factorization of 1005?
3 × 5 × 67
Is 1005 a perfect square?
No
What is 1005 in binary?
1111101101
What is 1005 in Roman numerals?
MV

Read calculation methodology