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167331

Number 167331: Properties, Factors, and Mathematical Facts

Short answer

The number 167331 is an odd composite number with 12 positive divisors. Its prime factorization is 3 × 17² × 193. It is also a deficient number and a triangular number, which gives it several notable mathematical relationships.

Is 167331 prime?

ClassificationCompositeParityOddDivisor count12AbundanceDeficient

What is the prime factorization of 167331?

Prime factorization

167331 =
3 times 17 squared times 193
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What are the divisors of 167331?

Divisor count

12

Divisor sum

238,232

Proper divisor sum

70,901
  • 1
  • 3
  • 17
  • 51
  • 193
  • 289
  • 579
  • 867
  • 3281
  • 9843
  • 55777
  • 167331

How is 167331 classified?

Prime

Perfect square

No

Perfect cube

No

Fibonacci

No

Triangular

Power of two

No

How is 167331 represented in other numeral systems?

Decimal

167331

Binary

101000110110100011
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Octal

506643

Hexadecimal

28DA3
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Roman

No conventional Roman numeral

In words

one hundred sixty seven thousand three hundred thirty one

Roots and powers

Square root

409.061120 Approximate

Cube root

55.105143 Approximate

Nearest lower square

167281

Nearest higher square

168100

Nearest lower cube

166375

Nearest higher cube

175616

Sequence position

Triangular

Index: 578

What are the digit properties of 167331?

Digit count

6

Digit sum

Digit product

378

Digital root

3

Reversed number

133761

Why these results are true

  • 167331 is composite because it has positive divisors other than 1 and itself.
  • 167331 is triangular because it equals 578×(578+1)/2.

Compare this number

FAQ for 167331

Is 167331 prime?
No
What is the prime factorization of 167331?
3 × 17² × 193
Is 167331 a perfect square?
No
What is 167331 in binary?
101000110110100011

Read calculation methodology