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131841

Number 131841: Properties, Factors, and Mathematical Facts

Short answer

The number 131841 is an odd composite number with 16 positive divisors. Its prime factorization is 3³ × 19 × 257. It is also a deficient number and a triangular number, which gives it several notable mathematical relationships.

Is 131841 prime?

ClassificationCompositeParityOddDivisor count16AbundanceDeficient

What is the prime factorization of 131841?

Prime factorization

131841 =
3 cubed times 19 times 257
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What are the divisors of 131841?

Divisor count

16

Divisor sum

206,400

Proper divisor sum

74,559
  • 1
  • 3
  • 9
  • 19
  • 27
  • 57
  • 171
  • 257
  • 513
  • 771
  • 2313
  • 4883
  • 6939
  • 14649
  • 43947
  • 131841

How is 131841 classified?

Prime

Perfect square

No

Perfect cube

No

Fibonacci

No

Triangular

Power of two

No

How is 131841 represented in other numeral systems?

Decimal

131841

Binary

100000001100000001
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Octal

401401

Hexadecimal

20301
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Roman

No conventional Roman numeral

In words

one hundred thirty one thousand eight hundred forty one

Roots and powers

Square root

363.099160 Approximate

Cube root

50.895982 Approximate

Nearest lower square

131769

Nearest higher square

132496

Nearest lower cube

125000

Nearest higher cube

132651

Sequence position

Triangular

Index: 513

What are the digit properties of 131841?

Digit count

6

Digit sum

Digit product

96

Digital root

9

Reversed number

148131

Why these results are true

  • 131841 is composite because it has positive divisors other than 1 and itself.
  • 131841 is triangular because it equals 513×(513+1)/2.

Compare this number

FAQ for 131841

Is 131841 prime?
No
What is the prime factorization of 131841?
3³ × 19 × 257
Is 131841 a perfect square?
No
What is 131841 in binary?
100000001100000001

Read calculation methodology