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1729

Number 1729: Properties, Factors, and Mathematical Facts

Short answer

The number 1729 is an odd composite number with 8 positive divisors. Its prime factorization is 7 × 13 × 19. It is also a deficient number, which gives it several notable mathematical relationships.

Is 1729 prime?

ClassificationCompositeParityOddDivisor count8AbundanceDeficient

What is the prime factorization of 1729?

Prime factorization

1729 =
7 times 13 times 19
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What are the divisors of 1729?

Divisor count

8

Divisor sum

2,240

Proper divisor sum

511

How is 1729 classified?

Prime

Perfect square

No

Perfect cube

No

Fibonacci

No

Triangular

No

Power of two

No

How is 1729 represented in other numeral systems?

Decimal

1729

Binary

11011000001
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Octal

3301

Hexadecimal

Roman

In words

one thousand seven hundred twenty nine

Roots and powers

Square root

41.581246 Approximate

Cube root

12.002314 Approximate

Nearest lower square

1681

Nearest higher square

1764

Nearest lower cube

1728

Nearest higher cube

2197

What are the digit properties of 1729?

Digit count

4

Digit sum

Digit product

126

Digital root

1

Reversed number

9271

Why these results are true

  • 1729 is composite because it has positive divisors other than 1 and itself.

Compare this number

FAQ for 1729

Is 1729 prime?
No
What is the prime factorization of 1729?
7 × 13 × 19
Is 1729 a perfect square?
No
What is 1729 in binary?
11011000001
What is 1729 in Roman numerals?
MDCCXXIX

Read calculation methodology