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588

Number 588: Properties, Factors, and Mathematical Facts

Short answer

The number 588 is an even composite number with 18 positive divisors. Its prime factorization is 2² × 3 × 7². It is also an abundant number, which gives it several notable mathematical relationships.

Is 588 prime?

ClassificationCompositeParityEvenDivisor count18AbundanceAbundant

What is the prime factorization of 588?

Prime factorization

588 =
2 squared times 3 times 7 squared
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What are the divisors of 588?

Divisor count

18

Divisor sum

1,596

Proper divisor sum

1,008
  • 1
  • 2
  • 3
  • 4
  • 6
  • 7
  • 12
  • 14
  • 21
  • 28
  • 42
  • 49
  • 84
  • 98
  • 147
  • 196
  • 294
  • 588

How is 588 classified?

Prime

Perfect square

No

Perfect cube

No

Fibonacci

No

Triangular

No

Power of two

No

How is 588 represented in other numeral systems?

Decimal

588

Binary

1001001100
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Octal

1114

Hexadecimal

Roman

In words

five hundred eighty eight

Roots and powers

Square root

24.248711 Approximate

Cube root

8.377719 Approximate

Nearest lower square

576

Nearest higher square

625

Nearest lower cube

512

Nearest higher cube

729

What are the digit properties of 588?

Digit count

3

Digit sum

Digit product

320

Digital root

3

Reversed number

885

Why these results are true

  • 588 is composite because it has positive divisors other than 1 and itself.
  • 588 is abundant because the sum of its proper divisors (1008) is greater than 588.

Compare this number

FAQ for 588

Is 588 prime?
No
What is the prime factorization of 588?
2² × 3 × 7²
Is 588 a perfect square?
No
What is 588 in binary?
1001001100
What is 588 in Roman numerals?
DLXXXVIII

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