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882

Number 882: Properties, Factors, and Mathematical Facts

Short answer

The number 882 is an even composite number with 18 positive divisors. Its prime factorization is 2 × 3² × 7². It is also an abundant number, which gives it several notable mathematical relationships.

Is 882 prime?

ClassificationCompositeParityEvenDivisor count18AbundanceAbundant

What is the prime factorization of 882?

Prime factorization

882 =
2 times 3 squared times 7 squared
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What are the divisors of 882?

Divisor count

18

Divisor sum

2,223

Proper divisor sum

1,341
  • 1
  • 2
  • 3
  • 6
  • 7
  • 9
  • 14
  • 18
  • 21
  • 42
  • 49
  • 63
  • 98
  • 126
  • 147
  • 294
  • 441
  • 882

How is 882 classified?

Prime

Perfect square

No

Perfect cube

No

Fibonacci

No

Triangular

No

Power of two

No

How is 882 represented in other numeral systems?

Decimal

882

Binary

1101110010
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Octal

1562

Hexadecimal

Roman

DCCCLXXXIILearn more

In words

eight hundred eighty two

Roots and powers

Square root

29.698485 Approximate

Cube root

9.590094 Approximate

Nearest lower square

841

Nearest higher square

900

Nearest lower cube

729

Nearest higher cube

1000

What are the digit properties of 882?

Digit count

3

Digit sum

Digit product

128

Digital root

9

Reversed number

288

Why these results are true

  • 882 is composite because it has positive divisors other than 1 and itself.
  • 882 is abundant because the sum of its proper divisors (1341) is greater than 882.

Compare this number

FAQ for 882

Is 882 prime?
No
What is the prime factorization of 882?
2 × 3² × 7²
Is 882 a perfect square?
No
What is 882 in binary?
1101110010
What is 882 in Roman numerals?
DCCCLXXXII

Read calculation methodology