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984

Number 984: Properties, Factors, and Mathematical Facts

Short answer

The number 984 is an even composite number with 16 positive divisors. Its prime factorization is 2³ × 3 × 41. It is also an abundant number, which gives it several notable mathematical relationships.

Is 984 prime?

ClassificationCompositeParityEvenDivisor count16AbundanceAbundant

What is the prime factorization of 984?

Prime factorization

984 =
2 cubed times 3 times 41
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What are the divisors of 984?

Divisor count

16

Divisor sum

2,520

Proper divisor sum

1,536
  • 1
  • 2
  • 3
  • 4
  • 6
  • 8
  • 12
  • 24
  • 41
  • 82
  • 123
  • 164
  • 246
  • 328
  • 492
  • 984

How is 984 classified?

Prime

Perfect square

No

Perfect cube

No

Fibonacci

No

Triangular

No

Power of two

No

How is 984 represented in other numeral systems?

Decimal

984

Binary

1111011000
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Octal

1730

Hexadecimal

Roman

In words

nine hundred eighty four

Roots and powers

Square root

31.368774 Approximate

Cube root

9.946380 Approximate

Nearest lower square

961

Nearest higher square

1024

Nearest lower cube

729

Nearest higher cube

1000

What are the digit properties of 984?

Digit count

3

Digit sum

Digit product

288

Digital root

3

Reversed number

489

Why these results are true

  • 984 is composite because it has positive divisors other than 1 and itself.
  • 984 is abundant because the sum of its proper divisors (1536) is greater than 984.

Compare this number

FAQ for 984

Is 984 prime?
No
What is the prime factorization of 984?
2³ × 3 × 41
Is 984 a perfect square?
No
What is 984 in binary?
1111011000
What is 984 in Roman numerals?
CMLXXXIV

Read calculation methodology