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9948

Number 9948: Properties, Factors, and Mathematical Facts

Short answer

The number 9948 is an even composite number with 12 positive divisors. Its prime factorization is 2² × 3 × 829. It is also an abundant number, which gives it several notable mathematical relationships.

Is 9948 prime?

ClassificationCompositeParityEvenDivisor count12AbundanceAbundant

What is the prime factorization of 9948?

Prime factorization

9948 =
2 squared times 3 times 829
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What are the divisors of 9948?

Divisor count

12

Divisor sum

23,240

Proper divisor sum

13,292
  • 1
  • 2
  • 3
  • 4
  • 6
  • 12
  • 829
  • 1658
  • 2487
  • 3316
  • 4974
  • 9948

How is 9948 classified?

Prime

Perfect square

No

Perfect cube

No

Fibonacci

No

Triangular

No

Power of two

No

How is 9948 represented in other numeral systems?

Decimal

9948

Binary

10011011011100
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Octal

23334

Hexadecimal

Roman

No conventional Roman numeral

In words

nine thousand nine hundred forty eight

Roots and powers

Square root

99.739661 Approximate

Cube root

21.506938 Approximate

Nearest lower square

9801

Nearest higher square

10000

Nearest lower cube

9261

Nearest higher cube

10648

What are the digit properties of 9948?

Digit count

4

Digit sum

Digit product

2592

Digital root

3

Reversed number

8499

Why these results are true

  • 9948 is composite because it has positive divisors other than 1 and itself.
  • 9948 is abundant because the sum of its proper divisors (13292) is greater than 9948.

Compare this number

FAQ for 9948

Is 9948 prime?
No
What is the prime factorization of 9948?
2² × 3 × 829
Is 9948 a perfect square?
No
What is 9948 in binary?
10011011011100

Read calculation methodology