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1998

Number 1998: Properties, Factors, and Mathematical Facts

Short answer

The number 1998 is an even composite number with 16 positive divisors. Its prime factorization is 2 × 3³ × 37. It is also an abundant number, which gives it several notable mathematical relationships.

Is 1998 prime?

ClassificationCompositeParityEvenDivisor count16AbundanceAbundant

What is the prime factorization of 1998?

Prime factorization

1998 =
2 times 3 cubed times 37
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What are the divisors of 1998?

Divisor count

16

Divisor sum

4,560

Proper divisor sum

2,562
  • 1
  • 2
  • 3
  • 6
  • 9
  • 18
  • 27
  • 37
  • 54
  • 74
  • 111
  • 222
  • 333
  • 666
  • 999
  • 1998

How is 1998 classified?

Prime

Perfect square

No

Perfect cube

No

Fibonacci

No

Triangular

No

Power of two

No

How is 1998 represented in other numeral systems?

Decimal

1998

Binary

11111001110
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Octal

3716

Hexadecimal

Roman

In words

one thousand nine hundred ninety eight

Roots and powers

Square root

44.698993 Approximate

Cube root

12.595009 Approximate

Nearest lower square

1936

Nearest higher square

2025

Nearest lower cube

1728

Nearest higher cube

2197

What are the digit properties of 1998?

Digit count

4

Digit sum

Digit product

648

Digital root

9

Reversed number

8991

Why these results are true

  • 1998 is composite because it has positive divisors other than 1 and itself.
  • 1998 is abundant because the sum of its proper divisors (2562) is greater than 1998.

Compare this number

FAQ for 1998

Is 1998 prime?
No
What is the prime factorization of 1998?
2 × 3³ × 37
Is 1998 a perfect square?
No
What is 1998 in binary?
11111001110
What is 1998 in Roman numerals?
MCMXCVIII

Read calculation methodology