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918

Number 918: Properties, Factors, and Mathematical Facts

Short answer

The number 918 is an even composite number with 16 positive divisors. Its prime factorization is 2 × 3³ × 17. It is also an abundant number, which gives it several notable mathematical relationships.

Is 918 prime?

ClassificationCompositeParityEvenDivisor count16AbundanceAbundant

What is the prime factorization of 918?

Prime factorization

918 =
2 times 3 cubed times 17
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What are the divisors of 918?

Divisor count

16

Divisor sum

2,160

Proper divisor sum

1,242
  • 1
  • 2
  • 3
  • 6
  • 9
  • 17
  • 18
  • 27
  • 34
  • 51
  • 54
  • 102
  • 153
  • 306
  • 459
  • 918

How is 918 classified?

Prime

Perfect square

No

Perfect cube

No

Fibonacci

No

Triangular

No

Power of two

No

How is 918 represented in other numeral systems?

Decimal

918

Binary

1110010110
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Octal

1626

Hexadecimal

Roman

In words

nine hundred eighteen

Roots and powers

Square root

30.298515 Approximate

Cube root

9.718835 Approximate

Nearest lower square

900

Nearest higher square

961

Nearest lower cube

729

Nearest higher cube

1000

What are the digit properties of 918?

Digit count

3

Digit sum

Digit product

72

Digital root

9

Reversed number

819

Why these results are true

  • 918 is composite because it has positive divisors other than 1 and itself.
  • 918 is abundant because the sum of its proper divisors (1242) is greater than 918.

Compare this number

FAQ for 918

Is 918 prime?
No
What is the prime factorization of 918?
2 × 3³ × 17
Is 918 a perfect square?
No
What is 918 in binary?
1110010110
What is 918 in Roman numerals?
CMXVIII

Read calculation methodology