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3304

Number 3304: Properties, Factors, and Mathematical Facts

Short answer

The number 3304 is an even composite number with 16 positive divisors. Its prime factorization is 2³ × 7 × 59. It is also an abundant number, which gives it several notable mathematical relationships.

Is 3304 prime?

ClassificationCompositeParityEvenDivisor count16AbundanceAbundant

What is the prime factorization of 3304?

Prime factorization

3304 =
2 cubed times 7 times 59
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What are the divisors of 3304?

Divisor count

16

Divisor sum

7,200

Proper divisor sum

3,896
  • 1
  • 2
  • 4
  • 7
  • 8
  • 14
  • 28
  • 56
  • 59
  • 118
  • 236
  • 413
  • 472
  • 826
  • 1652
  • 3304

How is 3304 classified?

Prime

Perfect square

No

Perfect cube

No

Fibonacci

No

Triangular

No

Power of two

No

How is 3304 represented in other numeral systems?

Decimal

3304

Binary

110011101000
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Octal

6350

Hexadecimal

Roman

In words

three thousand three hundred four

Roots and powers

Square root

57.480431 Approximate

Cube root

14.894068 Approximate

Nearest lower square

3249

Nearest higher square

3364

Nearest lower cube

2744

Nearest higher cube

3375

What are the digit properties of 3304?

Digit count

4

Digit sum

Digit product

0

Digital root

1

Reversed number

4033

Why these results are true

  • 3304 is composite because it has positive divisors other than 1 and itself.
  • 3304 is abundant because the sum of its proper divisors (3896) is greater than 3304.

Compare this number

FAQ for 3304

Is 3304 prime?
No
What is the prime factorization of 3304?
2³ × 7 × 59
Is 3304 a perfect square?
No
What is 3304 in binary?
110011101000
What is 3304 in Roman numerals?
MMMCCCIV

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