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1204

Number 1204: Properties, Factors, and Mathematical Facts

Short answer

The number 1204 is an even composite number with 12 positive divisors. Its prime factorization is 2² × 7 × 43. It is also an abundant number, which gives it several notable mathematical relationships.

Is 1204 prime?

ClassificationCompositeParityEvenDivisor count12AbundanceAbundant

What is the prime factorization of 1204?

Prime factorization

1204 =
2 squared times 7 times 43
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What are the divisors of 1204?

Divisor count

12

Divisor sum

2,464

Proper divisor sum

1,260
  • 1
  • 2
  • 4
  • 7
  • 14
  • 28
  • 43
  • 86
  • 172
  • 301
  • 602
  • 1204

How is 1204 classified?

Prime

Perfect square

No

Perfect cube

No

Fibonacci

No

Triangular

No

Power of two

No

How is 1204 represented in other numeral systems?

Decimal

1204

Binary

10010110100
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Octal

2264

Hexadecimal

Roman

In words

one thousand two hundred four

Roots and powers

Square root

34.698703 Approximate

Cube root

10.638380 Approximate

Nearest lower square

1156

Nearest higher square

1225

Nearest lower cube

1000

Nearest higher cube

1331

What are the digit properties of 1204?

Digit count

4

Digit sum

Digit product

0

Digital root

7

Reversed number

4021

Why these results are true

  • 1204 is composite because it has positive divisors other than 1 and itself.
  • 1204 is abundant because the sum of its proper divisors (1260) is greater than 1204.

Compare this number

FAQ for 1204

Is 1204 prime?
No
What is the prime factorization of 1204?
2² × 7 × 43
Is 1204 a perfect square?
No
What is 1204 in binary?
10010110100
What is 1204 in Roman numerals?
MCCIV

Read calculation methodology