10404
Number 10404: Properties, Factors, and Mathematical Facts
Short answer
The number 10404 is an even composite number with 27 positive divisors. Its prime factorization is 2² × 3² × 17². It is also an abundant number and a perfect square, which gives it several notable mathematical relationships.
Is 10404 prime?
ClassificationCompositeParityEvenDivisor count27AbundanceAbundant
What is the prime factorization of 10404?
Prime factorization
2 squared times 3 squared times 17 squared
What are the divisors of 10404?
Divisor count
27
Divisor sum
27,937
Proper divisor sum
17,533
- 1
- 2
- 3
- 4
- 6
- 9
- 12
- 17
- 18
- 34
- 36
- 51
- 68
- 102
- 153
- 204
- 289
- 306
- 578
- 612
- 867
- 1156
- 1734
- 2601
How is 10404 classified?
Prime
CompositeLearn more →
Perfect square
YesLearn more →
Perfect cube
No
Fibonacci
No
Triangular
No
Power of two
No
How is 10404 represented in other numeral systems?
Decimal
10404
Binary
10100010100100
Octal
24244
Hexadecimal
28A4
Roman
No conventional Roman numeral
In words
ten thousand four hundred four
Roots and powers
Square root
102 Exact
Cube root
21.830656 Approximate
Nearest lower square
10404
Nearest higher square
10609
Nearest lower cube
9261
Nearest higher cube
10648
What are the digit properties of 10404?
Which numbers are related to 10404?
Why these results are true
- 10404 is composite because it has positive divisors other than 1 and itself.
- 10404 is abundant because the sum of its proper divisors (17533) is greater than 10404.
Compare this number
FAQ for 10404
- Is 10404 prime?
- No
- What is the prime factorization of 10404?
- 2² × 3² × 17²
- Is 10404 a perfect square?
- Yes
- What is 10404 in binary?
- 10100010100100