1404
Number 1404: Properties, Factors, and Mathematical Facts
Short answer
The number 1404 is an even composite number with 24 positive divisors. Its prime factorization is 2² × 3³ × 13. It is also an abundant number, which gives it several notable mathematical relationships.
Is 1404 prime?
ClassificationCompositeParityEvenDivisor count24AbundanceAbundant
What is the prime factorization of 1404?
Prime factorization
2 squared times 3 cubed times 13
What are the divisors of 1404?
Divisor count
24
Divisor sum
3,920
Proper divisor sum
2,516
- 1
- 2
- 3
- 4
- 6
- 9
- 12
- 13
- 18
- 26
- 27
- 36
- 39
- 52
- 54
- 78
- 108
- 117
- 156
- 234
- 351
- 468
- 702
- 1404
How is 1404 classified?
How is 1404 represented in other numeral systems?
Decimal
1404
Binary
10101111100
Octal
2574
Hexadecimal
57C
Roman
MCDIVLearn more →
In words
one thousand four hundred four
Roots and powers
Square root
37.469988 Approximate
Cube root
11.197533 Approximate
Nearest lower square
1369
Nearest higher square
1444
Nearest lower cube
1331
Nearest higher cube
1728
What are the digit properties of 1404?
Which numbers are related to 1404?
Why these results are true
- 1404 is composite because it has positive divisors other than 1 and itself.
- 1404 is abundant because the sum of its proper divisors (2516) is greater than 1404.
Compare this number
FAQ for 1404
- Is 1404 prime?
- No
- What is the prime factorization of 1404?
- 2² × 3³ × 13
- Is 1404 a perfect square?
- No
- What is 1404 in binary?
- 10101111100
- What is 1404 in Roman numerals?
- MCDIV