The number 13404
13404 is a composite number with 12 divisors. Its prime factorisation is × 3 × 1117. Divisors (12): 1, 2, 3, 4, 6, 12, 1117, 2234, 3351, 4468, 6702, 13404.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 13404: a Harshad number: divisible by its digit sum 12.
- 2
13404 is composite. Its prime factorisation is
- 3
The divisors add up to 31304; without 13404 itself that is 17900, so 13404 is abundant (17900 is more than 13404). Euler's totient φ(13404) = 4464 numbers up to 13404 share no factor with it.
- 4
The digits of 13404 add up to 12, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 138 steps to reach 1.
LaTeX source of the formulas on this page
\[ 13404 = 2^{2} \times 3 \times 1117 \]13404 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 31304 |
| Euler totient φ(n) | 4464 |
| Square | 179667216 |
| Cube | 2408259363264 |
| Square root | 115.775645 (= 2√3351) |
| Digit sum / digital root | 12 / 3 |
| Collatz steps to 1 | 138 |
| Scientific notation | 1.3404 × |
13404 in other forms
| Form | Value |
|---|---|
| In words | thirteen thousand four hundred and four |
| Binary (base 2) | 11010001011100 |
| Octal (base 8) | 32134 |
| Hexadecimal (base 16) | 345C |
| Base 3 | 200101110 |
| As time | 13404 seconds = 3 h 43 min 24 s |
Is 13404 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (13404 ÷ 2 = 6702) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (13404 ÷ 3 = 4468) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (13404 ÷ 4 = 3351) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 4) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (13404 ÷ 6 = 2234) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 6) | A number is divisible by 7 if double the last digit and subtract it from the rest: the result is a multiple of 7. |
| 8 | No (remainder 4) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 3) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 4) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 6) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (13404 ÷ 12 = 1117) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 13404 a prime number?
No. 13404 = × 3 × 1117, so it is divisible by 2.
What are the factors of 13404?
1, 2, 3, 4, 6, 12, 1117, 2234, 3351, 4468, 6702, 13404.
What is 13404 in binary?
11010001011100 (hexadecimal 345C, octal 32134).
What is the square root of 13404?
About 115.7756, exactly 2√3351.
Is 13404 divisible by 3?
Yes. Its digits add up to 12, a multiple of 3.
What is special about the number 13404?
13404 is a Harshad number: divisible by its digit sum 12.