The number 16404
16404 is a composite number with 12 divisors. Its prime factorisation is × 3 × 1367. Divisors (12): 1, 2, 3, 4, 6, 12, 1367, 2734, 4101, 5468, 8202, 16404.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
16404 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
16404 is composite. Its prime factorisation is
- 3
The divisors add up to 38304; without 16404 itself that is 21900, so 16404 is abundant (21900 is more than 16404). Euler's totient φ(16404) = 5464 numbers up to 16404 share no factor with it.
- 4
The digits of 16404 add up to 15, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 40 steps to reach 1.
LaTeX source of the formulas on this page
\[ 16404 = 2^{2} \times 3 \times 1367 \]16404 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 38304 |
| Euler totient φ(n) | 5464 |
| Square | 269091216 |
| Cube | 4414172307264 |
| Square root | 128.078101 (= 2√4101) |
| Digit sum / digital root | 15 / 6 |
| Collatz steps to 1 | 40 |
| Scientific notation | 1.6404 × |
16404 in other forms
| Form | Value |
|---|---|
| In words | sixteen thousand four hundred and four |
| Binary (base 2) | 100000000010100 |
| Octal (base 8) | 40024 |
| Hexadecimal (base 16) | 4014 |
| Base 3 | 211111120 |
| As time | 16404 seconds = 4 h 33 min 24 s |
Is 16404 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (16404 ÷ 2 = 8202) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (16404 ÷ 3 = 5468) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (16404 ÷ 4 = 4101) | 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 (16404 ÷ 6 = 2734) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 3) | 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 6) | 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 3) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (16404 ÷ 12 = 1367) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 16404 a prime number?
No. 16404 = × 3 × 1367, so it is divisible by 2.
What are the factors of 16404?
1, 2, 3, 4, 6, 12, 1367, 2734, 4101, 5468, 8202, 16404.
What is 16404 in binary?
100000000010100 (hexadecimal 4014, octal 40024).
What is the square root of 16404?
About 128.0781, exactly 2√4101.
Is 16404 divisible by 3?
Yes. Its digits add up to 15, a multiple of 3.
What is special about the number 16404?
It is a composite number with 12 divisors.