The number 16704
16704 is a composite number with 42 divisors. Its prime factorisation is × × 29. Divisors (42): 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 29, 32, 36, 48, 58 … 16704.
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How to work it out
- 1
What is special about 16704: a Harshad number: divisible by its digit sum 18.
- 2
16704 is composite. Its prime factorisation is
- 3
The divisors add up to 49530; without 16704 itself that is 32826, so 16704 is abundant (32826 is more than 16704). Euler's totient φ(16704) = 5376 numbers up to 16704 share no factor with it.
- 4
The digits of 16704 add up to 18, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 35 steps to reach 1.
LaTeX source of the formulas on this page
\[ 16704 = 2^{6} \times 3^{2} \times 29 \]16704 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 42 |
| Sum of divisors | 49530 |
| Euler totient φ(n) | 5376 |
| Square | 279023616 |
| Cube | 4660810481664 |
| Square root | 129.243955 (= 24√29) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 35 |
| Scientific notation | 1.6704 × |
16704 in other forms
| Form | Value |
|---|---|
| In words | sixteen thousand seven hundred and four |
| Binary (base 2) | 100000101000000 |
| Octal (base 8) | 40500 |
| Hexadecimal (base 16) | 4140 |
| Base 3 | 211220200 |
| As time | 16704 seconds = 4 h 38 min 24 s |
Is 16704 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (16704 ÷ 2 = 8352) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (16704 ÷ 3 = 5568) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (16704 ÷ 4 = 4176) | 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 (16704 ÷ 6 = 2784) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 2) | 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 | Yes (16704 ÷ 8 = 2088) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (16704 ÷ 9 = 1856) | 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 (16704 ÷ 12 = 1392) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 16704 a prime number?
No. 16704 = × × 29, so it is divisible by 2.
What are the factors of 16704?
1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 29, 32, 36, 48, 58, 64, 72, 87, 96, 116, 144, 174, 192, 232, 261, 288, 348, 464, 522, 576, 696, 928, 1044, 1392, 1856, 2088, 2784, 4176, 5568, 8352, 16704.
What is 16704 in binary?
100000101000000 (hexadecimal 4140, octal 40500).
What is the square root of 16704?
About 129.2440, exactly 24√29.
Is 16704 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 16704?
16704 is a Harshad number: divisible by its digit sum 18.