The number 16767
16767 is a composite number with 14 divisors. Its prime factorisation is × 23. Divisors (14): 1, 3, 9, 23, 27, 69, 81, 207, 243, 621, 729, 1863, 5589, 16767.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 16767: a Harshad number: divisible by its digit sum 27.
- 2
16767 is composite. Its prime factorisation is
- 3
The divisors add up to 26232; without 16767 itself that is 9465, so 16767 is deficient (9465 is less than 16767). Euler's totient φ(16767) = 10692 numbers up to 16767 share no factor with it.
- 4
The digits of 16767 add up to 27, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 159 steps to reach 1.
LaTeX source of the formulas on this page
\[ 16767 = 3^{6} \times 23 \]16767 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 14 |
| Sum of divisors | 26232 |
| Euler totient φ(n) | 10692 |
| Square | 281132289 |
| Cube | 4713745089663 |
| Square root | 129.487451 (= 27√23) |
| Digit sum / digital root | 27 / 9 |
| Collatz steps to 1 | 159 |
| Scientific notation | 1.6767 × |
16767 in other forms
| Form | Value |
|---|---|
| In words | sixteen thousand seven hundred and sixty-seven |
| Binary (base 2) | 100000101111111 |
| Octal (base 8) | 40577 |
| Hexadecimal (base 16) | 417F |
| Base 3 | 212000000 |
| As time | 16767 seconds = 4 h 39 min 27 s |
Is 16767 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | No (remainder 1) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (16767 ÷ 3 = 5589) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 3) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 2) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 3) | 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 | No (remainder 7) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (16767 ÷ 9 = 1863) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 7) | 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 | No (remainder 3) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 16767 a prime number?
No. 16767 = × 23, so it is divisible by 3.
What are the factors of 16767?
1, 3, 9, 23, 27, 69, 81, 207, 243, 621, 729, 1863, 5589, 16767.
What is 16767 in binary?
100000101111111 (hexadecimal 417F, octal 40577).
What is the square root of 16767?
About 129.4875, exactly 27√23.
Is 16767 divisible by 3?
Yes. Its digits add up to 27, a multiple of 3.
What is special about the number 16767?
16767 is a Harshad number: divisible by its digit sum 27.