The number 9666
9666 is a composite number with 16 divisors. Its prime factorisation is 2 × × 179. Divisors (16): 1, 2, 3, 6, 9, 18, 27, 54, 179, 358, 537, 1074, 1611, 3222, 4833, 9666.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 9666: a Harshad number: divisible by its digit sum 27.
- 2
9666 is composite. Its prime factorisation is
- 3
The divisors add up to 21600; without 9666 itself that is 11934, so 9666 is abundant (11934 is more than 9666). Euler's totient φ(9666) = 3204 numbers up to 9666 share no factor with it.
- 4
The digits of 9666 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 73 steps to reach 1.
LaTeX source of the formulas on this page
\[ 9666 = 2 \times 3^{3} \times 179 \]9666 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 21600 |
| Euler totient φ(n) | 3204 |
| Square | 93431556 |
| Cube | 903109420296 |
| Square root | 98.315818 (= 3√1074) |
| Digit sum / digital root | 27 / 9 |
| Collatz steps to 1 | 73 |
| Scientific notation | 9.666 × |
9666 in other forms
| Form | Value |
|---|---|
| In words | nine thousand six hundred and sixty-six |
| Binary (base 2) | 10010111000010 |
| Octal (base 8) | 22702 |
| Hexadecimal (base 16) | 25C2 |
| Base 3 | 111021000 |
| As time | 9666 seconds = 2 h 41 min 6 s |
Is 9666 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (9666 ÷ 2 = 4833) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (9666 ÷ 3 = 3222) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 2) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 1) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (9666 ÷ 6 = 1611) | 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 2) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (9666 ÷ 9 = 1074) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 6) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 8) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 6) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 9666 a prime number?
No. 9666 = 2 × × 179, so it is divisible by 2.
What are the factors of 9666?
1, 2, 3, 6, 9, 18, 27, 54, 179, 358, 537, 1074, 1611, 3222, 4833, 9666.
What is 9666 in binary?
10010111000010 (hexadecimal 25C2, octal 22702).
What is the square root of 9666?
About 98.3158, exactly 3√1074.
Is 9666 divisible by 3?
Yes. Its digits add up to 27, a multiple of 3.
What is special about the number 9666?
9666 is a Harshad number: divisible by its digit sum 27.