The number 8289
8289 is a composite number with 8 divisors. Its prime factorisation is × 307. Divisors (8): 1, 3, 9, 27, 307, 921, 2763, 8289.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 8289: a Harshad number: divisible by its digit sum 27.
- 2
8289 is composite. Its prime factorisation is
- 3
The divisors add up to 12320; without 8289 itself that is 4031, so 8289 is deficient (4031 is less than 8289). Euler's totient φ(8289) = 5508 numbers up to 8289 share no factor with it.
- 4
The digits of 8289 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 114 steps to reach 1.
LaTeX source of the formulas on this page
\[ 8289 = 3^{3} \times 307 \]8289 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 12320 |
| Euler totient φ(n) | 5508 |
| Square | 68707521 |
| Cube | 569516641569 |
| Square root | 91.043945 (= 3√921) |
| Digit sum / digital root | 27 / 9 |
| Collatz steps to 1 | 114 |
| Scientific notation | 8.289 × |
8289 in other forms
| Form | Value |
|---|---|
| In words | eight thousand two hundred and eighty-nine |
| Binary (base 2) | 10000001100001 |
| Octal (base 8) | 20141 |
| Hexadecimal (base 16) | 2061 |
| Base 3 | 102101000 |
| As time | 8289 seconds = 2 h 18 min 9 s |
Is 8289 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 (8289 ÷ 3 = 2763) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 1) | 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 | No (remainder 3) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 1) | 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 1) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (8289 ÷ 9 = 921) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 9) | 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 | No (remainder 9) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 8289 a prime number?
No. 8289 = × 307, so it is divisible by 3.
What are the factors of 8289?
1, 3, 9, 27, 307, 921, 2763, 8289.
What is 8289 in binary?
10000001100001 (hexadecimal 2061, octal 20141).
What is the square root of 8289?
About 91.0439, exactly 3√921.
Is 8289 divisible by 3?
Yes. Its digits add up to 27, a multiple of 3.
What is special about the number 8289?
8289 is a Harshad number: divisible by its digit sum 27.