The number 8684
8684 is a composite number with 12 divisors. Its prime factorisation is × 13 × 167. Divisors (12): 1, 2, 4, 13, 26, 52, 167, 334, 668, 2171, 4342, 8684.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 8684: a Harshad number: divisible by its digit sum 26.
- 2
8684 is composite. Its prime factorisation is
- 3
The divisors add up to 16464; without 8684 itself that is 7780, so 8684 is deficient (7780 is less than 8684). Euler's totient φ(8684) = 3984 numbers up to 8684 share no factor with it.
- 4
The digits of 8684 add up to 26, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 52 steps to reach 1.
LaTeX source of the formulas on this page
\[ 8684 = 2^{2} \times 13 \times 167 \]8684 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 16464 |
| Euler totient φ(n) | 3984 |
| Square | 75411856 |
| Cube | 654876557504 |
| Square root | 93.187982 (= 2√2171) |
| Digit sum / digital root | 26 / 8 |
| Collatz steps to 1 | 52 |
| Scientific notation | 8.684 × |
8684 in other forms
| Form | Value |
|---|---|
| In words | eight thousand six hundred and eighty-four |
| Binary (base 2) | 10000111101100 |
| Octal (base 8) | 20754 |
| Hexadecimal (base 16) | 21EC |
| Base 3 | 102220122 |
| As time | 8684 seconds = 2 h 24 min 44 s |
Is 8684 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (8684 ÷ 2 = 4342) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 2) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (8684 ÷ 4 = 2171) | 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 2) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 4) | 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 8) | 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 5) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 8684 a prime number?
No. 8684 = × 13 × 167, so it is divisible by 2.
What are the factors of 8684?
1, 2, 4, 13, 26, 52, 167, 334, 668, 2171, 4342, 8684.
What is 8684 in binary?
10000111101100 (hexadecimal 21EC, octal 20754).
What is the square root of 8684?
About 93.1880, exactly 2√2171.
Is 8684 divisible by 3?
No. Its digits add up to 26, which is not a multiple of 3.
What is special about the number 8684?
8684 is a Harshad number: divisible by its digit sum 26.