The number 9678
9678 is a composite number with 8 divisors. Its prime factorisation is 2 × 3 × 1613. Divisors (8): 1, 2, 3, 6, 1613, 3226, 4839, 9678.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 9678: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
9678 is composite. Its prime factorisation is
- 3
The divisors add up to 19368; without 9678 itself that is 9690, so 9678 is abundant (9690 is more than 9678). Euler's totient φ(9678) = 3224 numbers up to 9678 share no factor with it.
- 4
The digits of 9678 add up to 30, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 166 steps to reach 1.
LaTeX source of the formulas on this page
\[ 9678 = 2 \times 3 \times 1613 \]
9678 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 19368 |
| Euler totient φ(n) | 3224 |
| Square | 93663684 |
| Cube | 906477133752 |
| Square root | 98.376827 |
| Digit sum / digital root | 30 / 3 |
| Collatz steps to 1 | 166 |
| Scientific notation | 9.678 × |
9678 in other forms
| Form | Value |
|---|---|
| In words | nine thousand six hundred and seventy-eight |
| Binary (base 2) | 10010111001110 |
| Octal (base 8) | 22716 |
| Hexadecimal (base 16) | 25CE |
| Base 3 | 111021110 |
| As time | 9678 seconds = 2 h 41 min 18 s |
Is 9678 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (9678 ÷ 2 = 4839) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (9678 ÷ 3 = 3226) | 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 3) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (9678 ÷ 6 = 1613) | 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 6) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 3) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 8) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 9) | 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 9678 a prime number?
No. 9678 = 2 × 3 × 1613, so it is divisible by 2.
What are the factors of 9678?
1, 2, 3, 6, 1613, 3226, 4839, 9678.
What is 9678 in binary?
10010111001110 (hexadecimal 25CE, octal 22716).
What is the square root of 9678?
About 98.3768.
Is 9678 divisible by 3?
Yes. Its digits add up to 30, a multiple of 3.
What is special about the number 9678?
9678 is a happy number: repeatedly adding the squares of its digits reaches 1.