The number 9716
9716 is a composite number with 12 divisors. Its prime factorisation is × 7 × 347. Divisors (12): 1, 2, 4, 7, 14, 28, 347, 694, 1388, 2429, 4858, 9716.
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How to work it out
- 1
What is special about 9716: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
9716 is composite. Its prime factorisation is
- 3
The divisors add up to 19488; without 9716 itself that is 9772, so 9716 is abundant (9772 is more than 9716). Euler's totient φ(9716) = 4152 numbers up to 9716 share no factor with it.
- 4
The digits of 9716 add up to 23, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 47 steps to reach 1.
LaTeX source of the formulas on this page
\[ 9716 = 2^{2} \times 7 \times 347 \]9716 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 19488 |
| Euler totient φ(n) | 4152 |
| Square | 94400656 |
| Cube | 917196773696 |
| Square root | 98.569772 (= 2√2429) |
| Digit sum / digital root | 23 / 5 |
| Collatz steps to 1 | 47 |
| Scientific notation | 9.716 × |
9716 in other forms
| Form | Value |
|---|---|
| In words | nine thousand seven hundred and sixteen |
| Binary (base 2) | 10010111110100 |
| Octal (base 8) | 22764 |
| Hexadecimal (base 16) | 25F4 |
| Base 3 | 111022212 |
| As time | 9716 seconds = 2 h 41 min 56 s |
Is 9716 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (9716 ÷ 2 = 4858) | 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 (9716 ÷ 4 = 2429) | 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 | No (remainder 2) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (9716 ÷ 7 = 1388) | 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 5) | 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 3) | 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 9716 a prime number?
No. 9716 = × 7 × 347, so it is divisible by 2.
What are the factors of 9716?
1, 2, 4, 7, 14, 28, 347, 694, 1388, 2429, 4858, 9716.
What is 9716 in binary?
10010111110100 (hexadecimal 25F4, octal 22764).
What is the square root of 9716?
About 98.5698, exactly 2√2429.
Is 9716 divisible by 3?
No. Its digits add up to 23, which is not a multiple of 3.
What is special about the number 9716?
9716 is a happy number: repeatedly adding the squares of its digits reaches 1.