The number 9796
9796 is a composite number with 12 divisors. Its prime factorisation is × 31 × 79. Divisors (12): 1, 2, 4, 31, 62, 79, 124, 158, 316, 2449, 4898, 9796.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 9796: a Harshad number: divisible by its digit sum 31.
- 2
9796 is composite. Its prime factorisation is
- 3
The divisors add up to 17920; without 9796 itself that is 8124, so 9796 is deficient (8124 is less than 9796). Euler's totient φ(9796) = 4680 numbers up to 9796 share no factor with it.
- 4
The digits of 9796 add up to 31, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 135 steps to reach 1.
LaTeX source of the formulas on this page
\[ 9796 = 2^{2} \times 31 \times 79 \]9796 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 17920 |
| Euler totient φ(n) | 4680 |
| Square | 95961616 |
| Cube | 940039990336 |
| Square root | 98.974744 (= 2√2449) |
| Digit sum / digital root | 31 / 4 |
| Collatz steps to 1 | 135 |
| Scientific notation | 9.796 × |
9796 in other forms
| Form | Value |
|---|---|
| In words | nine thousand seven hundred and ninety-six |
| Binary (base 2) | 10011001000100 |
| Octal (base 8) | 23104 |
| Hexadecimal (base 16) | 2644 |
| Base 3 | 111102211 |
| As time | 9796 seconds = 2 h 43 min 16 s |
Is 9796 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (9796 ÷ 2 = 4898) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 1) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (9796 ÷ 4 = 2449) | 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 4) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 3) | 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 4) | 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 6) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 9796 a prime number?
No. 9796 = × 31 × 79, so it is divisible by 2.
What are the factors of 9796?
1, 2, 4, 31, 62, 79, 124, 158, 316, 2449, 4898, 9796.
What is 9796 in binary?
10011001000100 (hexadecimal 2644, octal 23104).
What is the square root of 9796?
About 98.9747, exactly 2√2449.
Is 9796 divisible by 3?
No. Its digits add up to 31, which is not a multiple of 3.
What is special about the number 9796?
9796 is a Harshad number: divisible by its digit sum 31.