The number 9836
9836 is a composite number with 6 divisors. Its prime factorisation is × 2459. Divisors (6): 1, 2, 4, 2459, 4918, 9836.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 9836: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
9836 is composite. Its prime factorisation is
- 3
The divisors add up to 17220; without 9836 itself that is 7384, so 9836 is deficient (7384 is less than 9836). Euler's totient φ(9836) = 4916 numbers up to 9836 share no factor with it.
- 4
The digits of 9836 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 104 steps to reach 1.
LaTeX source of the formulas on this page
\[ 9836 = 2^{2} \times 2459 \]9836 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 6 |
| Sum of divisors | 17220 |
| Euler totient φ(n) | 4916 |
| Square | 96746896 |
| Cube | 951602469056 |
| Square root | 99.176610 (= 2√2459) |
| Digit sum / digital root | 26 / 8 |
| Collatz steps to 1 | 104 |
| Scientific notation | 9.836 × |
9836 in other forms
| Form | Value |
|---|---|
| In words | nine thousand eight hundred and thirty-six |
| Binary (base 2) | 10011001101100 |
| Octal (base 8) | 23154 |
| Hexadecimal (base 16) | 266C |
| Base 3 | 111111022 |
| As time | 9836 seconds = 2 h 43 min 56 s |
Is 9836 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (9836 ÷ 2 = 4918) | 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 (9836 ÷ 4 = 2459) | 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 | 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 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 6) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 2) | 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 9836 a prime number?
No. 9836 = × 2459, so it is divisible by 2.
What are the factors of 9836?
1, 2, 4, 2459, 4918, 9836.
What is 9836 in binary?
10011001101100 (hexadecimal 266C, octal 23154).
What is the square root of 9836?
About 99.1766, exactly 2√2459.
Is 9836 divisible by 3?
No. Its digits add up to 26, which is not a multiple of 3.
What is special about the number 9836?
9836 is a happy number: repeatedly adding the squares of its digits reaches 1.