The number 9816
9816 is a composite number with 16 divisors. Its prime factorisation is × 3 × 409. Divisors (16): 1, 2, 3, 4, 6, 8, 12, 24, 409, 818, 1227, 1636, 2454, 3272, 4908, 9816.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 9816: a Harshad number: divisible by its digit sum 24.
- 2
9816 is composite. Its prime factorisation is
- 3
The divisors add up to 24600; without 9816 itself that is 14784, so 9816 is abundant (14784 is more than 9816). Euler's totient φ(9816) = 3264 numbers up to 9816 share no factor with it.
- 4
The digits of 9816 add up to 24, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 135 steps to reach 1.
LaTeX source of the formulas on this page
\[ 9816 = 2^{3} \times 3 \times 409 \]9816 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 24600 |
| Euler totient φ(n) | 3264 |
| Square | 96353856 |
| Cube | 945809450496 |
| Square root | 99.075729 (= 2√2454) |
| Digit sum / digital root | 24 / 6 |
| Collatz steps to 1 | 135 |
| Scientific notation | 9.816 × |
9816 in other forms
| Form | Value |
|---|---|
| In words | nine thousand eight hundred and sixteen |
| Binary (base 2) | 10011001011000 |
| Octal (base 8) | 23130 |
| Hexadecimal (base 16) | 2658 |
| Base 3 | 111110120 |
| As time | 9816 seconds = 2 h 43 min 36 s |
Is 9816 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (9816 ÷ 2 = 4908) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (9816 ÷ 3 = 3272) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (9816 ÷ 4 = 2454) | 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 | Yes (9816 ÷ 6 = 1636) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 2) | 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 | Yes (9816 ÷ 8 = 1227) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 6) | 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 4) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (9816 ÷ 12 = 818) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 9816 a prime number?
No. 9816 = × 3 × 409, so it is divisible by 2.
What are the factors of 9816?
1, 2, 3, 4, 6, 8, 12, 24, 409, 818, 1227, 1636, 2454, 3272, 4908, 9816.
What is 9816 in binary?
10011001011000 (hexadecimal 2658, octal 23130).
What is the square root of 9816?
About 99.0757, exactly 2√2454.
Is 9816 divisible by 3?
Yes. Its digits add up to 24, a multiple of 3.
What is special about the number 9816?
9816 is a Harshad number: divisible by its digit sum 24.