The number 9828
9828 is a composite number with 48 divisors. Its prime factorisation is × × 7 × 13. Divisors (48): 1, 2, 3, 4, 6, 7, 9, 12, 13, 14, 18, 21, 26, 27, 28, 36 … 9828.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 9828: a Harshad number: divisible by its digit sum 27.
- 2
9828 is composite. Its prime factorisation is
- 3
The divisors add up to 31360; without 9828 itself that is 21532, so 9828 is abundant (21532 is more than 9828). Euler's totient φ(9828) = 2592 numbers up to 9828 share no factor with it.
- 4
The digits of 9828 add up to 27, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 135 steps to reach 1.
LaTeX source of the formulas on this page
\[ 9828 = 2^{2} \times 3^{3} \times 7 \times 13 \]9828 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 48 |
| Sum of divisors | 31360 |
| Euler totient φ(n) | 2592 |
| Square | 96589584 |
| Cube | 949282431552 |
| Square root | 99.136270 (= 6√273) |
| Digit sum / digital root | 27 / 9 |
| Collatz steps to 1 | 135 |
| Scientific notation | 9.828 × |
9828 in other forms
| Form | Value |
|---|---|
| In words | nine thousand eight hundred and twenty-eight |
| Binary (base 2) | 10011001100100 |
| Octal (base 8) | 23144 |
| Hexadecimal (base 16) | 2664 |
| Base 3 | 111111000 |
| As time | 9828 seconds = 2 h 43 min 48 s |
Is 9828 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (9828 ÷ 2 = 4914) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (9828 ÷ 3 = 3276) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (9828 ÷ 4 = 2457) | 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 (9828 ÷ 6 = 1638) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (9828 ÷ 7 = 1404) | 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 | Yes (9828 ÷ 9 = 1092) | 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 5) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (9828 ÷ 12 = 819) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 9828 a prime number?
No. 9828 = × × 7 × 13, so it is divisible by 2.
What are the factors of 9828?
1, 2, 3, 4, 6, 7, 9, 12, 13, 14, 18, 21, 26, 27, 28, 36, 39, 42, 52, 54, 63, 78, 84, 91, 108, 117, 126, 156, 182, 189, 234, 252, 273, 351, 364, 378, 468, 546, 702, 756, 819, 1092, 1404, 1638, 2457, 3276, 4914, 9828.
What is 9828 in binary?
10011001100100 (hexadecimal 2664, octal 23144).
What is the square root of 9828?
About 99.1363, exactly 6√273.
Is 9828 divisible by 3?
Yes. Its digits add up to 27, a multiple of 3.
What is special about the number 9828?
9828 is a Harshad number: divisible by its digit sum 27.