The number 9810
9810 is a composite number with 24 divisors. Its prime factorisation is 2 × × 5 × 109. Divisors (24): 1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90, 109, 218, 327, 545 … 9810.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 9810: a Harshad number: divisible by its digit sum 18.
- 2
9810 is composite. Its prime factorisation is
- 3
The divisors add up to 25740; without 9810 itself that is 15930, so 9810 is abundant (15930 is more than 9810). Euler's totient φ(9810) = 2592 numbers up to 9810 share no factor with it.
- 4
The digits of 9810 add up to 18, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 166 steps to reach 1.
LaTeX source of the formulas on this page
\[ 9810 = 2 \times 3^{2} \times 5 \times 109 \]9810 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 25740 |
| Euler totient φ(n) | 2592 |
| Square | 96236100 |
| Cube | 944076141000 |
| Square root | 99.045444 (= 3√1090) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 166 |
| Scientific notation | 9.81 × |
9810 in other forms
| Form | Value |
|---|---|
| In words | nine thousand eight hundred and ten |
| Binary (base 2) | 10011001010010 |
| Octal (base 8) | 23122 |
| Hexadecimal (base 16) | 2652 |
| Base 3 | 111110100 |
| As time | 9810 seconds = 2 h 43 min 30 s |
Is 9810 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (9810 ÷ 2 = 4905) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (9810 ÷ 3 = 3270) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 2) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (9810 ÷ 5 = 1962) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (9810 ÷ 6 = 1635) | 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 2) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (9810 ÷ 9 = 1090) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (9810 ÷ 10 = 981) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 9) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 6) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 9810 a prime number?
No. 9810 = 2 × × 5 × 109, so it is divisible by 2.
What are the factors of 9810?
1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90, 109, 218, 327, 545, 654, 981, 1090, 1635, 1962, 3270, 4905, 9810.
What is 9810 in binary?
10011001010010 (hexadecimal 2652, octal 23122).
What is the square root of 9810?
About 99.0454, exactly 3√1090.
Is 9810 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 9810?
9810 is a Harshad number: divisible by its digit sum 18.