The number 9855
9855 is a composite number with 16 divisors. Its prime factorisation is × 5 × 73. Divisors (16): 1, 3, 5, 9, 15, 27, 45, 73, 135, 219, 365, 657, 1095, 1971, 3285, 9855.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 9855: a Harshad number: divisible by its digit sum 27.
- 2
9855 is composite. Its prime factorisation is
- 3
The divisors add up to 17760; without 9855 itself that is 7905, so 9855 is deficient (7905 is less than 9855). Euler's totient φ(9855) = 5184 numbers up to 9855 share no factor with it.
- 4
The digits of 9855 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 96 steps to reach 1.
LaTeX source of the formulas on this page
\[ 9855 = 3^{3} \times 5 \times 73 \]9855 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 17760 |
| Euler totient φ(n) | 5184 |
| Square | 97121025 |
| Cube | 957127701375 |
| Square root | 99.272353 (= 3√1095) |
| Digit sum / digital root | 27 / 9 |
| Collatz steps to 1 | 96 |
| Scientific notation | 9.855 × |
9855 in other forms
| Form | Value |
|---|---|
| In words | nine thousand eight hundred and fifty-five |
| Binary (base 2) | 10011001111111 |
| Octal (base 8) | 23177 |
| Hexadecimal (base 16) | 267F |
| Base 3 | 111112000 |
| As time | 9855 seconds = 2 h 44 min 15 s |
Is 9855 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | No (remainder 1) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (9855 ÷ 3 = 3285) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 3) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (9855 ÷ 5 = 1971) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 3) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 6) | 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 7) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (9855 ÷ 9 = 1095) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 5) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 10) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 3) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 9855 a prime number?
No. 9855 = × 5 × 73, so it is divisible by 3.
What are the factors of 9855?
1, 3, 5, 9, 15, 27, 45, 73, 135, 219, 365, 657, 1095, 1971, 3285, 9855.
What is 9855 in binary?
10011001111111 (hexadecimal 267F, octal 23177).
What is the square root of 9855?
About 99.2724, exactly 3√1095.
Is 9855 divisible by 3?
Yes. Its digits add up to 27, a multiple of 3.
What is special about the number 9855?
9855 is a Harshad number: divisible by its digit sum 27.