The number 9867
9867 is a composite number with 16 divisors. Its prime factorisation is 3 × 11 × 13 × 23. Divisors (16): 1, 3, 11, 13, 23, 33, 39, 69, 143, 253, 299, 429, 759, 897, 3289, 9867.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 9867: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
9867 is composite. Its prime factorisation is
- 3
The divisors add up to 16128; without 9867 itself that is 6261, so 9867 is deficient (6261 is less than 9867). Euler's totient φ(9867) = 5280 numbers up to 9867 share no factor with it.
- 4
The digits of 9867 add up to 30, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 73 steps to reach 1.
LaTeX source of the formulas on this page
\[ 9867 = 3 \times 11 \times 13 \times 23 \]
9867 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 16128 |
| Euler totient φ(n) | 5280 |
| Square | 97357689 |
| Cube | 960628317363 |
| Square root | 99.332774 |
| Digit sum / digital root | 30 / 3 |
| Collatz steps to 1 | 73 |
| Scientific notation | 9.867 × |
9867 in other forms
| Form | Value |
|---|---|
| In words | nine thousand eight hundred and sixty-seven |
| Binary (base 2) | 10011010001011 |
| Octal (base 8) | 23213 |
| Hexadecimal (base 16) | 268B |
| Base 3 | 111112110 |
| As time | 9867 seconds = 2 h 44 min 27 s |
Is 9867 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 (9867 ÷ 3 = 3289) | 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 | No (remainder 2) | 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 4) | 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 3) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 3) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 7) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (9867 ÷ 11 = 897) | 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 9867 a prime number?
No. 9867 = 3 × 11 × 13 × 23, so it is divisible by 3.
What are the factors of 9867?
1, 3, 11, 13, 23, 33, 39, 69, 143, 253, 299, 429, 759, 897, 3289, 9867.
What is 9867 in binary?
10011010001011 (hexadecimal 268B, octal 23213).
What is the square root of 9867?
About 99.3328.
Is 9867 divisible by 3?
Yes. Its digits add up to 30, a multiple of 3.
What is special about the number 9867?
9867 is a happy number: repeatedly adding the squares of its digits reaches 1.