The number 10989
10989 is a composite number with 16 divisors. Its prime factorisation is × 11 × 37. Divisors (16): 1, 3, 9, 11, 27, 33, 37, 99, 111, 297, 333, 407, 999, 1221, 3663, 10989.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 10989: a Harshad number: divisible by its digit sum 27.
- 2
10989 is composite. Its prime factorisation is
- 3
The divisors add up to 18240; without 10989 itself that is 7251, so 10989 is deficient (7251 is less than 10989). Euler's totient φ(10989) = 6480 numbers up to 10989 share no factor with it.
- 4
The digits of 10989 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 68 steps to reach 1.
LaTeX source of the formulas on this page
\[ 10989 = 3^{3} \times 11 \times 37 \]10989 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 18240 |
| Euler totient φ(n) | 6480 |
| Square | 120758121 |
| Cube | 1327010991669 |
| Square root | 104.828431 (= 3√1221) |
| Digit sum / digital root | 27 / 9 |
| Collatz steps to 1 | 68 |
| Scientific notation | 1.0989 × |
10989 in other forms
| Form | Value |
|---|---|
| In words | ten thousand nine hundred and eighty-nine |
| Binary (base 2) | 10101011101101 |
| Octal (base 8) | 25355 |
| Hexadecimal (base 16) | 2AED |
| Base 3 | 120002000 |
| As time | 10989 seconds = 3 h 3 min 9 s |
Is 10989 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 (10989 ÷ 3 = 3663) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 1) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 4) | 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 5) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (10989 ÷ 9 = 1221) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 9) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (10989 ÷ 11 = 999) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 9) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 10989 a prime number?
No. 10989 = × 11 × 37, so it is divisible by 3.
What are the factors of 10989?
1, 3, 9, 11, 27, 33, 37, 99, 111, 297, 333, 407, 999, 1221, 3663, 10989.
What is 10989 in binary?
10101011101101 (hexadecimal 2AED, octal 25355).
What is the square root of 10989?
About 104.8284, exactly 3√1221.
Is 10989 divisible by 3?
Yes. Its digits add up to 27, a multiple of 3.
What is special about the number 10989?
10989 is a Harshad number: divisible by its digit sum 27.