The number 4089
4089 is a composite number with 8 divisors. Its prime factorisation is 3 × 29 × 47. Divisors (8): 1, 3, 29, 47, 87, 141, 1363, 4089.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
4089 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
4089 is composite. Its prime factorisation is
- 3
The divisors add up to 5760; without 4089 itself that is 1671, so 4089 is deficient (1671 is less than 4089). Euler's totient φ(4089) = 2576 numbers up to 4089 share no factor with it.
- 4
The digits of 4089 add up to 21, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 64 steps to reach 1.
LaTeX source of the formulas on this page
\[ 4089 = 3 \times 29 \times 47 \]
4089 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 5760 |
| Euler totient φ(n) | 2576 |
| Square | 16719921 |
| Cube | 68367756969 |
| Square root | 63.945289 |
| Digit sum / digital root | 21 / 3 |
| Collatz steps to 1 | 64 |
| Scientific notation | 4.089 × |
4089 in other forms
| Form | Value |
|---|---|
| In words | four thousand and eighty-nine |
| Binary (base 2) | 111111111001 |
| Octal (base 8) | 7771 |
| Hexadecimal (base 16) | FF9 |
| Base 3 | 12121110 |
| As time | 4089 seconds = 1 h 8 min 9 s |
Is 4089 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 (4089 ÷ 3 = 1363) | 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 1) | 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 1) | 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 9) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 8) | 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 4089 a prime number?
No. 4089 = 3 × 29 × 47, so it is divisible by 3.
What are the factors of 4089?
1, 3, 29, 47, 87, 141, 1363, 4089.
What is 4089 in binary?
111111111001 (hexadecimal FF9, octal 7771).
What is the square root of 4089?
About 63.9453.
Is 4089 divisible by 3?
Yes. Its digits add up to 21, a multiple of 3.
What is special about the number 4089?
It is a composite number with 8 divisors.