The number 7089
7089 is a composite number with 8 divisors. Its prime factorisation is 3 × 17 × 139. Divisors (8): 1, 3, 17, 51, 139, 417, 2363, 7089.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
7089 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
7089 is composite. Its prime factorisation is
- 3
The divisors add up to 10080; without 7089 itself that is 2991, so 7089 is deficient (2991 is less than 7089). Euler's totient φ(7089) = 4416 numbers up to 7089 share no factor with it.
- 4
The digits of 7089 add up to 24, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 57 steps to reach 1.
LaTeX source of the formulas on this page
\[ 7089 = 3 \times 17 \times 139 \]
7089 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 10080 |
| Euler totient φ(n) | 4416 |
| Square | 50253921 |
| Cube | 356250045969 |
| Square root | 84.196199 |
| Digit sum / digital root | 24 / 6 |
| Collatz steps to 1 | 57 |
| Scientific notation | 7.089 × |
7089 in other forms
| Form | Value |
|---|---|
| In words | seven thousand and eighty-nine |
| Binary (base 2) | 1101110110001 |
| Octal (base 8) | 15661 |
| Hexadecimal (base 16) | 1BB1 |
| Base 3 | 100201120 |
| As time | 7089 seconds = 1 h 58 min 9 s |
Is 7089 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 (7089 ÷ 3 = 2363) | 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 5) | 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 6) | 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 5) | 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 7089 a prime number?
No. 7089 = 3 × 17 × 139, so it is divisible by 3.
What are the factors of 7089?
1, 3, 17, 51, 139, 417, 2363, 7089.
What is 7089 in binary?
1101110110001 (hexadecimal 1BB1, octal 15661).
What is the square root of 7089?
About 84.1962.
Is 7089 divisible by 3?
Yes. Its digits add up to 24, a multiple of 3.
What is special about the number 7089?
It is a composite number with 8 divisors.