The number 9089
9089 is a composite number with 4 divisors. Its prime factorisation is 61 × 149. Divisors (4): 1, 61, 149, 9089.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 9089: a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 61 × 149, the product of two primes.
- 2
9089 is composite. Its prime factorisation is
- 3
The divisors add up to 9300; without 9089 itself that is 211, so 9089 is deficient (211 is less than 9089). Euler's totient φ(9089) = 8880 numbers up to 9089 share no factor with it.
- 4
The digits of 9089 add up to 26, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 140 steps to reach 1.
LaTeX source of the formulas on this page
\[ 9089 = 61 \times 149 \]
9089 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 9300 |
| Euler totient φ(n) | 8880 |
| Square | 82609921 |
| Cube | 750841571969 |
| Square root | 95.336247 |
| Digit sum / digital root | 26 / 8 |
| Collatz steps to 1 | 140 |
| Scientific notation | 9.089 × |
9089 in other forms
| Form | Value |
|---|---|
| In words | nine thousand and eighty-nine |
| Binary (base 2) | 10001110000001 |
| Octal (base 8) | 21601 |
| Hexadecimal (base 16) | 2381 |
| Base 3 | 110110122 |
| As time | 9089 seconds = 2 h 31 min 29 s |
Is 9089 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 | No (remainder 2) | 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 5) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 3) | 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 8) | 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 3) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 5) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 9089 a prime number?
No. 9089 = 61 × 149, so it is divisible by 61.
What are the factors of 9089?
1, 61, 149, 9089.
What is 9089 in binary?
10001110000001 (hexadecimal 2381, octal 21601).
What is the square root of 9089?
About 95.3362.
Is 9089 divisible by 3?
No. Its digits add up to 26, which is not a multiple of 3.
What is special about the number 9089?
9089 is a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 61 × 149, the product of two primes.