The number 73089
73089 is a composite number with 8 divisors. Its prime factorisation is × 2707. Divisors (8): 1, 3, 9, 27, 2707, 8121, 24363, 73089.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 73089: a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 27.
- 2
73089 is composite. Its prime factorisation is
- 3
The divisors add up to 108320; without 73089 itself that is 35231, so 73089 is deficient (35231 is less than 73089). Euler's totient φ(73089) = 48708 numbers up to 73089 share no factor with it.
- 4
The digits of 73089 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 156 steps to reach 1.
LaTeX source of the formulas on this page
\[ 73089 = 3^{3} \times 2707 \]73089 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 108320 |
| Euler totient φ(n) | 48708 |
| Square | 5342001921 |
| Cube | 390441578403969 |
| Square root | 270.349773 (= 3√8121) |
| Digit sum / digital root | 27 / 9 |
| Collatz steps to 1 | 156 |
| Scientific notation | 7.3089 × |
73089 in other forms
| Form | Value |
|---|---|
| In words | seventy-three thousand and eighty-nine |
| Binary (base 2) | 10001110110000001 |
| Octal (base 8) | 216601 |
| Hexadecimal (base 16) | 11D81 |
| Base 3 | 10201021000 |
| As time | 73089 seconds = 20 h 18 min 9 s |
Is 73089 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 (73089 ÷ 3 = 24363) | 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 2) | 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 | Yes (73089 ÷ 9 = 8121) | 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 73089 a prime number?
No. 73089 = × 2707, so it is divisible by 3.
What are the factors of 73089?
1, 3, 9, 27, 2707, 8121, 24363, 73089.
What is 73089 in binary?
10001110110000001 (hexadecimal 11D81, octal 216601).
What is the square root of 73089?
About 270.3498, exactly 3√8121.
Is 73089 divisible by 3?
Yes. Its digits add up to 27, a multiple of 3.
What is special about the number 73089?
73089 is a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 27.