The number 80089
80089 is a perfect square (283²). Its prime factorisation is . Divisors (3): 1, 283, 80089.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 80089: a perfect square (283²); the square of a prime (283²).
- 2
80089 is composite. Its prime factorisation is
- 3
The divisors add up to 80373; without 80089 itself that is 284, so 80089 is deficient (284 is less than 80089). Euler's totient φ(80089) = 79806 numbers up to 80089 share no factor with it.
- 4
The digits of 80089 add up to 25, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 169 steps to reach 1.
LaTeX source of the formulas on this page
\[ 80089 = 283^{2} \]80089 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 3 |
| Sum of divisors | 80373 |
| Euler totient φ(n) | 79806 |
| Square | 6414247921 |
| Cube | 513710701744969 |
| Square root | 283 |
| Digit sum / digital root | 25 / 7 |
| Collatz steps to 1 | 169 |
| Scientific notation | 8.0089 × |
| Perfect power |
80089 in other forms
| Form | Value |
|---|---|
| In words | eighty thousand and eighty-nine |
| Binary (base 2) | 10011100011011001 |
| Octal (base 8) | 234331 |
| Hexadecimal (base 16) | 138D9 |
| Base 3 | 11001212021 |
| As time | 80089 seconds = 22 h 14 min 49 s |
Is 80089 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 1) | 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 1) | 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 | No (remainder 7) | 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 9) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 1) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 80089 a prime number?
No. 80089 = , so it is divisible by 283.
What are the factors of 80089?
1, 283, 80089.
What is 80089 in binary?
10011100011011001 (hexadecimal 138D9, octal 234331).
What is the square root of 80089?
283, because 283 × 283 = 80089.
Is 80089 divisible by 3?
No. Its digits add up to 25, which is not a multiple of 3.
What is special about the number 80089?
80089 is a perfect square (283²); the square of a prime (283²).