The number 80289
80289 is a composite number with 12 divisors. Its prime factorisation is × 11 × 811. Divisors (12): 1, 3, 9, 11, 33, 99, 811, 2433, 7299, 8921, 26763, 80289.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
80289 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
80289 is composite. Its prime factorisation is
- 3
The divisors add up to 126672; without 80289 itself that is 46383, so 80289 is deficient (46383 is less than 80289). Euler's totient φ(80289) = 48600 numbers up to 80289 share no factor with it.
- 4
The digits of 80289 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 213 steps to reach 1.
LaTeX source of the formulas on this page
\[ 80289 = 3^{2} \times 11 \times 811 \]80289 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 126672 |
| Euler totient φ(n) | 48600 |
| Square | 6446323521 |
| Cube | 517568869177569 |
| Square root | 283.353137 (= 3√8921) |
| Digit sum / digital root | 27 / 9 |
| Collatz steps to 1 | 213 |
| Scientific notation | 8.0289 × |
80289 in other forms
| Form | Value |
|---|---|
| In words | eighty thousand two hundred and eighty-nine |
| Binary (base 2) | 10011100110100001 |
| Octal (base 8) | 234641 |
| Hexadecimal (base 16) | 139A1 |
| Base 3 | 11002010200 |
| As time | 80289 seconds = 22 h 18 min 9 s |
Is 80289 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 (80289 ÷ 3 = 26763) | 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 6) | 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 (80289 ÷ 9 = 8921) | 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 | Yes (80289 ÷ 11 = 7299) | 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 80289 a prime number?
No. 80289 = × 11 × 811, so it is divisible by 3.
What are the factors of 80289?
1, 3, 9, 11, 33, 99, 811, 2433, 7299, 8921, 26763, 80289.
What is 80289 in binary?
10011100110100001 (hexadecimal 139A1, octal 234641).
What is the square root of 80289?
About 283.3531, exactly 3√8921.
Is 80289 divisible by 3?
Yes. Its digits add up to 27, a multiple of 3.
What is special about the number 80289?
It is a composite number with 12 divisors.