The number 80829
80829 is a composite number with 12 divisors. Its prime factorisation is × 7 × 1283. Divisors (12): 1, 3, 7, 9, 21, 63, 1283, 3849, 8981, 11547, 26943, 80829.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
80829 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
80829 is composite. Its prime factorisation is
- 3
The divisors add up to 133536; without 80829 itself that is 52707, so 80829 is deficient (52707 is less than 80829). Euler's totient φ(80829) = 46152 numbers up to 80829 share no factor with it.
- 4
The digits of 80829 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 89 steps to reach 1.
LaTeX source of the formulas on this page
\[ 80829 = 3^{2} \times 7 \times 1283 \]80829 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 133536 |
| Euler totient φ(n) | 46152 |
| Square | 6533327241 |
| Cube | 528082307562789 |
| Square root | 284.304414 (= 3√8981) |
| Digit sum / digital root | 27 / 9 |
| Collatz steps to 1 | 89 |
| Scientific notation | 8.0829 × |
80829 in other forms
| Form | Value |
|---|---|
| In words | eighty thousand eight hundred and twenty-nine |
| Binary (base 2) | 10011101110111101 |
| Octal (base 8) | 235675 |
| Hexadecimal (base 16) | 13BBD |
| Base 3 | 11002212200 |
| As time | 80829 seconds = 22 h 27 min 9 s |
Is 80829 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 (80829 ÷ 3 = 26943) | 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 | Yes (80829 ÷ 7 = 11547) | 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 5) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (80829 ÷ 9 = 8981) | 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 1) | 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 80829 a prime number?
No. 80829 = × 7 × 1283, so it is divisible by 3.
What are the factors of 80829?
1, 3, 7, 9, 21, 63, 1283, 3849, 8981, 11547, 26943, 80829.
What is 80829 in binary?
10011101110111101 (hexadecimal 13BBD, octal 235675).
What is the square root of 80829?
About 284.3044, exactly 3√8981.
Is 80829 divisible by 3?
Yes. Its digits add up to 27, a multiple of 3.
What is special about the number 80829?
It is a composite number with 12 divisors.