The number 80828
80828 is a composite number with 18 divisors. Its prime factorisation is × × 167. Divisors (18): 1, 2, 4, 11, 22, 44, 121, 167, 242, 334, 484, 668, 1837, 3674, 7348, 20207 … 80828.
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How to work it out
- 1
80828 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
80828 is composite. Its prime factorisation is
- 3
The divisors add up to 156408; without 80828 itself that is 75580, so 80828 is deficient (75580 is less than 80828). Euler's totient φ(80828) = 36520 numbers up to 80828 share no factor with it.
- 4
The digits of 80828 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 89 steps to reach 1.
LaTeX source of the formulas on this page
\[ 80828 = 2^{2} \times 11^{2} \times 167 \]80828 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 18 |
| Sum of divisors | 156408 |
| Euler totient φ(n) | 36520 |
| Square | 6533165584 |
| Cube | 528062707823552 |
| Square root | 284.302656 (= 22√167) |
| Digit sum / digital root | 26 / 8 |
| Collatz steps to 1 | 89 |
| Scientific notation | 8.0828 × |
80828 in other forms
| Form | Value |
|---|---|
| In words | eighty thousand eight hundred and twenty-eight |
| Binary (base 2) | 10011101110111100 |
| Octal (base 8) | 235674 |
| Hexadecimal (base 16) | 13BBC |
| Base 3 | 11002212122 |
| As time | 80828 seconds = 22 h 27 min 8 s |
Is 80828 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (80828 ÷ 2 = 40414) | 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 | Yes (80828 ÷ 4 = 20207) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 3) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 2) | 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 4) | 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 8) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (80828 ÷ 11 = 7348) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 80828 a prime number?
No. 80828 = × × 167, so it is divisible by 2.
What are the factors of 80828?
1, 2, 4, 11, 22, 44, 121, 167, 242, 334, 484, 668, 1837, 3674, 7348, 20207, 40414, 80828.
What is 80828 in binary?
10011101110111100 (hexadecimal 13BBC, octal 235674).
What is the square root of 80828?
About 284.3027, exactly 22√167.
Is 80828 divisible by 3?
No. Its digits add up to 26, which is not a multiple of 3.
What is special about the number 80828?
It is a composite number with 18 divisors.