The number 80838
80838 is a composite number with 20 divisors. Its prime factorisation is 2 × × 499. Divisors (20): 1, 2, 3, 6, 9, 18, 27, 54, 81, 162, 499, 998, 1497, 2994, 4491, 8982 … 80838.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 80838: a Harshad number: divisible by its digit sum 27.
- 2
80838 is composite. Its prime factorisation is
- 3
The divisors add up to 181500; without 80838 itself that is 100662, so 80838 is abundant (100662 is more than 80838). Euler's totient φ(80838) = 26892 numbers up to 80838 share no factor with it.
- 4
The digits of 80838 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 45 steps to reach 1.
LaTeX source of the formulas on this page
\[ 80838 = 2 \times 3^{4} \times 499 \]80838 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 20 |
| Sum of divisors | 181500 |
| Euler totient φ(n) | 26892 |
| Square | 6534782244 |
| Cube | 528258727040472 |
| Square root | 284.320242 (= 9√998) |
| Digit sum / digital root | 27 / 9 |
| Collatz steps to 1 | 45 |
| Scientific notation | 8.0838 × |
80838 in other forms
| Form | Value |
|---|---|
| In words | eighty thousand eight hundred and thirty-eight |
| Binary (base 2) | 10011101111000110 |
| Octal (base 8) | 235706 |
| Hexadecimal (base 16) | 13BC6 |
| Base 3 | 11002220000 |
| As time | 80838 seconds = 22 h 27 min 18 s |
Is 80838 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (80838 ÷ 2 = 40419) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (80838 ÷ 3 = 26946) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 2) | 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 | Yes (80838 ÷ 6 = 13473) | 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 6) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (80838 ÷ 9 = 8982) | 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 | No (remainder 10) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 6) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 80838 a prime number?
No. 80838 = 2 × × 499, so it is divisible by 2.
What are the factors of 80838?
1, 2, 3, 6, 9, 18, 27, 54, 81, 162, 499, 998, 1497, 2994, 4491, 8982, 13473, 26946, 40419, 80838.
What is 80838 in binary?
10011101111000110 (hexadecimal 13BC6, octal 235706).
What is the square root of 80838?
About 284.3202, exactly 9√998.
Is 80838 divisible by 3?
Yes. Its digits add up to 27, a multiple of 3.
What is special about the number 80838?
80838 is a Harshad number: divisible by its digit sum 27.