The number 80800
80800 is a composite number with 36 divisors. Its prime factorisation is × × 101. Divisors (36): 1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 80, 100, 101, 160 … 80800.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 80800: a Harshad number: divisible by its digit sum 16.
- 2
80800 is composite. Its prime factorisation is
- 3
The divisors add up to 199206; without 80800 itself that is 118406, so 80800 is abundant (118406 is more than 80800). Euler's totient φ(80800) = 32000 numbers up to 80800 share no factor with it.
- 4
The digits of 80800 add up to 16, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 45 steps to reach 1.
LaTeX source of the formulas on this page
\[ 80800 = 2^{5} \times 5^{2} \times 101 \]80800 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 36 |
| Sum of divisors | 199206 |
| Euler totient φ(n) | 32000 |
| Square | 6528640000 |
| Cube | 527514112000000 |
| Square root | 284.253408 (= 20√202) |
| Digit sum / digital root | 16 / 7 |
| Collatz steps to 1 | 45 |
| Scientific notation | 8.08 × |
80800 in other forms
| Form | Value |
|---|---|
| In words | eighty thousand eight hundred |
| Binary (base 2) | 10011101110100000 |
| Octal (base 8) | 235640 |
| Hexadecimal (base 16) | 13BA0 |
| Base 3 | 11002211121 |
| As time | 80800 seconds = 22 h 26 min 40 s |
Is 80800 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (80800 ÷ 2 = 40400) | 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 | Yes (80800 ÷ 4 = 20200) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (80800 ÷ 5 = 16160) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 4) | 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 | Yes (80800 ÷ 8 = 10100) | 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 | Yes (80800 ÷ 10 = 8080) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 5) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 80800 a prime number?
No. 80800 = × × 101, so it is divisible by 2.
What are the factors of 80800?
1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 80, 100, 101, 160, 200, 202, 400, 404, 505, 800, 808, 1010, 1616, 2020, 2525, 3232, 4040, 5050, 8080, 10100, 16160, 20200, 40400, 80800.
What is 80800 in binary?
10011101110100000 (hexadecimal 13BA0, octal 235640).
What is the square root of 80800?
About 284.2534, exactly 20√202.
Is 80800 divisible by 3?
No. Its digits add up to 16, which is not a multiple of 3.
What is special about the number 80800?
80800 is a Harshad number: divisible by its digit sum 16.