The number 80809
80809 is the 7910th prime number. Its only divisors are 1 and 80809.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 80809: the 7910th prime number.
- 2
80809 is prime, so its only factors are 1 and 80809. It is the 7910th prime; the next prime is 80819 and the one before is 80803.
- 3
The divisors add up to 80810; without 80809 itself that is 1, so 80809 is deficient (1 is less than 80809). Euler's totient φ(80809) = 80808 numbers up to 80809 share no factor with it.
- 4
The digits of 80809 add up to 25, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 275 steps to reach 1.
80809 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 80810 |
| Euler totient φ(n) | 80808 |
| Square | 6530094481 |
| Cube | 527690404915129 |
| Square root | 284.269239 |
| Digit sum / digital root | 25 / 7 |
| Collatz steps to 1 | 275 |
| Scientific notation | 8.0809 × |
80809 in other forms
| Form | Value |
|---|---|
| In words | eighty thousand eight hundred and nine |
| Binary (base 2) | 10011101110101001 |
| Octal (base 8) | 235651 |
| Hexadecimal (base 16) | 13BA9 |
| Base 3 | 11002211221 |
| As time | 80809 seconds = 22 h 26 min 49 s |
Is 80809 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 | No (remainder 1) | 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 1) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 1) | 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 | No (remainder 7) | 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 3) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 1) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 80809 a prime number?
Yes. 80809 is divisible only by 1 and itself.
What are the factors of 80809?
1, 80809.
What is 80809 in binary?
10011101110101001 (hexadecimal 13BA9, octal 235651).
What is the square root of 80809?
About 284.2692.
Is 80809 divisible by 3?
No. Its digits add up to 25, which is not a multiple of 3.
What is special about the number 80809?
80809 is the 7910th prime number.