The number 80309
80309 is the 7864th prime number. Its only divisors are 1 and 80309.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 80309: the 7864th prime number.
- 2
80309 is prime, so its only factors are 1 and 80309. It is the 7864th prime; the next prime is 80317 and the one before is 80287.
- 3
The divisors add up to 80310; without 80309 itself that is 1, so 80309 is deficient (1 is less than 80309). Euler's totient φ(80309) = 80308 numbers up to 80309 share no factor with it.
- 4
The digits of 80309 add up to 20, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 68 steps to reach 1.
80309 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 80310 |
| Euler totient φ(n) | 80308 |
| Square | 6449535481 |
| Cube | 517955744943629 |
| Square root | 283.388426 |
| Digit sum / digital root | 20 / 2 |
| Collatz steps to 1 | 68 |
| Scientific notation | 8.0309 × |
80309 in other forms
| Form | Value |
|---|---|
| In words | eighty thousand three hundred and nine |
| Binary (base 2) | 10011100110110101 |
| Octal (base 8) | 234665 |
| Hexadecimal (base 16) | 139B5 |
| Base 3 | 11002011102 |
| As time | 80309 seconds = 22 h 18 min 29 s |
Is 80309 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 2) | 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 5) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 5) | 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 | No (remainder 2) | 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 9) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 5) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 80309 a prime number?
Yes. 80309 is divisible only by 1 and itself.
What are the factors of 80309?
1, 80309.
What is 80309 in binary?
10011100110110101 (hexadecimal 139B5, octal 234665).
What is the square root of 80309?
About 283.3884.
Is 80309 divisible by 3?
No. Its digits add up to 20, which is not a multiple of 3.
What is special about the number 80309?
80309 is the 7864th prime number.