The number 73309
73309 is the 7241st prime number. Its only divisors are 1 and 73309.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 73309: the 7241st prime number.
- 2
73309 is prime, so its only factors are 1 and 73309. It is the 7241st prime; the next prime is 73327 and the one before is 73303.
- 3
The divisors add up to 73310; without 73309 itself that is 1, so 73309 is deficient (1 is less than 73309). Euler's totient φ(73309) = 73308 numbers up to 73309 share no factor with it.
- 4
The digits of 73309 add up to 22, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 37 steps to reach 1.
73309 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 73310 |
| Euler totient φ(n) | 73308 |
| Square | 5374209481 |
| Cube | 393977922842629 |
| Square root | 270.756348 |
| Digit sum / digital root | 22 / 4 |
| Collatz steps to 1 | 37 |
| Scientific notation | 7.3309 × |
73309 in other forms
| Form | Value |
|---|---|
| In words | seventy-three thousand three hundred and nine |
| Binary (base 2) | 10001111001011101 |
| Octal (base 8) | 217135 |
| Hexadecimal (base 16) | 11E5D |
| Base 3 | 10201120011 |
| As time | 73309 seconds = 20 h 21 min 49 s |
Is 73309 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 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 4) | 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 5) | 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 73309 a prime number?
Yes. 73309 is divisible only by 1 and itself.
What are the factors of 73309?
1, 73309.
What is 73309 in binary?
10001111001011101 (hexadecimal 11E5D, octal 217135).
What is the square root of 73309?
About 270.7563.
Is 73309 divisible by 3?
No. Its digits add up to 22, which is not a multiple of 3.
What is special about the number 73309?
73309 is the 7241st prime number.