The number 73327
73327 is the 7242nd prime number. Its only divisors are 1 and 73327.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 73327: the 7242nd prime number.
- 2
73327 is prime, so its only factors are 1 and 73327. It is the 7242nd prime; the next prime is 73331 and the one before is 73309.
- 3
The divisors add up to 73328; without 73327 itself that is 1, so 73327 is deficient (1 is less than 73327). Euler's totient φ(73327) = 73326 numbers up to 73327 share no factor with it.
- 4
The digits of 73327 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 68 steps to reach 1.
73327 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 73328 |
| Euler totient φ(n) | 73326 |
| Square | 5376848929 |
| Cube | 394268201416783 |
| Square root | 270.789586 |
| Digit sum / digital root | 22 / 4 |
| Collatz steps to 1 | 68 |
| Scientific notation | 7.3327 × |
73327 in other forms
| Form | Value |
|---|---|
| In words | seventy-three thousand three hundred and twenty-seven |
| Binary (base 2) | 10001111001101111 |
| Octal (base 8) | 217157 |
| Hexadecimal (base 16) | 11E6F |
| Base 3 | 10201120211 |
| As time | 73327 seconds = 20 h 22 min 7 s |
Is 73327 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 3) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 2) | 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 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 7) | 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 7) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 1) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 7) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 73327 a prime number?
Yes. 73327 is divisible only by 1 and itself.
What are the factors of 73327?
1, 73327.
What is 73327 in binary?
10001111001101111 (hexadecimal 11E6F, octal 217157).
What is the square root of 73327?
About 270.7896.
Is 73327 divisible by 3?
No. Its digits add up to 22, which is not a multiple of 3.
What is special about the number 73327?
73327 is the 7242nd prime number.