The number 73387
73387 is the 7249th prime number. Its only divisors are 1 and 73387.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 73387: the 7249th prime number.
- 2
73387 is prime, so its only factors are 1 and 73387. It is the 7249th prime; the next prime is 73417 and the one before is 73379.
- 3
The divisors add up to 73388; without 73387 itself that is 1, so 73387 is deficient (1 is less than 73387). Euler's totient φ(73387) = 73386 numbers up to 73387 share no factor with it.
- 4
The digits of 73387 add up to 28, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 187 steps to reach 1.
73387 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 73388 |
| Euler totient φ(n) | 73386 |
| Square | 5385651769 |
| Cube | 395236826371603 |
| Square root | 270.900351 |
| Digit sum / digital root | 28 / 1 |
| Collatz steps to 1 | 187 |
| Scientific notation | 7.3387 × |
73387 in other forms
| Form | Value |
|---|---|
| In words | seventy-three thousand three hundred and eighty-seven |
| Binary (base 2) | 10001111010101011 |
| Octal (base 8) | 217253 |
| Hexadecimal (base 16) | 11EAB |
| Base 3 | 10201200001 |
| As time | 73387 seconds = 20 h 23 min 7 s |
Is 73387 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 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 | No (remainder 3) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 1) | 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 6) | 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 73387 a prime number?
Yes. 73387 is divisible only by 1 and itself.
What are the factors of 73387?
1, 73387.
What is 73387 in binary?
10001111010101011 (hexadecimal 11EAB, octal 217253).
What is the square root of 73387?
About 270.9004.
Is 73387 divisible by 3?
No. Its digits add up to 28, which is not a multiple of 3.
What is special about the number 73387?
73387 is the 7249th prime number.