The number 73867
73867 is the 7291st prime number. Its only divisors are 1 and 73867.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 73867: the 7291st prime number.
- 2
73867 is prime, so its only factors are 1 and 73867. It is the 7291st prime; the next prime is 73877 and the one before is 73859.
- 3
The divisors add up to 73868; without 73867 itself that is 1, so 73867 is deficient (1 is less than 73867). Euler's totient φ(73867) = 73866 numbers up to 73867 share no factor with it.
- 4
The digits of 73867 add up to 31, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 81 steps to reach 1.
73867 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 73868 |
| Euler totient φ(n) | 73866 |
| Square | 5456333689 |
| Cube | 403043000605363 |
| Square root | 271.784841 |
| Digit sum / digital root | 31 / 4 |
| Collatz steps to 1 | 81 |
| Scientific notation | 7.3867 × |
73867 in other forms
| Form | Value |
|---|---|
| In words | seventy-three thousand eight hundred and sixty-seven |
| Binary (base 2) | 10010000010001011 |
| Octal (base 8) | 220213 |
| Hexadecimal (base 16) | 1208B |
| Base 3 | 10202022211 |
| As time | 73867 seconds = 20 h 31 min 7 s |
Is 73867 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 3) | 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 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 2) | 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 73867 a prime number?
Yes. 73867 is divisible only by 1 and itself.
What are the factors of 73867?
1, 73867.
What is 73867 in binary?
10010000010001011 (hexadecimal 1208B, octal 220213).
What is the square root of 73867?
About 271.7848.
Is 73867 divisible by 3?
No. Its digits add up to 31, which is not a multiple of 3.
What is special about the number 73867?
73867 is the 7291st prime number.