The number 36067
36067 is the 3831st prime number. Its only divisors are 1 and 36067.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 36067: the 3831st prime number; a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
36067 is prime, so its only factors are 1 and 36067. It is the 3831st prime; the next prime is 36073 and the one before is 36061.
- 3
The divisors add up to 36068; without 36067 itself that is 1, so 36067 is deficient (1 is less than 36067). Euler's totient φ(36067) = 36066 numbers up to 36067 share no factor with it.
- 4
The digits of 36067 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 49 steps to reach 1.
36067 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 36068 |
| Euler totient φ(n) | 36066 |
| Square | 1300828489 |
| Cube | 46916981112763 |
| Square root | 189.913138 |
| Digit sum / digital root | 22 / 4 |
| Collatz steps to 1 | 49 |
| Scientific notation | 3.6067 × |
36067 in other forms
| Form | Value |
|---|---|
| In words | thirty-six thousand and sixty-seven |
| Binary (base 2) | 1000110011100011 |
| Octal (base 8) | 106343 |
| Hexadecimal (base 16) | 8CE3 |
| Base 3 | 1211110211 |
| As time | 36067 seconds = 10 h 1 min 7 s |
Is 36067 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 9) | 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 36067 a prime number?
Yes. 36067 is divisible only by 1 and itself.
What are the factors of 36067?
1, 36067.
What is 36067 in binary?
1000110011100011 (hexadecimal 8CE3, octal 106343).
What is the square root of 36067?
About 189.9131.
Is 36067 divisible by 3?
No. Its digits add up to 22, which is not a multiple of 3.
What is special about the number 36067?
36067 is the 3831st prime number; a happy number: repeatedly adding the squares of its digits reaches 1.