The number 36011
36011 is a twin prime (36011 and 36013 are both prime) and the 3826th prime number. Its only divisors are 1 and 36011.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 36011: a twin prime (36011 and 36013 are both prime); the 3826th prime number.
- 2
36011 is prime, so its only factors are 1 and 36011. It is the 3826th prime; the next prime is 36013 and the one before is 36007.
- 3
The divisors add up to 36012; without 36011 itself that is 1, so 36011 is deficient (1 is less than 36011). Euler's totient φ(36011) = 36010 numbers up to 36011 share no factor with it.
- 4
The digits of 36011 add up to 11, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 80 steps to reach 1.
36011 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 36012 |
| Euler totient φ(n) | 36010 |
| Square | 1296792121 |
| Cube | 46698781069331 |
| Square root | 189.765645 |
| Digit sum / digital root | 11 / 2 |
| Collatz steps to 1 | 80 |
| Scientific notation | 3.6011 × |
36011 in other forms
| Form | Value |
|---|---|
| In words | thirty-six thousand and eleven |
| Binary (base 2) | 1000110010101011 |
| Octal (base 8) | 106253 |
| Hexadecimal (base 16) | 8CAB |
| Base 3 | 1211101202 |
| As time | 36011 seconds = 10 h 0 min 11 s |
Is 36011 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 2) | 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 1) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 5) | 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 2) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 1) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 8) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 11) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 36011 a prime number?
Yes. 36011 is divisible only by 1 and itself.
What are the factors of 36011?
1, 36011.
What is 36011 in binary?
1000110010101011 (hexadecimal 8CAB, octal 106253).
What is the square root of 36011?
About 189.7656.
Is 36011 divisible by 3?
No. Its digits add up to 11, which is not a multiple of 3.
What is special about the number 36011?
36011 is a twin prime (36011 and 36013 are both prime); the 3826th prime number.