The number 36013
36013 is a twin prime (36011 and 36013 are both prime) and the 3827th prime number. Its only divisors are 1 and 36013.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 36013: a twin prime (36011 and 36013 are both prime); the 3827th prime number.
- 2
36013 is prime, so its only factors are 1 and 36013. It is the 3827th prime; the next prime is 36017 and the one before is 36011.
- 3
The divisors add up to 36014; without 36013 itself that is 1, so 36013 is deficient (1 is less than 36013). Euler's totient φ(36013) = 36012 numbers up to 36013 share no factor with it.
- 4
The digits of 36013 add up to 13, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 80 steps to reach 1.
36013 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 36014 |
| Euler totient φ(n) | 36012 |
| Square | 1296936169 |
| Cube | 46706562254197 |
| Square root | 189.770915 |
| Digit sum / digital root | 13 / 4 |
| Collatz steps to 1 | 80 |
| Scientific notation | 3.6013 × |
36013 in other forms
| Form | Value |
|---|---|
| In words | thirty-six thousand and thirteen |
| Binary (base 2) | 1000110010101101 |
| Octal (base 8) | 106255 |
| Hexadecimal (base 16) | 8CAD |
| Base 3 | 1211101211 |
| As time | 36013 seconds = 10 h 0 min 13 s |
Is 36013 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 1) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 3) | 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 5) | 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 5) | 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 3) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 10) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 1) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 36013 a prime number?
Yes. 36013 is divisible only by 1 and itself.
What are the factors of 36013?
1, 36013.
What is 36013 in binary?
1000110010101101 (hexadecimal 8CAD, octal 106255).
What is the square root of 36013?
About 189.7709.
Is 36013 divisible by 3?
No. Its digits add up to 13, which is not a multiple of 3.
What is special about the number 36013?
36013 is a twin prime (36011 and 36013 are both prime); the 3827th prime number.