The number 36061
36061 is the 3830th prime number. Its only divisors are 1 and 36061.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 36061: the 3830th prime number; a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
36061 is prime, so its only factors are 1 and 36061. It is the 3830th prime; the next prime is 36067 and the one before is 36037.
- 3
The divisors add up to 36062; without 36061 itself that is 1, so 36061 is deficient (1 is less than 36061). Euler's totient φ(36061) = 36060 numbers up to 36061 share no factor with it.
- 4
The digits of 36061 add up to 16, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 93 steps to reach 1.
36061 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 36062 |
| Euler totient φ(n) | 36060 |
| Square | 1300395721 |
| Cube | 46893570094981 |
| Square root | 189.897341 |
| Digit sum / digital root | 16 / 7 |
| Collatz steps to 1 | 93 |
| Scientific notation | 3.6061 × |
36061 in other forms
| Form | Value |
|---|---|
| In words | thirty-six thousand and sixty-one |
| Binary (base 2) | 1000110011011101 |
| Octal (base 8) | 106335 |
| Hexadecimal (base 16) | 8CDD |
| Base 3 | 1211110121 |
| As time | 36061 seconds = 10 h 1 min 1 s |
Is 36061 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 1) | 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 4) | 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 7) | 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 3) | 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 36061 a prime number?
Yes. 36061 is divisible only by 1 and itself.
What are the factors of 36061?
1, 36061.
What is 36061 in binary?
1000110011011101 (hexadecimal 8CDD, octal 106335).
What is the square root of 36061?
About 189.8973.
Is 36061 divisible by 3?
No. Its digits add up to 16, which is not a multiple of 3.
What is special about the number 36061?
36061 is the 3830th prime number; a happy number: repeatedly adding the squares of its digits reaches 1.