The number 36007
36007 is the 3825th prime number. Its only divisors are 1 and 36007.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 36007: the 3825th prime number; a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
36007 is prime, so its only factors are 1 and 36007. It is the 3825th prime; the next prime is 36011 and the one before is 35999.
- 3
The divisors add up to 36008; without 36007 itself that is 1, so 36007 is deficient (1 is less than 36007). Euler's totient φ(36007) = 36006 numbers up to 36007 share no factor with it.
- 4
The digits of 36007 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 98 steps to reach 1.
36007 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 36008 |
| Euler totient φ(n) | 36006 |
| Square | 1296504049 |
| Cube | 46683221292343 |
| Square root | 189.755105 |
| Digit sum / digital root | 16 / 7 |
| Collatz steps to 1 | 98 |
| Scientific notation | 3.6007 × |
36007 in other forms
| Form | Value |
|---|---|
| In words | thirty-six thousand and seven |
| Binary (base 2) | 1000110010100111 |
| Octal (base 8) | 106247 |
| Hexadecimal (base 16) | 8CA7 |
| Base 3 | 1211101121 |
| As time | 36007 seconds = 10 h 0 min 7 s |
Is 36007 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 6) | 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 7) | 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 7) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 4) | 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 36007 a prime number?
Yes. 36007 is divisible only by 1 and itself.
What are the factors of 36007?
1, 36007.
What is 36007 in binary?
1000110010100111 (hexadecimal 8CA7, octal 106247).
What is the square root of 36007?
About 189.7551.
Is 36007 divisible by 3?
No. Its digits add up to 16, which is not a multiple of 3.
What is special about the number 36007?
36007 is the 3825th prime number; a happy number: repeatedly adding the squares of its digits reaches 1.