The number 36037
36037 is the 3829th prime number. Its only divisors are 1 and 36037.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 36037: the 3829th prime number; a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
36037 is prime, so its only factors are 1 and 36037. It is the 3829th prime; the next prime is 36061 and the one before is 36017.
- 3
The divisors add up to 36038; without 36037 itself that is 1, so 36037 is deficient (1 is less than 36037). Euler's totient φ(36037) = 36036 numbers up to 36037 share no factor with it.
- 4
The digits of 36037 add up to 19, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 41 steps to reach 1.
36037 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 36038 |
| Euler totient φ(n) | 36036 |
| Square | 1298665369 |
| Cube | 46800003902653 |
| Square root | 189.834138 |
| Digit sum / digital root | 19 / 1 |
| Collatz steps to 1 | 41 |
| Scientific notation | 3.6037 × |
36037 in other forms
| Form | Value |
|---|---|
| In words | thirty-six thousand and thirty-seven |
| Binary (base 2) | 1000110011000101 |
| Octal (base 8) | 106305 |
| Hexadecimal (base 16) | 8CC5 |
| Base 3 | 1211102201 |
| As time | 36037 seconds = 10 h 0 min 37 s |
Is 36037 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 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 1) | 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 1) | 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 1) | 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 36037 a prime number?
Yes. 36037 is divisible only by 1 and itself.
What are the factors of 36037?
1, 36037.
What is 36037 in binary?
1000110011000101 (hexadecimal 8CC5, octal 106305).
What is the square root of 36037?
About 189.8341.
Is 36037 divisible by 3?
No. Its digits add up to 19, which is not a multiple of 3.
What is special about the number 36037?
36037 is the 3829th prime number; a happy number: repeatedly adding the squares of its digits reaches 1.