The number 36837
36837 is a composite number with 6 divisors. Its prime factorisation is × 4093. Divisors (6): 1, 3, 9, 4093, 12279, 36837.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 36837: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
36837 is composite. Its prime factorisation is
- 3
The divisors add up to 53222; without 36837 itself that is 16385, so 36837 is deficient (16385 is less than 36837). Euler's totient φ(36837) = 24552 numbers up to 36837 share no factor with it.
- 4
The digits of 36837 add up to 27, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 124 steps to reach 1.
LaTeX source of the formulas on this page
\[ 36837 = 3^{2} \times 4093 \]36837 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 6 |
| Sum of divisors | 53222 |
| Euler totient φ(n) | 24552 |
| Square | 1356964569 |
| Cube | 49986503828253 |
| Square root | 191.929675 (= 3√4093) |
| Digit sum / digital root | 27 / 9 |
| Collatz steps to 1 | 124 |
| Scientific notation | 3.6837 × |
36837 in other forms
| Form | Value |
|---|---|
| In words | thirty-six thousand eight hundred and thirty-seven |
| Binary (base 2) | 1000111111100101 |
| Octal (base 8) | 107745 |
| Hexadecimal (base 16) | 8FE5 |
| Base 3 | 1212112100 |
| As time | 36837 seconds = 10 h 13 min 57 s |
Is 36837 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 | Yes (36837 ÷ 3 = 12279) | 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 3) | 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 5) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (36837 ÷ 9 = 4093) | 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 9) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 9) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 36837 a prime number?
No. 36837 = × 4093, so it is divisible by 3.
What are the factors of 36837?
1, 3, 9, 4093, 12279, 36837.
What is 36837 in binary?
1000111111100101 (hexadecimal 8FE5, octal 107745).
What is the square root of 36837?
About 191.9297, exactly 3√4093.
Is 36837 divisible by 3?
Yes. Its digits add up to 27, a multiple of 3.
What is special about the number 36837?
36837 is a happy number: repeatedly adding the squares of its digits reaches 1.