The number 36387
36387 is a composite number with 12 divisors. Its prime factorisation is × 13 × 311. Divisors (12): 1, 3, 9, 13, 39, 117, 311, 933, 2799, 4043, 12129, 36387.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 36387: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
36387 is composite. Its prime factorisation is
- 3
The divisors add up to 56784; without 36387 itself that is 20397, so 36387 is deficient (20397 is less than 36387). Euler's totient φ(36387) = 22320 numbers up to 36387 share no factor with it.
- 4
The digits of 36387 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 142 steps to reach 1.
LaTeX source of the formulas on this page
\[ 36387 = 3^{2} \times 13 \times 311 \]36387 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 56784 |
| Euler totient φ(n) | 22320 |
| Square | 1324013769 |
| Cube | 48176889012603 |
| Square root | 190.753768 (= 3√4043) |
| Digit sum / digital root | 27 / 9 |
| Collatz steps to 1 | 142 |
| Scientific notation | 3.6387 × |
36387 in other forms
| Form | Value |
|---|---|
| In words | thirty-six thousand three hundred and eighty-seven |
| Binary (base 2) | 1000111000100011 |
| Octal (base 8) | 107043 |
| Hexadecimal (base 16) | 8E23 |
| Base 3 | 1211220200 |
| As time | 36387 seconds = 10 h 6 min 27 s |
Is 36387 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 (36387 ÷ 3 = 12129) | 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 3) | 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 3) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (36387 ÷ 9 = 4043) | 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 10) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 3) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 36387 a prime number?
No. 36387 = × 13 × 311, so it is divisible by 3.
What are the factors of 36387?
1, 3, 9, 13, 39, 117, 311, 933, 2799, 4043, 12129, 36387.
What is 36387 in binary?
1000111000100011 (hexadecimal 8E23, octal 107043).
What is the square root of 36387?
About 190.7538, exactly 3√4043.
Is 36387 divisible by 3?
Yes. Its digits add up to 27, a multiple of 3.
What is special about the number 36387?
36387 is a happy number: repeatedly adding the squares of its digits reaches 1.