The number 36747
36747 is a composite number with 8 divisors. Its prime factorisation is × 1361. Divisors (8): 1, 3, 9, 27, 1361, 4083, 12249, 36747.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 36747: a Harshad number: divisible by its digit sum 27.
- 2
36747 is composite. Its prime factorisation is
- 3
The divisors add up to 54480; without 36747 itself that is 17733, so 36747 is deficient (17733 is less than 36747). Euler's totient φ(36747) = 24480 numbers up to 36747 share no factor with it.
- 4
The digits of 36747 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 186 steps to reach 1.
LaTeX source of the formulas on this page
\[ 36747 = 3^{3} \times 1361 \]36747 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 54480 |
| Euler totient φ(n) | 24480 |
| Square | 1350342009 |
| Cube | 49621017804723 |
| Square root | 191.695070 (= 3√4083) |
| Digit sum / digital root | 27 / 9 |
| Collatz steps to 1 | 186 |
| Scientific notation | 3.6747 × |
36747 in other forms
| Form | Value |
|---|---|
| In words | thirty-six thousand seven hundred and forty-seven |
| Binary (base 2) | 1000111110001011 |
| Octal (base 8) | 107613 |
| Hexadecimal (base 16) | 8F8B |
| Base 3 | 1212102000 |
| As time | 36747 seconds = 10 h 12 min 27 s |
Is 36747 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 (36747 ÷ 3 = 12249) | 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 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 3) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (36747 ÷ 9 = 4083) | 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 7) | 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 36747 a prime number?
No. 36747 = × 1361, so it is divisible by 3.
What are the factors of 36747?
1, 3, 9, 27, 1361, 4083, 12249, 36747.
What is 36747 in binary?
1000111110001011 (hexadecimal 8F8B, octal 107613).
What is the square root of 36747?
About 191.6951, exactly 3√4083.
Is 36747 divisible by 3?
Yes. Its digits add up to 27, a multiple of 3.
What is special about the number 36747?
36747 is a Harshad number: divisible by its digit sum 27.