The number 36729
36729 is a composite number with 24 divisors. Its prime factorisation is × 7 × 11 × 53. Divisors (24): 1, 3, 7, 9, 11, 21, 33, 53, 63, 77, 99, 159, 231, 371, 477, 583 … 36729.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
36729 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
36729 is composite. Its prime factorisation is
- 3
The divisors add up to 67392; without 36729 itself that is 30663, so 36729 is deficient (30663 is less than 36729). Euler's totient φ(36729) = 18720 numbers up to 36729 share no factor with it.
- 4
The digits of 36729 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
\[ 36729 = 3^{2} \times 7 \times 11 \times 53 \]36729 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 67392 |
| Euler totient φ(n) | 18720 |
| Square | 1349019441 |
| Cube | 49548135048489 |
| Square root | 191.648115 (= 3√4081) |
| Digit sum / digital root | 27 / 9 |
| Collatz steps to 1 | 124 |
| Scientific notation | 3.6729 × |
36729 in other forms
| Form | Value |
|---|---|
| In words | thirty-six thousand seven hundred and twenty-nine |
| Binary (base 2) | 1000111101111001 |
| Octal (base 8) | 107571 |
| Hexadecimal (base 16) | 8F79 |
| Base 3 | 1212101100 |
| As time | 36729 seconds = 10 h 12 min 9 s |
Is 36729 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 (36729 ÷ 3 = 12243) | 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 4) | 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 | Yes (36729 ÷ 7 = 5247) | 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 1) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (36729 ÷ 9 = 4081) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 9) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (36729 ÷ 11 = 3339) | 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 36729 a prime number?
No. 36729 = × 7 × 11 × 53, so it is divisible by 3.
What are the factors of 36729?
1, 3, 7, 9, 11, 21, 33, 53, 63, 77, 99, 159, 231, 371, 477, 583, 693, 1113, 1749, 3339, 4081, 5247, 12243, 36729.
What is 36729 in binary?
1000111101111001 (hexadecimal 8F79, octal 107571).
What is the square root of 36729?
About 191.6481, exactly 3√4081.
Is 36729 divisible by 3?
Yes. Its digits add up to 27, a multiple of 3.
What is special about the number 36729?
It is a composite number with 24 divisors.