The number 27729
27729 is a composite number with 16 divisors. Its prime factorisation is × 13 × 79. Divisors (16): 1, 3, 9, 13, 27, 39, 79, 117, 237, 351, 711, 1027, 2133, 3081, 9243, 27729.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 27729: a Harshad number: divisible by its digit sum 27.
- 2
27729 is composite. Its prime factorisation is
- 3
The divisors add up to 44800; without 27729 itself that is 17071, so 27729 is deficient (17071 is less than 27729). Euler's totient φ(27729) = 16848 numbers up to 27729 share no factor with it.
- 4
The digits of 27729 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 152 steps to reach 1.
LaTeX source of the formulas on this page
\[ 27729 = 3^{3} \times 13 \times 79 \]27729 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 44800 |
| Euler totient φ(n) | 16848 |
| Square | 768897441 |
| Cube | 21320757141489 |
| Square root | 166.520269 (= 3√3081) |
| Digit sum / digital root | 27 / 9 |
| Collatz steps to 1 | 152 |
| Scientific notation | 2.7729 × |
27729 in other forms
| Form | Value |
|---|---|
| In words | twenty-seven thousand seven hundred and twenty-nine |
| Binary (base 2) | 110110001010001 |
| Octal (base 8) | 66121 |
| Hexadecimal (base 16) | 6C51 |
| Base 3 | 1102001000 |
| As time | 27729 seconds = 7 h 42 min 9 s |
Is 27729 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 (27729 ÷ 3 = 9243) | 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 | No (remainder 2) | 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 (27729 ÷ 9 = 3081) | 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 | 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 27729 a prime number?
No. 27729 = × 13 × 79, so it is divisible by 3.
What are the factors of 27729?
1, 3, 9, 13, 27, 39, 79, 117, 237, 351, 711, 1027, 2133, 3081, 9243, 27729.
What is 27729 in binary?
110110001010001 (hexadecimal 6C51, octal 66121).
What is the square root of 27729?
About 166.5203, exactly 3√3081.
Is 27729 divisible by 3?
Yes. Its digits add up to 27, a multiple of 3.
What is special about the number 27729?
27729 is a Harshad number: divisible by its digit sum 27.