The number 27052
27052 is a composite number with 6 divisors. Its prime factorisation is × 6763. Divisors (6): 1, 2, 4, 6763, 13526, 27052.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 27052: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
27052 is composite. Its prime factorisation is
- 3
The divisors add up to 47348; without 27052 itself that is 20296, so 27052 is deficient (20296 is less than 27052). Euler's totient φ(27052) = 13524 numbers up to 27052 share no factor with it.
- 4
The digits of 27052 add up to 16, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 38 steps to reach 1.
LaTeX source of the formulas on this page
\[ 27052 = 2^{2} \times 6763 \]27052 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 6 |
| Sum of divisors | 47348 |
| Euler totient φ(n) | 13524 |
| Square | 731810704 |
| Cube | 19796943164608 |
| Square root | 164.474922 (= 2√6763) |
| Digit sum / digital root | 16 / 7 |
| Collatz steps to 1 | 38 |
| Scientific notation | 2.7052 × |
27052 in other forms
| Form | Value |
|---|---|
| In words | twenty-seven thousand and fifty-two |
| Binary (base 2) | 110100110101100 |
| Octal (base 8) | 64654 |
| Hexadecimal (base 16) | 69AC |
| Base 3 | 1101002221 |
| As time | 27052 seconds = 7 h 30 min 52 s |
Is 27052 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (27052 ÷ 2 = 13526) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 1) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (27052 ÷ 4 = 6763) | 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 4) | 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 4) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 7) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 2) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 3) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 27052 a prime number?
No. 27052 = × 6763, so it is divisible by 2.
What are the factors of 27052?
1, 2, 4, 6763, 13526, 27052.
What is 27052 in binary?
110100110101100 (hexadecimal 69AC, octal 64654).
What is the square root of 27052?
About 164.4749, exactly 2√6763.
Is 27052 divisible by 3?
No. Its digits add up to 16, which is not a multiple of 3.
What is special about the number 27052?
27052 is a happy number: repeatedly adding the squares of its digits reaches 1.