The number 27252
27252 is a composite number with 18 divisors. Its prime factorisation is × × 757. Divisors (18): 1, 2, 3, 4, 6, 9, 12, 18, 36, 757, 1514, 2271, 3028, 4542, 6813, 9084 … 27252.
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How to work it out
- 1
What is special about 27252: a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 18.
- 2
27252 is composite. Its prime factorisation is
- 3
The divisors add up to 68978; without 27252 itself that is 41726, so 27252 is abundant (41726 is more than 27252). Euler's totient φ(27252) = 9072 numbers up to 27252 share no factor with it.
- 4
The digits of 27252 add up to 18, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 64 steps to reach 1.
LaTeX source of the formulas on this page
\[ 27252 = 2^{2} \times 3^{2} \times 757 \]27252 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 18 |
| Sum of divisors | 68978 |
| Euler totient φ(n) | 9072 |
| Square | 742671504 |
| Cube | 20239283827008 |
| Square root | 165.081798 (= 6√757) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 64 |
| Scientific notation | 2.7252 × |
27252 in other forms
| Form | Value |
|---|---|
| In words | twenty-seven thousand two hundred and fifty-two |
| Binary (base 2) | 110101001110100 |
| Octal (base 8) | 65164 |
| Hexadecimal (base 16) | 6A74 |
| Base 3 | 1101101100 |
| As time | 27252 seconds = 7 h 34 min 12 s |
Is 27252 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (27252 ÷ 2 = 13626) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (27252 ÷ 3 = 9084) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (27252 ÷ 4 = 6813) | 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 | Yes (27252 ÷ 6 = 4542) | 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 4) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (27252 ÷ 9 = 3028) | 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 5) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (27252 ÷ 12 = 2271) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 27252 a prime number?
No. 27252 = × × 757, so it is divisible by 2.
What are the factors of 27252?
1, 2, 3, 4, 6, 9, 12, 18, 36, 757, 1514, 2271, 3028, 4542, 6813, 9084, 13626, 27252.
What is 27252 in binary?
110101001110100 (hexadecimal 6A74, octal 65164).
What is the square root of 27252?
About 165.0818, exactly 6√757.
Is 27252 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 27252?
27252 is a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 18.