The number 27148
27148 is a composite number with 12 divisors. Its prime factorisation is × 11 × 617. Divisors (12): 1, 2, 4, 11, 22, 44, 617, 1234, 2468, 6787, 13574, 27148.
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How to work it out
- 1
What is special about 27148: a Harshad number: divisible by its digit sum 22.
- 2
27148 is composite. Its prime factorisation is
- 3
The divisors add up to 51912; without 27148 itself that is 24764, so 27148 is deficient (24764 is less than 27148). Euler's totient φ(27148) = 12320 numbers up to 27148 share no factor with it.
- 4
The digits of 27148 add up to 22, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 46 steps to reach 1.
LaTeX source of the formulas on this page
\[ 27148 = 2^{2} \times 11 \times 617 \]27148 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 51912 |
| Euler totient φ(n) | 12320 |
| Square | 737013904 |
| Cube | 20008453465792 |
| Square root | 164.766501 (= 2√6787) |
| Digit sum / digital root | 22 / 4 |
| Collatz steps to 1 | 46 |
| Scientific notation | 2.7148 × |
27148 in other forms
| Form | Value |
|---|---|
| In words | twenty-seven thousand one hundred and forty-eight |
| Binary (base 2) | 110101000001100 |
| Octal (base 8) | 65014 |
| Hexadecimal (base 16) | 6A0C |
| Base 3 | 1101020111 |
| As time | 27148 seconds = 7 h 32 min 28 s |
Is 27148 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (27148 ÷ 2 = 13574) | 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 (27148 ÷ 4 = 6787) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 3) | 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 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 4) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 4) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 8) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (27148 ÷ 11 = 2468) | 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 27148 a prime number?
No. 27148 = × 11 × 617, so it is divisible by 2.
What are the factors of 27148?
1, 2, 4, 11, 22, 44, 617, 1234, 2468, 6787, 13574, 27148.
What is 27148 in binary?
110101000001100 (hexadecimal 6A0C, octal 65014).
What is the square root of 27148?
About 164.7665, exactly 2√6787.
Is 27148 divisible by 3?
No. Its digits add up to 22, which is not a multiple of 3.
What is special about the number 27148?
27148 is a Harshad number: divisible by its digit sum 22.