The number 27438
27438 is a composite number with 16 divisors. Its prime factorisation is 2 × 3 × 17 × 269. Divisors (16): 1, 2, 3, 6, 17, 34, 51, 102, 269, 538, 807, 1614, 4573, 9146, 13719, 27438.
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How to work it out
- 1
27438 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
27438 is composite. Its prime factorisation is
- 3
The divisors add up to 58320; without 27438 itself that is 30882, so 27438 is abundant (30882 is more than 27438). Euler's totient φ(27438) = 8576 numbers up to 27438 share no factor with it.
- 4
The digits of 27438 add up to 24, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 64 steps to reach 1.
LaTeX source of the formulas on this page
\[ 27438 = 2 \times 3 \times 17 \times 269 \]
27438 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 58320 |
| Euler totient φ(n) | 8576 |
| Square | 752843844 |
| Cube | 20656529391672 |
| Square root | 165.644197 |
| Digit sum / digital root | 24 / 6 |
| Collatz steps to 1 | 64 |
| Scientific notation | 2.7438 × |
27438 in other forms
| Form | Value |
|---|---|
| In words | twenty-seven thousand four hundred and thirty-eight |
| Binary (base 2) | 110101100101110 |
| Octal (base 8) | 65456 |
| Hexadecimal (base 16) | 6B2E |
| Base 3 | 1101122020 |
| As time | 27438 seconds = 7 h 37 min 18 s |
Is 27438 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (27438 ÷ 2 = 13719) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (27438 ÷ 3 = 9146) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 2) | 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 | Yes (27438 ÷ 6 = 4573) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 5) | 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 6) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 6) | 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 | No (remainder 4) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 6) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 27438 a prime number?
No. 27438 = 2 × 3 × 17 × 269, so it is divisible by 2.
What are the factors of 27438?
1, 2, 3, 6, 17, 34, 51, 102, 269, 538, 807, 1614, 4573, 9146, 13719, 27438.
What is 27438 in binary?
110101100101110 (hexadecimal 6B2E, octal 65456).
What is the square root of 27438?
About 165.6442.
Is 27438 divisible by 3?
Yes. Its digits add up to 24, a multiple of 3.
What is special about the number 27438?
It is a composite number with 16 divisors.