The number 27378
27378 is a composite number with 30 divisors. Its prime factorisation is 2 × × . Divisors (30): 1, 2, 3, 6, 9, 13, 18, 26, 27, 39, 54, 78, 81, 117, 162, 169 … 27378.
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How to work it out
- 1
What is special about 27378: a Harshad number: divisible by its digit sum 27.
- 2
27378 is composite. Its prime factorisation is
- 3
The divisors add up to 66429; without 27378 itself that is 39051, so 27378 is abundant (39051 is more than 27378). Euler's totient φ(27378) = 8424 numbers up to 27378 share no factor with it.
- 4
The digits of 27378 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
\[ 27378 = 2 \times 3^{4} \times 13^{2} \]27378 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 30 |
| Sum of divisors | 66429 |
| Euler totient φ(n) | 8424 |
| Square | 749554884 |
| Cube | 20521313614152 |
| Square root | 165.462987 (= 117√2) |
| Digit sum / digital root | 27 / 9 |
| Collatz steps to 1 | 152 |
| Scientific notation | 2.7378 × |
27378 in other forms
| Form | Value |
|---|---|
| In words | twenty-seven thousand three hundred and seventy-eight |
| Binary (base 2) | 110101011110010 |
| Octal (base 8) | 65362 |
| Hexadecimal (base 16) | 6AF2 |
| Base 3 | 1101120000 |
| As time | 27378 seconds = 7 h 36 min 18 s |
Is 27378 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (27378 ÷ 2 = 13689) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (27378 ÷ 3 = 9126) | 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 (27378 ÷ 6 = 4563) | 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 2) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (27378 ÷ 9 = 3042) | 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 10) | 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 27378 a prime number?
No. 27378 = 2 × × , so it is divisible by 2.
What are the factors of 27378?
1, 2, 3, 6, 9, 13, 18, 26, 27, 39, 54, 78, 81, 117, 162, 169, 234, 338, 351, 507, 702, 1014, 1053, 1521, 2106, 3042, 4563, 9126, 13689, 27378.
What is 27378 in binary?
110101011110010 (hexadecimal 6AF2, octal 65362).
What is the square root of 27378?
About 165.4630, exactly 117√2.
Is 27378 divisible by 3?
Yes. Its digits add up to 27, a multiple of 3.
What is special about the number 27378?
27378 is a Harshad number: divisible by its digit sum 27.