The number 27054
27054 is a composite number with 20 divisors. Its prime factorisation is 2 × × 167. Divisors (20): 1, 2, 3, 6, 9, 18, 27, 54, 81, 162, 167, 334, 501, 1002, 1503, 3006 … 27054.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 27054: a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 18.
- 2
27054 is composite. Its prime factorisation is
- 3
The divisors add up to 60984; without 27054 itself that is 33930, so 27054 is abundant (33930 is more than 27054). Euler's totient φ(27054) = 8964 numbers up to 27054 share no factor with it.
- 4
The digits of 27054 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 38 steps to reach 1.
LaTeX source of the formulas on this page
\[ 27054 = 2 \times 3^{4} \times 167 \]27054 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 20 |
| Sum of divisors | 60984 |
| Euler totient φ(n) | 8964 |
| Square | 731918916 |
| Cube | 19801334353464 |
| Square root | 164.481002 (= 9√334) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 38 |
| Scientific notation | 2.7054 × |
27054 in other forms
| Form | Value |
|---|---|
| In words | twenty-seven thousand and fifty-four |
| Binary (base 2) | 110100110101110 |
| Octal (base 8) | 64656 |
| Hexadecimal (base 16) | 69AE |
| Base 3 | 1101010000 |
| As time | 27054 seconds = 7 h 30 min 54 s |
Is 27054 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (27054 ÷ 2 = 13527) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (27054 ÷ 3 = 9018) | 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 4) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (27054 ÷ 6 = 4509) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 6) | 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 | Yes (27054 ÷ 9 = 3006) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 4) | 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 | No (remainder 6) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 27054 a prime number?
No. 27054 = 2 × × 167, so it is divisible by 2.
What are the factors of 27054?
1, 2, 3, 6, 9, 18, 27, 54, 81, 162, 167, 334, 501, 1002, 1503, 3006, 4509, 9018, 13527, 27054.
What is 27054 in binary?
110100110101110 (hexadecimal 69AE, octal 64656).
What is the square root of 27054?
About 164.4810, exactly 9√334.
Is 27054 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 27054?
27054 is a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 18.