The number 27018
27018 is a composite number with 24 divisors. Its prime factorisation is 2 × × 19 × 79. Divisors (24): 1, 2, 3, 6, 9, 18, 19, 38, 57, 79, 114, 158, 171, 237, 342, 474 … 27018.
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How to work it out
- 1
What is special about 27018: a Harshad number: divisible by its digit sum 18.
- 2
27018 is composite. Its prime factorisation is
- 3
The divisors add up to 62400; without 27018 itself that is 35382, so 27018 is abundant (35382 is more than 27018). Euler's totient φ(27018) = 8424 numbers up to 27018 share no factor with it.
- 4
The digits of 27018 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
\[ 27018 = 2 \times 3^{2} \times 19 \times 79 \]27018 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 62400 |
| Euler totient φ(n) | 8424 |
| Square | 729972324 |
| Cube | 19722392249832 |
| Square root | 164.371530 (= 3√3002) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 38 |
| Scientific notation | 2.7018 × |
27018 in other forms
| Form | Value |
|---|---|
| In words | twenty-seven thousand and eighteen |
| Binary (base 2) | 110100110001010 |
| Octal (base 8) | 64612 |
| Hexadecimal (base 16) | 698A |
| Base 3 | 1101001200 |
| As time | 27018 seconds = 7 h 30 min 18 s |
Is 27018 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (27018 ÷ 2 = 13509) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (27018 ÷ 3 = 9006) | 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 (27018 ÷ 6 = 4503) | 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 2) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (27018 ÷ 9 = 3002) | 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 2) | 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 27018 a prime number?
No. 27018 = 2 × × 19 × 79, so it is divisible by 2.
What are the factors of 27018?
1, 2, 3, 6, 9, 18, 19, 38, 57, 79, 114, 158, 171, 237, 342, 474, 711, 1422, 1501, 3002, 4503, 9006, 13509, 27018.
What is 27018 in binary?
110100110001010 (hexadecimal 698A, octal 64612).
What is the square root of 27018?
About 164.3715, exactly 3√3002.
Is 27018 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 27018?
27018 is a Harshad number: divisible by its digit sum 18.