The number 27918
27918 is a composite number with 32 divisors. Its prime factorisation is 2 × × 11 × 47. Divisors (32): 1, 2, 3, 6, 9, 11, 18, 22, 27, 33, 47, 54, 66, 94, 99, 141 … 27918.
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How to work it out
- 1
What is special about 27918: a Harshad number: divisible by its digit sum 27.
- 2
27918 is composite. Its prime factorisation is
- 3
The divisors add up to 69120; without 27918 itself that is 41202, so 27918 is abundant (41202 is more than 27918). Euler's totient φ(27918) = 8280 numbers up to 27918 share no factor with it.
- 4
The digits of 27918 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 108 steps to reach 1.
LaTeX source of the formulas on this page
\[ 27918 = 2 \times 3^{3} \times 11 \times 47 \]27918 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 32 |
| Sum of divisors | 69120 |
| Euler totient φ(n) | 8280 |
| Square | 779414724 |
| Cube | 21759700264632 |
| Square root | 167.086804 (= 3√3102) |
| Digit sum / digital root | 27 / 9 |
| Collatz steps to 1 | 108 |
| Scientific notation | 2.7918 × |
27918 in other forms
| Form | Value |
|---|---|
| In words | twenty-seven thousand nine hundred and eighteen |
| Binary (base 2) | 110110100001110 |
| Octal (base 8) | 66416 |
| Hexadecimal (base 16) | 6D0E |
| Base 3 | 1102022000 |
| As time | 27918 seconds = 7 h 45 min 18 s |
Is 27918 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (27918 ÷ 2 = 13959) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (27918 ÷ 3 = 9306) | 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 (27918 ÷ 6 = 4653) | 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 6) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (27918 ÷ 9 = 3102) | 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 (27918 ÷ 11 = 2538) | 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 27918 a prime number?
No. 27918 = 2 × × 11 × 47, so it is divisible by 2.
What are the factors of 27918?
1, 2, 3, 6, 9, 11, 18, 22, 27, 33, 47, 54, 66, 94, 99, 141, 198, 282, 297, 423, 517, 594, 846, 1034, 1269, 1551, 2538, 3102, 4653, 9306, 13959, 27918.
What is 27918 in binary?
110110100001110 (hexadecimal 6D0E, octal 66416).
What is the square root of 27918?
About 167.0868, exactly 3√3102.
Is 27918 divisible by 3?
Yes. Its digits add up to 27, a multiple of 3.
What is special about the number 27918?
27918 is a Harshad number: divisible by its digit sum 27.