The number 27117
27117 is a composite number with 12 divisors. Its prime factorisation is × 23 × 131. Divisors (12): 1, 3, 9, 23, 69, 131, 207, 393, 1179, 3013, 9039, 27117.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
27117 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
27117 is composite. Its prime factorisation is
- 3
The divisors add up to 41184; without 27117 itself that is 14067, so 27117 is deficient (14067 is less than 27117). Euler's totient φ(27117) = 17160 numbers up to 27117 share no factor with it.
- 4
The digits of 27117 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 90 steps to reach 1.
LaTeX source of the formulas on this page
\[ 27117 = 3^{2} \times 23 \times 131 \]27117 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 41184 |
| Euler totient φ(n) | 17160 |
| Square | 735331689 |
| Cube | 19939989410613 |
| Square root | 164.672402 (= 3√3013) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 90 |
| Scientific notation | 2.7117 × |
27117 in other forms
| Form | Value |
|---|---|
| In words | twenty-seven thousand one hundred and seventeen |
| Binary (base 2) | 110100111101101 |
| Octal (base 8) | 64755 |
| Hexadecimal (base 16) | 69ED |
| Base 3 | 1101012100 |
| As time | 27117 seconds = 7 h 31 min 57 s |
Is 27117 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | No (remainder 1) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (27117 ÷ 3 = 9039) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 1) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 2) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 3) | 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 5) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (27117 ÷ 9 = 3013) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 7) | 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 9) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 27117 a prime number?
No. 27117 = × 23 × 131, so it is divisible by 3.
What are the factors of 27117?
1, 3, 9, 23, 69, 131, 207, 393, 1179, 3013, 9039, 27117.
What is 27117 in binary?
110100111101101 (hexadecimal 69ED, octal 64755).
What is the square root of 27117?
About 164.6724, exactly 3√3013.
Is 27117 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 27117?
It is a composite number with 12 divisors.