The number 27660
27660 is a composite number with 24 divisors. Its prime factorisation is × 3 × 5 × 461. Divisors (24): 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 461, 922, 1383, 1844 … 27660.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
27660 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
27660 is composite. Its prime factorisation is
- 3
The divisors add up to 77616; without 27660 itself that is 49956, so 27660 is abundant (49956 is more than 27660). Euler's totient φ(27660) = 7360 numbers up to 27660 share no factor with it.
- 4
The digits of 27660 add up to 21, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 46 steps to reach 1.
LaTeX source of the formulas on this page
\[ 27660 = 2^{2} \times 3 \times 5 \times 461 \]27660 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 77616 |
| Euler totient φ(n) | 7360 |
| Square | 765075600 |
| Cube | 21161991096000 |
| Square root | 166.312958 (= 2√6915) |
| Digit sum / digital root | 21 / 3 |
| Collatz steps to 1 | 46 |
| Scientific notation | 2.766 × |
27660 in other forms
| Form | Value |
|---|---|
| In words | twenty-seven thousand six hundred and sixty |
| Binary (base 2) | 110110000001100 |
| Octal (base 8) | 66014 |
| Hexadecimal (base 16) | 6C0C |
| Base 3 | 1101221110 |
| As time | 27660 seconds = 7 h 41 min 0 s |
Is 27660 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (27660 ÷ 2 = 13830) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (27660 ÷ 3 = 9220) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (27660 ÷ 4 = 6915) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (27660 ÷ 5 = 5532) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (27660 ÷ 6 = 4610) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 3) | 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 4) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 3) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (27660 ÷ 10 = 2766) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 6) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (27660 ÷ 12 = 2305) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 27660 a prime number?
No. 27660 = × 3 × 5 × 461, so it is divisible by 2.
What are the factors of 27660?
1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 461, 922, 1383, 1844, 2305, 2766, 4610, 5532, 6915, 9220, 13830, 27660.
What is 27660 in binary?
110110000001100 (hexadecimal 6C0C, octal 66014).
What is the square root of 27660?
About 166.3130, exactly 2√6915.
Is 27660 divisible by 3?
Yes. Its digits add up to 21, a multiple of 3.
What is special about the number 27660?
It is a composite number with 24 divisors.