The number 27468
27468 is a composite number with 36 divisors. Its prime factorisation is × × 7 × 109. Divisors (36): 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 84 … 27468.
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How to work it out
- 1
27468 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
27468 is composite. Its prime factorisation is
- 3
The divisors add up to 80080; without 27468 itself that is 52612, so 27468 is abundant (52612 is more than 27468). Euler's totient φ(27468) = 7776 numbers up to 27468 share no factor with it.
- 4
The digits of 27468 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 152 steps to reach 1.
LaTeX source of the formulas on this page
\[ 27468 = 2^{2} \times 3^{2} \times 7 \times 109 \]27468 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 36 |
| Sum of divisors | 80080 |
| Euler totient φ(n) | 7776 |
| Square | 754491024 |
| Cube | 20724359447232 |
| Square root | 165.734728 (= 6√763) |
| Digit sum / digital root | 27 / 9 |
| Collatz steps to 1 | 152 |
| Scientific notation | 2.7468 × |
27468 in other forms
| Form | Value |
|---|---|
| In words | twenty-seven thousand four hundred and sixty-eight |
| Binary (base 2) | 110101101001100 |
| Octal (base 8) | 65514 |
| Hexadecimal (base 16) | 6B4C |
| Base 3 | 1101200100 |
| As time | 27468 seconds = 7 h 37 min 48 s |
Is 27468 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (27468 ÷ 2 = 13734) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (27468 ÷ 3 = 9156) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (27468 ÷ 4 = 6867) | 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 (27468 ÷ 6 = 4578) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (27468 ÷ 7 = 3924) | 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 | Yes (27468 ÷ 9 = 3052) | 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 1) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (27468 ÷ 12 = 2289) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 27468 a prime number?
No. 27468 = × × 7 × 109, so it is divisible by 2.
What are the factors of 27468?
1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 84, 109, 126, 218, 252, 327, 436, 654, 763, 981, 1308, 1526, 1962, 2289, 3052, 3924, 4578, 6867, 9156, 13734, 27468.
What is 27468 in binary?
110101101001100 (hexadecimal 6B4C, octal 65514).
What is the square root of 27468?
About 165.7347, exactly 6√763.
Is 27468 divisible by 3?
Yes. Its digits add up to 27, a multiple of 3.
What is special about the number 27468?
It is a composite number with 36 divisors.