The number 27440
27440 is a composite number with 40 divisors. Its prime factorisation is × 5 × . Divisors (40): 1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 35, 40, 49, 56, 70 … 27440.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
27440 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
27440 is composite. Its prime factorisation is
- 3
The divisors add up to 74400; without 27440 itself that is 46960, so 27440 is abundant (46960 is more than 27440). Euler's totient φ(27440) = 9408 numbers up to 27440 share no factor with it.
- 4
The digits of 27440 add up to 17, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 33 steps to reach 1.
LaTeX source of the formulas on this page
\[ 27440 = 2^{4} \times 5 \times 7^{3} \]27440 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 40 |
| Sum of divisors | 74400 |
| Euler totient φ(n) | 9408 |
| Square | 752953600 |
| Cube | 20661046784000 |
| Square root | 165.650234 (= 28√35) |
| Digit sum / digital root | 17 / 8 |
| Collatz steps to 1 | 33 |
| Scientific notation | 2.744 × |
27440 in other forms
| Form | Value |
|---|---|
| In words | twenty-seven thousand four hundred and forty |
| Binary (base 2) | 110101100110000 |
| Octal (base 8) | 65460 |
| Hexadecimal (base 16) | 6B30 |
| Base 3 | 1101122022 |
| As time | 27440 seconds = 7 h 37 min 20 s |
Is 27440 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (27440 ÷ 2 = 13720) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 2) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (27440 ÷ 4 = 6860) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (27440 ÷ 5 = 5488) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 2) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (27440 ÷ 7 = 3920) | 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 | Yes (27440 ÷ 8 = 3430) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 8) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (27440 ÷ 10 = 2744) | 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 | No (remainder 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 27440 a prime number?
No. 27440 = × 5 × , so it is divisible by 2.
What are the factors of 27440?
1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 35, 40, 49, 56, 70, 80, 98, 112, 140, 196, 245, 280, 343, 392, 490, 560, 686, 784, 980, 1372, 1715, 1960, 2744, 3430, 3920, 5488, 6860, 13720, 27440.
What is 27440 in binary?
110101100110000 (hexadecimal 6B30, octal 65460).
What is the square root of 27440?
About 165.6502, exactly 28√35.
Is 27440 divisible by 3?
No. Its digits add up to 17, which is not a multiple of 3.
What is special about the number 27440?
It is a composite number with 40 divisors.