The number 27320
27320 is a composite number with 16 divisors. Its prime factorisation is × 5 × 683. Divisors (16): 1, 2, 4, 5, 8, 10, 20, 40, 683, 1366, 2732, 3415, 5464, 6830, 13660, 27320.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
27320 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
27320 is composite. Its prime factorisation is
- 3
The divisors add up to 61560; without 27320 itself that is 34240, so 27320 is abundant (34240 is more than 27320). Euler's totient φ(27320) = 10912 numbers up to 27320 share no factor with it.
- 4
The digits of 27320 add up to 14, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 152 steps to reach 1.
LaTeX source of the formulas on this page
\[ 27320 = 2^{3} \times 5 \times 683 \]27320 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 61560 |
| Euler totient φ(n) | 10912 |
| Square | 746382400 |
| Cube | 20391167168000 |
| Square root | 165.287628 (= 2√6830) |
| Digit sum / digital root | 14 / 5 |
| Collatz steps to 1 | 152 |
| Scientific notation | 2.732 × |
27320 in other forms
| Form | Value |
|---|---|
| In words | twenty-seven thousand three hundred and twenty |
| Binary (base 2) | 110101010111000 |
| Octal (base 8) | 65270 |
| Hexadecimal (base 16) | 6AB8 |
| Base 3 | 1101110212 |
| As time | 27320 seconds = 7 h 35 min 20 s |
Is 27320 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (27320 ÷ 2 = 13660) | 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 (27320 ÷ 4 = 6830) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (27320 ÷ 5 = 5464) | 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 | 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 | Yes (27320 ÷ 8 = 3415) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 5) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (27320 ÷ 10 = 2732) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 7) | 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 27320 a prime number?
No. 27320 = × 5 × 683, so it is divisible by 2.
What are the factors of 27320?
1, 2, 4, 5, 8, 10, 20, 40, 683, 1366, 2732, 3415, 5464, 6830, 13660, 27320.
What is 27320 in binary?
110101010111000 (hexadecimal 6AB8, octal 65270).
What is the square root of 27320?
About 165.2876, exactly 2√6830.
Is 27320 divisible by 3?
No. Its digits add up to 14, which is not a multiple of 3.
What is special about the number 27320?
It is a composite number with 16 divisors.