The number 27393
27393 is a composite number with 8 divisors. Its prime factorisation is 3 × 23 × 397. Divisors (8): 1, 3, 23, 69, 397, 1191, 9131, 27393.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
27393 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
27393 is composite. Its prime factorisation is
- 3
The divisors add up to 38208; without 27393 itself that is 10815, so 27393 is deficient (10815 is less than 27393). Euler's totient φ(27393) = 17424 numbers up to 27393 share no factor with it.
- 4
The digits of 27393 add up to 24, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 152 steps to reach 1.
LaTeX source of the formulas on this page
\[ 27393 = 3 \times 23 \times 397 \]
27393 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 38208 |
| Euler totient φ(n) | 17424 |
| Square | 750376449 |
| Cube | 20555062067457 |
| Square root | 165.508308 |
| Digit sum / digital root | 24 / 6 |
| Collatz steps to 1 | 152 |
| Scientific notation | 2.7393 × |
27393 in other forms
| Form | Value |
|---|---|
| In words | twenty-seven thousand three hundred and ninety-three |
| Binary (base 2) | 110101100000001 |
| Octal (base 8) | 65401 |
| Hexadecimal (base 16) | 6B01 |
| Base 3 | 1101120120 |
| As time | 27393 seconds = 7 h 36 min 33 s |
Is 27393 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 (27393 ÷ 3 = 9131) | 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 3) | 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 2) | 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 1) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 6) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 3) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 3) | 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 27393 a prime number?
No. 27393 = 3 × 23 × 397, so it is divisible by 3.
What are the factors of 27393?
1, 3, 23, 69, 397, 1191, 9131, 27393.
What is 27393 in binary?
110101100000001 (hexadecimal 6B01, octal 65401).
What is the square root of 27393?
About 165.5083.
Is 27393 divisible by 3?
Yes. Its digits add up to 24, a multiple of 3.
What is special about the number 27393?
It is a composite number with 8 divisors.