The number 27313
27313 is a composite number with 8 divisors. Its prime factorisation is 11 × 13 × 191. Divisors (8): 1, 11, 13, 143, 191, 2101, 2483, 27313.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
27313 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
27313 is composite. Its prime factorisation is
- 3
The divisors add up to 32256; without 27313 itself that is 4943, so 27313 is deficient (4943 is less than 27313). Euler's totient φ(27313) = 22800 numbers up to 27313 share no factor with it.
- 4
The digits of 27313 add up to 16, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 46 steps to reach 1.
LaTeX source of the formulas on this page
\[ 27313 = 11 \times 13 \times 191 \]
27313 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 32256 |
| Euler totient φ(n) | 22800 |
| Square | 745999969 |
| Cube | 20375497153297 |
| Square root | 165.266452 |
| Digit sum / digital root | 16 / 7 |
| Collatz steps to 1 | 46 |
| Scientific notation | 2.7313 × |
27313 in other forms
| Form | Value |
|---|---|
| In words | twenty-seven thousand three hundred and thirteen |
| Binary (base 2) | 110101010110001 |
| Octal (base 8) | 65261 |
| Hexadecimal (base 16) | 6AB1 |
| Base 3 | 1101110121 |
| As time | 27313 seconds = 7 h 35 min 13 s |
Is 27313 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 | No (remainder 1) | 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 1) | 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 | No (remainder 1) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 7) | 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 | Yes (27313 ÷ 11 = 2483) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 1) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 27313 a prime number?
No. 27313 = 11 × 13 × 191, so it is divisible by 11.
What are the factors of 27313?
1, 11, 13, 143, 191, 2101, 2483, 27313.
What is 27313 in binary?
110101010110001 (hexadecimal 6AB1, octal 65261).
What is the square root of 27313?
About 165.2665.
Is 27313 divisible by 3?
No. Its digits add up to 16, which is not a multiple of 3.
What is special about the number 27313?
It is a composite number with 8 divisors.