The number 27713
27713 is a composite number with 8 divisors. Its prime factorisation is 7 × 37 × 107. Divisors (8): 1, 7, 37, 107, 259, 749, 3959, 27713.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
27713 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
27713 is composite. Its prime factorisation is
- 3
The divisors add up to 32832; without 27713 itself that is 5119, so 27713 is deficient (5119 is less than 27713). Euler's totient φ(27713) = 22896 numbers up to 27713 share no factor with it.
- 4
The digits of 27713 add up to 20, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 152 steps to reach 1.
LaTeX source of the formulas on this page
\[ 27713 = 7 \times 37 \times 107 \]
27713 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 32832 |
| Euler totient φ(n) | 22896 |
| Square | 768010369 |
| Cube | 21283871356097 |
| Square root | 166.472220 |
| Digit sum / digital root | 20 / 2 |
| Collatz steps to 1 | 152 |
| Scientific notation | 2.7713 × |
27713 in other forms
| Form | Value |
|---|---|
| In words | twenty-seven thousand seven hundred and thirteen |
| Binary (base 2) | 110110001000001 |
| Octal (base 8) | 66101 |
| Hexadecimal (base 16) | 6C41 |
| Base 3 | 1102000102 |
| As time | 27713 seconds = 7 h 41 min 53 s |
Is 27713 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 2) | 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 5) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (27713 ÷ 7 = 3959) | 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 2) | 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 4) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 5) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 27713 a prime number?
No. 27713 = 7 × 37 × 107, so it is divisible by 7.
What are the factors of 27713?
1, 7, 37, 107, 259, 749, 3959, 27713.
What is 27713 in binary?
110110001000001 (hexadecimal 6C41, octal 66101).
What is the square root of 27713?
About 166.4722.
Is 27713 divisible by 3?
No. Its digits add up to 20, which is not a multiple of 3.
What is special about the number 27713?
It is a composite number with 8 divisors.