The number 27746
27746 is a composite number with 4 divisors. Its prime factorisation is 2 × 13873. Divisors (4): 1, 2, 13873, 27746.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 27746: a semiprime: 2 × 13873, the product of two primes.
- 2
27746 is composite. Its prime factorisation is
- 3
The divisors add up to 41622; without 27746 itself that is 13876, so 27746 is deficient (13876 is less than 27746). Euler's totient φ(27746) = 13872 numbers up to 27746 share no factor with it.
- 4
The digits of 27746 add up to 26, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 183 steps to reach 1.
LaTeX source of the formulas on this page
\[ 27746 = 2 \times 13873 \]
27746 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 41622 |
| Euler totient φ(n) | 13872 |
| Square | 769840516 |
| Cube | 21359994956936 |
| Square root | 166.571306 |
| Digit sum / digital root | 26 / 8 |
| Collatz steps to 1 | 183 |
| Scientific notation | 2.7746 × |
27746 in other forms
| Form | Value |
|---|---|
| In words | twenty-seven thousand seven hundred and forty-six |
| Binary (base 2) | 110110001100010 |
| Octal (base 8) | 66142 |
| Hexadecimal (base 16) | 6C62 |
| Base 3 | 1102001122 |
| As time | 27746 seconds = 7 h 42 min 26 s |
Is 27746 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (27746 ÷ 2 = 13873) | 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 2) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 1) | 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 5) | 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 2) | 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 | No (remainder 6) | 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 2) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 27746 a prime number?
No. 27746 = 2 × 13873, so it is divisible by 2.
What are the factors of 27746?
1, 2, 13873, 27746.
What is 27746 in binary?
110110001100010 (hexadecimal 6C62, octal 66142).
What is the square root of 27746?
About 166.5713.
Is 27746 divisible by 3?
No. Its digits add up to 26, which is not a multiple of 3.
What is special about the number 27746?
27746 is a semiprime: 2 × 13873, the product of two primes.