The number 27741
27741 is a composite number with 8 divisors. Its prime factorisation is 3 × 7 × 1321. Divisors (8): 1, 3, 7, 21, 1321, 3963, 9247, 27741.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 27741: a Harshad number: divisible by its digit sum 21.
- 2
27741 is composite. Its prime factorisation is
- 3
The divisors add up to 42304; without 27741 itself that is 14563, so 27741 is deficient (14563 is less than 27741). Euler's totient φ(27741) = 15840 numbers up to 27741 share no factor with it.
- 4
The digits of 27741 add up to 21, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 152 steps to reach 1.
LaTeX source of the formulas on this page
\[ 27741 = 3 \times 7 \times 1321 \]
27741 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 42304 |
| Euler totient φ(n) | 15840 |
| Square | 769563081 |
| Cube | 21348449430021 |
| Square root | 166.556297 |
| Digit sum / digital root | 21 / 3 |
| Collatz steps to 1 | 152 |
| Scientific notation | 2.7741 × |
27741 in other forms
| Form | Value |
|---|---|
| In words | twenty-seven thousand seven hundred and forty-one |
| Binary (base 2) | 110110001011101 |
| Octal (base 8) | 66135 |
| Hexadecimal (base 16) | 6C5D |
| Base 3 | 1102001110 |
| As time | 27741 seconds = 7 h 42 min 21 s |
Is 27741 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 (27741 ÷ 3 = 9247) | 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 1) | 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 | Yes (27741 ÷ 7 = 3963) | 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 5) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 3) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 1) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 10) | 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 27741 a prime number?
No. 27741 = 3 × 7 × 1321, so it is divisible by 3.
What are the factors of 27741?
1, 3, 7, 21, 1321, 3963, 9247, 27741.
What is 27741 in binary?
110110001011101 (hexadecimal 6C5D, octal 66135).
What is the square root of 27741?
About 166.5563.
Is 27741 divisible by 3?
Yes. Its digits add up to 21, a multiple of 3.
What is special about the number 27741?
27741 is a Harshad number: divisible by its digit sum 21.