The number 27441
27441 is a composite number with 6 divisors. Its prime factorisation is × 3049. Divisors (6): 1, 3, 9, 3049, 9147, 27441.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 27441: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
27441 is composite. Its prime factorisation is
- 3
The divisors add up to 39650; without 27441 itself that is 12209, so 27441 is deficient (12209 is less than 27441). Euler's totient φ(27441) = 18288 numbers up to 27441 share no factor with it.
- 4
The digits of 27441 add up to 18, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 64 steps to reach 1.
LaTeX source of the formulas on this page
\[ 27441 = 3^{2} \times 3049 \]27441 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 6 |
| Sum of divisors | 39650 |
| Euler totient φ(n) | 18288 |
| Square | 753008481 |
| Cube | 20663305727121 |
| Square root | 165.653252 (= 3√3049) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 64 |
| Scientific notation | 2.7441 × |
27441 in other forms
| Form | Value |
|---|---|
| In words | twenty-seven thousand four hundred and forty-one |
| Binary (base 2) | 110101100110001 |
| Octal (base 8) | 65461 |
| Hexadecimal (base 16) | 6B31 |
| Base 3 | 1101122100 |
| As time | 27441 seconds = 7 h 37 min 21 s |
Is 27441 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 (27441 ÷ 3 = 9147) | 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 | No (remainder 1) | 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 | Yes (27441 ÷ 9 = 3049) | 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 7) | 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 27441 a prime number?
No. 27441 = × 3049, so it is divisible by 3.
What are the factors of 27441?
1, 3, 9, 3049, 9147, 27441.
What is 27441 in binary?
110101100110001 (hexadecimal 6B31, octal 65461).
What is the square root of 27441?
About 165.6533, exactly 3√3049.
Is 27441 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 27441?
27441 is a happy number: repeatedly adding the squares of its digits reaches 1.