The number 27344
27344 is a composite number with 10 divisors. Its prime factorisation is × 1709. Divisors (10): 1, 2, 4, 8, 16, 1709, 3418, 6836, 13672, 27344.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 27344: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
27344 is composite. Its prime factorisation is
- 3
The divisors add up to 53010; without 27344 itself that is 25666, so 27344 is deficient (25666 is less than 27344). Euler's totient φ(27344) = 13664 numbers up to 27344 share no factor with it.
- 4
The digits of 27344 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 59 steps to reach 1.
LaTeX source of the formulas on this page
\[ 27344 = 2^{4} \times 1709 \]27344 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 10 |
| Sum of divisors | 53010 |
| Euler totient φ(n) | 13664 |
| Square | 747694336 |
| Cube | 20444953923584 |
| Square root | 165.360213 (= 4√1709) |
| Digit sum / digital root | 20 / 2 |
| Collatz steps to 1 | 59 |
| Scientific notation | 2.7344 × |
27344 in other forms
| Form | Value |
|---|---|
| In words | twenty-seven thousand three hundred and forty-four |
| Binary (base 2) | 110101011010000 |
| Octal (base 8) | 65320 |
| Hexadecimal (base 16) | 6AD0 |
| Base 3 | 1101111202 |
| As time | 27344 seconds = 7 h 35 min 44 s |
Is 27344 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (27344 ÷ 2 = 13672) | 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 | Yes (27344 ÷ 4 = 6836) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 4) | 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 2) | 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 | Yes (27344 ÷ 8 = 3418) | 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 4) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 9) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 27344 a prime number?
No. 27344 = × 1709, so it is divisible by 2.
What are the factors of 27344?
1, 2, 4, 8, 16, 1709, 3418, 6836, 13672, 27344.
What is 27344 in binary?
110101011010000 (hexadecimal 6AD0, octal 65320).
What is the square root of 27344?
About 165.3602, exactly 4√1709.
Is 27344 divisible by 3?
No. Its digits add up to 20, which is not a multiple of 3.
What is special about the number 27344?
27344 is a happy number: repeatedly adding the squares of its digits reaches 1.