The number 28341
28341 is a composite number with 12 divisors. Its prime factorisation is × 47 × 67. Divisors (12): 1, 3, 9, 47, 67, 141, 201, 423, 603, 3149, 9447, 28341.
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How to work it out
- 1
What is special about 28341: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
28341 is composite. Its prime factorisation is
- 3
The divisors add up to 42432; without 28341 itself that is 14091, so 28341 is deficient (14091 is less than 28341). Euler's totient φ(28341) = 18216 numbers up to 28341 share no factor with it.
- 4
The digits of 28341 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 59 steps to reach 1.
LaTeX source of the formulas on this page
\[ 28341 = 3^{2} \times 47 \times 67 \]28341 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 42432 |
| Euler totient φ(n) | 18216 |
| Square | 803212281 |
| Cube | 22763839255821 |
| Square root | 168.347854 (= 3√3149) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 59 |
| Scientific notation | 2.8341 × |
28341 in other forms
| Form | Value |
|---|---|
| In words | twenty-eight thousand three hundred and forty-one |
| Binary (base 2) | 110111010110101 |
| Octal (base 8) | 67265 |
| Hexadecimal (base 16) | 6EB5 |
| Base 3 | 1102212200 |
| As time | 28341 seconds = 7 h 52 min 21 s |
Is 28341 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 (28341 ÷ 3 = 9447) | 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 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 5) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (28341 ÷ 9 = 3149) | 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 5) | 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 28341 a prime number?
No. 28341 = × 47 × 67, so it is divisible by 3.
What are the factors of 28341?
1, 3, 9, 47, 67, 141, 201, 423, 603, 3149, 9447, 28341.
What is 28341 in binary?
110111010110101 (hexadecimal 6EB5, octal 67265).
What is the square root of 28341?
About 168.3479, exactly 3√3149.
Is 28341 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 28341?
28341 is a happy number: repeatedly adding the squares of its digits reaches 1.