The number 55341
55341 is a composite number with 24 divisors. Its prime factorisation is × 11 × 13 × 43. Divisors (24): 1, 3, 9, 11, 13, 33, 39, 43, 99, 117, 129, 143, 387, 429, 473, 559 … 55341.
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How to work it out
- 1
55341 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
55341 is composite. Its prime factorisation is
- 3
The divisors add up to 96096; without 55341 itself that is 40755, so 55341 is deficient (40755 is less than 55341). Euler's totient φ(55341) = 30240 numbers up to 55341 share no factor with it.
- 4
The digits of 55341 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 47 steps to reach 1.
LaTeX source of the formulas on this page
\[ 55341 = 3^{2} \times 11 \times 13 \times 43 \]55341 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 96096 |
| Euler totient φ(n) | 30240 |
| Square | 3062626281 |
| Cube | 169488801016821 |
| Square root | 235.246679 (= 3√6149) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 47 |
| Scientific notation | 5.5341 × |
55341 in other forms
| Form | Value |
|---|---|
| In words | fifty-five thousand three hundred and forty-one |
| Binary (base 2) | 1101100000101101 |
| Octal (base 8) | 154055 |
| Hexadecimal (base 16) | D82D |
| Base 3 | 2210220200 |
| As time | 55341 seconds = 15 h 22 min 21 s |
Is 55341 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 (55341 ÷ 3 = 18447) | 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 6) | 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 (55341 ÷ 9 = 6149) | 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 | Yes (55341 ÷ 11 = 5031) | 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 55341 a prime number?
No. 55341 = × 11 × 13 × 43, so it is divisible by 3.
What are the factors of 55341?
1, 3, 9, 11, 13, 33, 39, 43, 99, 117, 129, 143, 387, 429, 473, 559, 1287, 1419, 1677, 4257, 5031, 6149, 18447, 55341.
What is 55341 in binary?
1101100000101101 (hexadecimal D82D, octal 154055).
What is the square root of 55341?
About 235.2467, exactly 3√6149.
Is 55341 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 55341?
It is a composite number with 24 divisors.