The number 55845
55845 is a composite number with 24 divisors. Its prime factorisation is × 5 × 17 × 73. Divisors (24): 1, 3, 5, 9, 15, 17, 45, 51, 73, 85, 153, 219, 255, 365, 657, 765 … 55845.
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How to work it out
- 1
55845 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
55845 is composite. Its prime factorisation is
- 3
The divisors add up to 103896; without 55845 itself that is 48051, so 55845 is deficient (48051 is less than 55845). Euler's totient φ(55845) = 27648 numbers up to 55845 share no factor with it.
- 4
The digits of 55845 add up to 27, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 91 steps to reach 1.
LaTeX source of the formulas on this page
\[ 55845 = 3^{2} \times 5 \times 17 \times 73 \]55845 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 103896 |
| Euler totient φ(n) | 27648 |
| Square | 3118664025 |
| Cube | 174161792476125 |
| Square root | 236.315467 (= 3√6205) |
| Digit sum / digital root | 27 / 9 |
| Collatz steps to 1 | 91 |
| Scientific notation | 5.5845 × |
55845 in other forms
| Form | Value |
|---|---|
| In words | fifty-five thousand eight hundred and forty-five |
| Binary (base 2) | 1101101000100101 |
| Octal (base 8) | 155045 |
| Hexadecimal (base 16) | DA25 |
| Base 3 | 2211121100 |
| As time | 55845 seconds = 15 h 30 min 45 s |
Is 55845 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 (55845 ÷ 3 = 18615) | 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 | Yes (55845 ÷ 5 = 11169) | 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 (55845 ÷ 9 = 6205) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 5) | 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 9) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 55845 a prime number?
No. 55845 = × 5 × 17 × 73, so it is divisible by 3.
What are the factors of 55845?
1, 3, 5, 9, 15, 17, 45, 51, 73, 85, 153, 219, 255, 365, 657, 765, 1095, 1241, 3285, 3723, 6205, 11169, 18615, 55845.
What is 55845 in binary?
1101101000100101 (hexadecimal DA25, octal 155045).
What is the square root of 55845?
About 236.3155, exactly 3√6205.
Is 55845 divisible by 3?
Yes. Its digits add up to 27, a multiple of 3.
What is special about the number 55845?
It is a composite number with 24 divisors.