The number 55755
55755 is a palindrome: it reads 55755 backwards too. Its prime factorisation is × 5 × 7 × 59. Divisors (32): 1, 3, 5, 7, 9, 15, 21, 27, 35, 45, 59, 63, 105, 135, 177, 189 … 55755.
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How to work it out
- 1
What is special about 55755: a palindrome: it reads 55755 backwards too; a Harshad number: divisible by its digit sum 27.
- 2
55755 is composite. Its prime factorisation is
- 3
The divisors add up to 115200; without 55755 itself that is 59445, so 55755 is abundant (59445 is more than 55755). Euler's totient φ(55755) = 25056 numbers up to 55755 share no factor with it.
- 4
The digits of 55755 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 60 steps to reach 1.
LaTeX source of the formulas on this page
\[ 55755 = 3^{3} \times 5 \times 7 \times 59 \]55755 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 32 |
| Sum of divisors | 115200 |
| Euler totient φ(n) | 25056 |
| Square | 3108620025 |
| Cube | 173321109493875 |
| Square root | 236.124967 (= 3√6195) |
| Digit sum / digital root | 27 / 9 |
| Collatz steps to 1 | 60 |
| Scientific notation | 5.5755 × |
55755 in other forms
| Form | Value |
|---|---|
| In words | fifty-five thousand seven hundred and fifty-five |
| Binary (base 2) | 1101100111001011 |
| Octal (base 8) | 154713 |
| Hexadecimal (base 16) | D9CB |
| Base 3 | 2211111000 |
| As time | 55755 seconds = 15 h 29 min 15 s |
Is 55755 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 (55755 ÷ 3 = 18585) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 3) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (55755 ÷ 5 = 11151) | 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 | Yes (55755 ÷ 7 = 7965) | 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 3) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (55755 ÷ 9 = 6195) | 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 7) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 3) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 55755 a prime number?
No. 55755 = × 5 × 7 × 59, so it is divisible by 3.
What are the factors of 55755?
1, 3, 5, 7, 9, 15, 21, 27, 35, 45, 59, 63, 105, 135, 177, 189, 295, 315, 413, 531, 885, 945, 1239, 1593, 2065, 2655, 3717, 6195, 7965, 11151, 18585, 55755.
What is 55755 in binary?
1101100111001011 (hexadecimal D9CB, octal 154713).
What is the square root of 55755?
About 236.1250, exactly 3√6195.
Is 55755 divisible by 3?
Yes. Its digits add up to 27, a multiple of 3.
What is special about the number 55755?
55755 is a palindrome: it reads 55755 backwards too; a Harshad number: divisible by its digit sum 27.