The number 55188
55188 is a composite number with 48 divisors. Its prime factorisation is × × 7 × 73. Divisors (48): 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54 … 55188.
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How to work it out
- 1
What is special about 55188: a Harshad number: divisible by its digit sum 27.
- 2
55188 is composite. Its prime factorisation is
- 3
The divisors add up to 165760; without 55188 itself that is 110572, so 55188 is abundant (110572 is more than 55188). Euler's totient φ(55188) = 15552 numbers up to 55188 share no factor with it.
- 4
The digits of 55188 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 153 steps to reach 1.
LaTeX source of the formulas on this page
\[ 55188 = 2^{2} \times 3^{3} \times 7 \times 73 \]55188 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 48 |
| Sum of divisors | 165760 |
| Euler totient φ(n) | 15552 |
| Square | 3045715344 |
| Cube | 168086938404672 |
| Square root | 234.921263 (= 6√1533) |
| Digit sum / digital root | 27 / 9 |
| Collatz steps to 1 | 153 |
| Scientific notation | 5.5188 × |
55188 in other forms
| Form | Value |
|---|---|
| In words | fifty-five thousand one hundred and eighty-eight |
| Binary (base 2) | 1101011110010100 |
| Octal (base 8) | 153624 |
| Hexadecimal (base 16) | D794 |
| Base 3 | 2210201000 |
| As time | 55188 seconds = 15 h 19 min 48 s |
Is 55188 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (55188 ÷ 2 = 27594) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (55188 ÷ 3 = 18396) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (55188 ÷ 4 = 13797) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 3) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (55188 ÷ 6 = 9198) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (55188 ÷ 7 = 7884) | 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 4) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (55188 ÷ 9 = 6132) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 8) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 1) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (55188 ÷ 12 = 4599) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 55188 a prime number?
No. 55188 = × × 7 × 73, so it is divisible by 2.
What are the factors of 55188?
1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 63, 73, 84, 108, 126, 146, 189, 219, 252, 292, 378, 438, 511, 657, 756, 876, 1022, 1314, 1533, 1971, 2044, 2628, 3066, 3942, 4599, 6132, 7884, 9198, 13797, 18396, 27594, 55188.
What is 55188 in binary?
1101011110010100 (hexadecimal D794, octal 153624).
What is the square root of 55188?
About 234.9213, exactly 6√1533.
Is 55188 divisible by 3?
Yes. Its digits add up to 27, a multiple of 3.
What is special about the number 55188?
55188 is a Harshad number: divisible by its digit sum 27.