The number 55539
55539 is a composite number with 24 divisors. Its prime factorisation is × × 17. Divisors (24): 1, 3, 9, 11, 17, 27, 33, 51, 99, 121, 153, 187, 297, 363, 459, 561 … 55539.
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How to work it out
- 1
What is special about 55539: a Harshad number: divisible by its digit sum 27.
- 2
55539 is composite. Its prime factorisation is
- 3
The divisors add up to 95760; without 55539 itself that is 40221, so 55539 is deficient (40221 is less than 55539). Euler's totient φ(55539) = 31680 numbers up to 55539 share no factor with it.
- 4
The digits of 55539 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
\[ 55539 = 3^{3} \times 11^{2} \times 17 \]55539 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 95760 |
| Euler totient φ(n) | 31680 |
| Square | 3084580521 |
| Cube | 171314517555819 |
| Square root | 235.667138 (= 33√51) |
| Digit sum / digital root | 27 / 9 |
| Collatz steps to 1 | 153 |
| Scientific notation | 5.5539 × |
55539 in other forms
| Form | Value |
|---|---|
| In words | fifty-five thousand five hundred and thirty-nine |
| Binary (base 2) | 1101100011110011 |
| Octal (base 8) | 154363 |
| Hexadecimal (base 16) | D8F3 |
| Base 3 | 2211012000 |
| As time | 55539 seconds = 15 h 25 min 39 s |
Is 55539 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 (55539 ÷ 3 = 18513) | 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 | No (remainder 4) | 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 1) | 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 (55539 ÷ 9 = 6171) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 9) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (55539 ÷ 11 = 5049) | 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 55539 a prime number?
No. 55539 = × × 17, so it is divisible by 3.
What are the factors of 55539?
1, 3, 9, 11, 17, 27, 33, 51, 99, 121, 153, 187, 297, 363, 459, 561, 1089, 1683, 2057, 3267, 5049, 6171, 18513, 55539.
What is 55539 in binary?
1101100011110011 (hexadecimal D8F3, octal 154363).
What is the square root of 55539?
About 235.6671, exactly 33√51.
Is 55539 divisible by 3?
Yes. Its digits add up to 27, a multiple of 3.
What is special about the number 55539?
55539 is a Harshad number: divisible by its digit sum 27.