The number 55836
55836 is a composite number with 48 divisors. Its prime factorisation is × × 11 × 47. Divisors (48): 1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 27, 33, 36, 44, 47, 54 … 55836.
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How to work it out
- 1
What is special about 55836: a Harshad number: divisible by its digit sum 27.
- 2
55836 is composite. Its prime factorisation is
- 3
The divisors add up to 161280; without 55836 itself that is 105444, so 55836 is abundant (105444 is more than 55836). Euler's totient φ(55836) = 16560 numbers up to 55836 share no factor with it.
- 4
The digits of 55836 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 109 steps to reach 1.
LaTeX source of the formulas on this page
\[ 55836 = 2^{2} \times 3^{3} \times 11 \times 47 \]55836 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 48 |
| Sum of divisors | 161280 |
| Euler totient φ(n) | 16560 |
| Square | 3117658896 |
| Cube | 174077602117056 |
| Square root | 236.296424 (= 6√1551) |
| Digit sum / digital root | 27 / 9 |
| Collatz steps to 1 | 109 |
| Scientific notation | 5.5836 × |
55836 in other forms
| Form | Value |
|---|---|
| In words | fifty-five thousand eight hundred and thirty-six |
| Binary (base 2) | 1101101000011100 |
| Octal (base 8) | 155034 |
| Hexadecimal (base 16) | DA1C |
| Base 3 | 2211121000 |
| As time | 55836 seconds = 15 h 30 min 36 s |
Is 55836 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (55836 ÷ 2 = 27918) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (55836 ÷ 3 = 18612) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (55836 ÷ 4 = 13959) | 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 | Yes (55836 ÷ 6 = 9306) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 4) | 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 (55836 ÷ 9 = 6204) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 6) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (55836 ÷ 11 = 5076) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (55836 ÷ 12 = 4653) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 55836 a prime number?
No. 55836 = × × 11 × 47, so it is divisible by 2.
What are the factors of 55836?
1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 27, 33, 36, 44, 47, 54, 66, 94, 99, 108, 132, 141, 188, 198, 282, 297, 396, 423, 517, 564, 594, 846, 1034, 1188, 1269, 1551, 1692, 2068, 2538, 3102, 4653, 5076, 6204, 9306, 13959, 18612, 27918, 55836.
What is 55836 in binary?
1101101000011100 (hexadecimal DA1C, octal 155034).
What is the square root of 55836?
About 236.2964, exactly 6√1551.
Is 55836 divisible by 3?
Yes. Its digits add up to 27, a multiple of 3.
What is special about the number 55836?
55836 is a Harshad number: divisible by its digit sum 27.