The number 55536
55536 is a composite number with 40 divisors. Its prime factorisation is × 3 × 13 × 89. Divisors (40): 1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 39, 48, 52, 78, 89 … 55536.
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How to work it out
- 1
What is special about 55536: a Harshad number: divisible by its digit sum 24.
- 2
55536 is composite. Its prime factorisation is
- 3
The divisors add up to 156240; without 55536 itself that is 100704, so 55536 is abundant (100704 is more than 55536). Euler's totient φ(55536) = 16896 numbers up to 55536 share no factor with it.
- 4
The digits of 55536 add up to 24, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 109 steps to reach 1.
LaTeX source of the formulas on this page
\[ 55536 = 2^{4} \times 3 \times 13 \times 89 \]55536 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 40 |
| Sum of divisors | 156240 |
| Euler totient φ(n) | 16896 |
| Square | 3084247296 |
| Cube | 171286757830656 |
| Square root | 235.660773 (= 4√3471) |
| Digit sum / digital root | 24 / 6 |
| Collatz steps to 1 | 109 |
| Scientific notation | 5.5536 × |
55536 in other forms
| Form | Value |
|---|---|
| In words | fifty-five thousand five hundred and thirty-six |
| Binary (base 2) | 1101100011110000 |
| Octal (base 8) | 154360 |
| Hexadecimal (base 16) | D8F0 |
| Base 3 | 2211011220 |
| As time | 55536 seconds = 15 h 25 min 36 s |
Is 55536 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (55536 ÷ 2 = 27768) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (55536 ÷ 3 = 18512) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (55536 ÷ 4 = 13884) | 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 (55536 ÷ 6 = 9256) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 5) | 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 | Yes (55536 ÷ 8 = 6942) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 6) | 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 | No (remainder 8) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (55536 ÷ 12 = 4628) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 55536 a prime number?
No. 55536 = × 3 × 13 × 89, so it is divisible by 2.
What are the factors of 55536?
1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 39, 48, 52, 78, 89, 104, 156, 178, 208, 267, 312, 356, 534, 624, 712, 1068, 1157, 1424, 2136, 2314, 3471, 4272, 4628, 6942, 9256, 13884, 18512, 27768, 55536.
What is 55536 in binary?
1101100011110000 (hexadecimal D8F0, octal 154360).
What is the square root of 55536?
About 235.6608, exactly 4√3471.
Is 55536 divisible by 3?
Yes. Its digits add up to 24, a multiple of 3.
What is special about the number 55536?
55536 is a Harshad number: divisible by its digit sum 24.