The number 55512
55512 is a composite number with 32 divisors. Its prime factorisation is × × 257. Divisors (32): 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 108, 216 … 55512.
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How to work it out
- 1
What is special about 55512: a Harshad number: divisible by its digit sum 18.
- 2
55512 is composite. Its prime factorisation is
- 3
The divisors add up to 154800; without 55512 itself that is 99288, so 55512 is abundant (99288 is more than 55512). Euler's totient φ(55512) = 18432 numbers up to 55512 share no factor with it.
- 4
The digits of 55512 add up to 18, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 91 steps to reach 1.
LaTeX source of the formulas on this page
\[ 55512 = 2^{3} \times 3^{3} \times 257 \]55512 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 32 |
| Sum of divisors | 154800 |
| Euler totient φ(n) | 18432 |
| Square | 3081582144 |
| Cube | 171064787977728 |
| Square root | 235.609847 (= 6√1542) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 91 |
| Scientific notation | 5.5512 × |
55512 in other forms
| Form | Value |
|---|---|
| In words | fifty-five thousand five hundred and twelve |
| Binary (base 2) | 1101100011011000 |
| Octal (base 8) | 154330 |
| Hexadecimal (base 16) | D8D8 |
| Base 3 | 2211011000 |
| As time | 55512 seconds = 15 h 25 min 12 s |
Is 55512 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (55512 ÷ 2 = 27756) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (55512 ÷ 3 = 18504) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (55512 ÷ 4 = 13878) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 2) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (55512 ÷ 6 = 9252) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 2) | 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 (55512 ÷ 8 = 6939) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (55512 ÷ 9 = 6168) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 2) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 6) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (55512 ÷ 12 = 4626) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 55512 a prime number?
No. 55512 = × × 257, so it is divisible by 2.
What are the factors of 55512?
1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 108, 216, 257, 514, 771, 1028, 1542, 2056, 2313, 3084, 4626, 6168, 6939, 9252, 13878, 18504, 27756, 55512.
What is 55512 in binary?
1101100011011000 (hexadecimal D8D8, octal 154330).
What is the square root of 55512?
About 235.6098, exactly 6√1542.
Is 55512 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 55512?
55512 is a Harshad number: divisible by its digit sum 18.