The number 55712
55712 is a composite number with 12 divisors. Its prime factorisation is × 1741. Divisors (12): 1, 2, 4, 8, 16, 32, 1741, 3482, 6964, 13928, 27856, 55712.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
55712 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
55712 is composite. Its prime factorisation is
- 3
The divisors add up to 109746; without 55712 itself that is 54034, so 55712 is deficient (54034 is less than 55712). Euler's totient φ(55712) = 27840 numbers up to 55712 share no factor with it.
- 4
The digits of 55712 add up to 20, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 34 steps to reach 1.
LaTeX source of the formulas on this page
\[ 55712 = 2^{5} \times 1741 \]55712 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 109746 |
| Euler totient φ(n) | 27840 |
| Square | 3103826944 |
| Cube | 172920406704128 |
| Square root | 236.033896 (= 4√3482) |
| Digit sum / digital root | 20 / 2 |
| Collatz steps to 1 | 34 |
| Scientific notation | 5.5712 × |
55712 in other forms
| Form | Value |
|---|---|
| In words | fifty-five thousand seven hundred and twelve |
| Binary (base 2) | 1101100110100000 |
| Octal (base 8) | 154640 |
| Hexadecimal (base 16) | D9A0 |
| Base 3 | 2211102102 |
| As time | 55712 seconds = 15 h 28 min 32 s |
Is 55712 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (55712 ÷ 2 = 27856) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 2) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (55712 ÷ 4 = 13928) | 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 | No (remainder 2) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 6) | 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 (55712 ÷ 8 = 6964) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 2) | 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 8) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 55712 a prime number?
No. 55712 = × 1741, so it is divisible by 2.
What are the factors of 55712?
1, 2, 4, 8, 16, 32, 1741, 3482, 6964, 13928, 27856, 55712.
What is 55712 in binary?
1101100110100000 (hexadecimal D9A0, octal 154640).
What is the square root of 55712?
About 236.0339, exactly 4√3482.
Is 55712 divisible by 3?
No. Its digits add up to 20, which is not a multiple of 3.
What is special about the number 55712?
It is a composite number with 12 divisors.