The number 55748
55748 is a composite number with 24 divisors. Its prime factorisation is × 7 × 11 × 181. Divisors (24): 1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 154, 181, 308, 362, 724, 1267 … 55748.
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How to work it out
- 1
55748 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
55748 is composite. Its prime factorisation is
- 3
The divisors add up to 122304; without 55748 itself that is 66556, so 55748 is abundant (66556 is more than 55748). Euler's totient φ(55748) = 21600 numbers up to 55748 share no factor with it.
- 4
The digits of 55748 add up to 29, 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
\[ 55748 = 2^{2} \times 7 \times 11 \times 181 \]55748 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 122304 |
| Euler totient φ(n) | 21600 |
| Square | 3107839504 |
| Cube | 173255836668992 |
| Square root | 236.110144 (= 2√13937) |
| Digit sum / digital root | 29 / 2 |
| Collatz steps to 1 | 34 |
| Scientific notation | 5.5748 × |
55748 in other forms
| Form | Value |
|---|---|
| In words | fifty-five thousand seven hundred and forty-eight |
| Binary (base 2) | 1101100111000100 |
| Octal (base 8) | 154704 |
| Hexadecimal (base 16) | D9C4 |
| Base 3 | 2211110202 |
| As time | 55748 seconds = 15 h 29 min 8 s |
Is 55748 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (55748 ÷ 2 = 27874) | 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 (55748 ÷ 4 = 13937) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 3) | 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 | Yes (55748 ÷ 7 = 7964) | 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 | No (remainder 2) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 8) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (55748 ÷ 11 = 5068) | 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 55748 a prime number?
No. 55748 = × 7 × 11 × 181, so it is divisible by 2.
What are the factors of 55748?
1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 154, 181, 308, 362, 724, 1267, 1991, 2534, 3982, 5068, 7964, 13937, 27874, 55748.
What is 55748 in binary?
1101100111000100 (hexadecimal D9C4, octal 154704).
What is the square root of 55748?
About 236.1101, exactly 2√13937.
Is 55748 divisible by 3?
No. Its digits add up to 29, which is not a multiple of 3.
What is special about the number 55748?
It is a composite number with 24 divisors.