The number 53768
53768 is a composite number with 32 divisors. Its prime factorisation is × 11 × 13 × 47. Divisors (32): 1, 2, 4, 8, 11, 13, 22, 26, 44, 47, 52, 88, 94, 104, 143, 188 … 53768.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
53768 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
53768 is composite. Its prime factorisation is
- 3
The divisors add up to 120960; without 53768 itself that is 67192, so 53768 is abundant (67192 is more than 53768). Euler's totient φ(53768) = 22080 numbers up to 53768 share no factor with it.
- 4
The digits of 53768 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 47 steps to reach 1.
LaTeX source of the formulas on this page
\[ 53768 = 2^{3} \times 11 \times 13 \times 47 \]53768 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 32 |
| Sum of divisors | 120960 |
| Euler totient φ(n) | 22080 |
| Square | 2890997824 |
| Cube | 155443171000832 |
| Square root | 231.879279 (= 2√13442) |
| Digit sum / digital root | 29 / 2 |
| Collatz steps to 1 | 47 |
| Scientific notation | 5.3768 × |
53768 in other forms
| Form | Value |
|---|---|
| In words | fifty-three thousand seven hundred and sixty-eight |
| Binary (base 2) | 1101001000001000 |
| Octal (base 8) | 151010 |
| Hexadecimal (base 16) | D208 |
| Base 3 | 2201202102 |
| As time | 53768 seconds = 14 h 56 min 8 s |
Is 53768 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (53768 ÷ 2 = 26884) | 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 (53768 ÷ 4 = 13442) | 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 | No (remainder 1) | 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 (53768 ÷ 8 = 6721) | 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 (53768 ÷ 11 = 4888) | 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 53768 a prime number?
No. 53768 = × 11 × 13 × 47, so it is divisible by 2.
What are the factors of 53768?
1, 2, 4, 8, 11, 13, 22, 26, 44, 47, 52, 88, 94, 104, 143, 188, 286, 376, 517, 572, 611, 1034, 1144, 1222, 2068, 2444, 4136, 4888, 6721, 13442, 26884, 53768.
What is 53768 in binary?
1101001000001000 (hexadecimal D208, octal 151010).
What is the square root of 53768?
About 231.8793, exactly 2√13442.
Is 53768 divisible by 3?
No. Its digits add up to 29, which is not a multiple of 3.
What is special about the number 53768?
It is a composite number with 32 divisors.