The number 56816
56816 is a composite number with 20 divisors. Its prime factorisation is × 53 × 67. Divisors (20): 1, 2, 4, 8, 16, 53, 67, 106, 134, 212, 268, 424, 536, 848, 1072, 3551 … 56816.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
56816 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
56816 is composite. Its prime factorisation is
- 3
The divisors add up to 113832; without 56816 itself that is 57016, so 56816 is abundant (57016 is more than 56816). Euler's totient φ(56816) = 27456 numbers up to 56816 share no factor with it.
- 4
The digits of 56816 add up to 26, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 91 steps to reach 1.
LaTeX source of the formulas on this page
\[ 56816 = 2^{4} \times 53 \times 67 \]56816 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 20 |
| Sum of divisors | 113832 |
| Euler totient φ(n) | 27456 |
| Square | 3228057856 |
| Cube | 183405335146496 |
| Square root | 238.361071 (= 4√3551) |
| Digit sum / digital root | 26 / 8 |
| Collatz steps to 1 | 91 |
| Scientific notation | 5.6816 × |
56816 in other forms
| Form | Value |
|---|---|
| In words | fifty-six thousand eight hundred and sixteen |
| Binary (base 2) | 1101110111110000 |
| Octal (base 8) | 156760 |
| Hexadecimal (base 16) | DDF0 |
| Base 3 | 2212221022 |
| As time | 56816 seconds = 15 h 46 min 56 s |
Is 56816 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (56816 ÷ 2 = 28408) | 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 (56816 ÷ 4 = 14204) | 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 | No (remainder 2) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 4) | 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 (56816 ÷ 8 = 7102) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 8) | 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 1) | 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 56816 a prime number?
No. 56816 = × 53 × 67, so it is divisible by 2.
What are the factors of 56816?
1, 2, 4, 8, 16, 53, 67, 106, 134, 212, 268, 424, 536, 848, 1072, 3551, 7102, 14204, 28408, 56816.
What is 56816 in binary?
1101110111110000 (hexadecimal DDF0, octal 156760).
What is the square root of 56816?
About 238.3611, exactly 4√3551.
Is 56816 divisible by 3?
No. Its digits add up to 26, which is not a multiple of 3.
What is special about the number 56816?
It is a composite number with 20 divisors.