The number 56584
56584 is a composite number with 16 divisors. Its prime factorisation is × 11 × 643. Divisors (16): 1, 2, 4, 8, 11, 22, 44, 88, 643, 1286, 2572, 5144, 7073, 14146, 28292, 56584.
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How to work it out
- 1
56584 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
56584 is composite. Its prime factorisation is
- 3
The divisors add up to 115920; without 56584 itself that is 59336, so 56584 is abundant (59336 is more than 56584). Euler's totient φ(56584) = 25680 numbers up to 56584 share no factor with it.
- 4
The digits of 56584 add up to 28, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 104 steps to reach 1.
LaTeX source of the formulas on this page
\[ 56584 = 2^{3} \times 11 \times 643 \]56584 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 115920 |
| Euler totient φ(n) | 25680 |
| Square | 3201749056 |
| Cube | 181167768584704 |
| Square root | 237.873916 (= 2√14146) |
| Digit sum / digital root | 28 / 1 |
| Collatz steps to 1 | 104 |
| Scientific notation | 5.6584 × |
56584 in other forms
| Form | Value |
|---|---|
| In words | fifty-six thousand five hundred and eighty-four |
| Binary (base 2) | 1101110100001000 |
| Octal (base 8) | 156410 |
| Hexadecimal (base 16) | DD08 |
| Base 3 | 2212121201 |
| As time | 56584 seconds = 15 h 43 min 4 s |
Is 56584 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (56584 ÷ 2 = 28292) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 1) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (56584 ÷ 4 = 14146) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 4) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 4) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 3) | 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 (56584 ÷ 8 = 7073) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 1) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 4) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (56584 ÷ 11 = 5144) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 56584 a prime number?
No. 56584 = × 11 × 643, so it is divisible by 2.
What are the factors of 56584?
1, 2, 4, 8, 11, 22, 44, 88, 643, 1286, 2572, 5144, 7073, 14146, 28292, 56584.
What is 56584 in binary?
1101110100001000 (hexadecimal DD08, octal 156410).
What is the square root of 56584?
About 237.8739, exactly 2√14146.
Is 56584 divisible by 3?
No. Its digits add up to 28, which is not a multiple of 3.
What is special about the number 56584?
It is a composite number with 16 divisors.