The number 56588
56588 is a composite number with 24 divisors. Its prime factorisation is × 7 × 43 × 47. Divisors (24): 1, 2, 4, 7, 14, 28, 43, 47, 86, 94, 172, 188, 301, 329, 602, 658 … 56588.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
56588 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
56588 is composite. Its prime factorisation is
- 3
The divisors add up to 118272; without 56588 itself that is 61684, so 56588 is abundant (61684 is more than 56588). Euler's totient φ(56588) = 23184 numbers up to 56588 share no factor with it.
- 4
The digits of 56588 add up to 32, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 104 steps to reach 1.
LaTeX source of the formulas on this page
\[ 56588 = 2^{2} \times 7 \times 43 \times 47 \]56588 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 118272 |
| Euler totient φ(n) | 23184 |
| Square | 3202201744 |
| Cube | 181206192289472 |
| Square root | 237.882324 (= 2√14147) |
| Digit sum / digital root | 32 / 5 |
| Collatz steps to 1 | 104 |
| Scientific notation | 5.6588 × |
56588 in other forms
| Form | Value |
|---|---|
| In words | fifty-six thousand five hundred and eighty-eight |
| Binary (base 2) | 1101110100001100 |
| Octal (base 8) | 156414 |
| Hexadecimal (base 16) | DD0C |
| Base 3 | 2212121212 |
| As time | 56588 seconds = 15 h 43 min 8 s |
Is 56588 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (56588 ÷ 2 = 28294) | 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 (56588 ÷ 4 = 14147) | 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 (56588 ÷ 7 = 8084) | 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 5) | 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 | No (remainder 4) | 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 56588 a prime number?
No. 56588 = × 7 × 43 × 47, so it is divisible by 2.
What are the factors of 56588?
1, 2, 4, 7, 14, 28, 43, 47, 86, 94, 172, 188, 301, 329, 602, 658, 1204, 1316, 2021, 4042, 8084, 14147, 28294, 56588.
What is 56588 in binary?
1101110100001100 (hexadecimal DD0C, octal 156414).
What is the square root of 56588?
About 237.8823, exactly 2√14147.
Is 56588 divisible by 3?
No. Its digits add up to 32, which is not a multiple of 3.
What is special about the number 56588?
It is a composite number with 24 divisors.