The number 58564
58564 is a perfect square (242²). Its prime factorisation is × . Divisors (15): 1, 2, 4, 11, 22, 44, 121, 242, 484, 1331, 2662, 5324, 14641, 29282, 58564.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 58564: a perfect square (242²).
- 2
58564 is composite. Its prime factorisation is
- 3
The divisors add up to 112735; without 58564 itself that is 54171, so 58564 is deficient (54171 is less than 58564). Euler's totient φ(58564) = 26620 numbers up to 58564 share no factor with it.
- 4
The digits of 58564 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 47 steps to reach 1.
LaTeX source of the formulas on this page
\[ 58564 = 2^{2} \times 11^{4} \]58564 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 15 |
| Sum of divisors | 112735 |
| Euler totient φ(n) | 26620 |
| Square | 3429742096 |
| Cube | 200859416110144 |
| Square root | 242 |
| Digit sum / digital root | 28 / 1 |
| Collatz steps to 1 | 47 |
| Scientific notation | 5.8564 × |
| Perfect power |
58564 in other forms
| Form | Value |
|---|---|
| In words | fifty-eight thousand five hundred and sixty-four |
| Binary (base 2) | 1110010011000100 |
| Octal (base 8) | 162304 |
| Hexadecimal (base 16) | E4C4 |
| Base 3 | 2222100001 |
| As time | 58564 seconds = 16 h 16 min 4 s |
Is 58564 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (58564 ÷ 2 = 29282) | 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 (58564 ÷ 4 = 14641) | 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 2) | 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 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 (58564 ÷ 11 = 5324) | 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 58564 a prime number?
No. 58564 = × , so it is divisible by 2.
What are the factors of 58564?
1, 2, 4, 11, 22, 44, 121, 242, 484, 1331, 2662, 5324, 14641, 29282, 58564.
What is 58564 in binary?
1110010011000100 (hexadecimal E4C4, octal 162304).
What is the square root of 58564?
242, because 242 × 242 = 58564.
Is 58564 divisible by 3?
No. Its digits add up to 28, which is not a multiple of 3.
What is special about the number 58564?
58564 is a perfect square (242²).