The number 57564
57564 is a composite number with 48 divisors. Its prime factorisation is × × 13 × 41. Divisors (48): 1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 27, 36, 39, 41, 52, 54 … 57564.
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How to work it out
- 1
What is special about 57564: a Harshad number: divisible by its digit sum 27.
- 2
57564 is composite. Its prime factorisation is
- 3
The divisors add up to 164640; without 57564 itself that is 107076, so 57564 is abundant (107076 is more than 57564). Euler's totient φ(57564) = 17280 numbers up to 57564 share no factor with it.
- 4
The digits of 57564 add up to 27, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 122 steps to reach 1.
LaTeX source of the formulas on this page
\[ 57564 = 2^{2} \times 3^{3} \times 13 \times 41 \]57564 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 48 |
| Sum of divisors | 164640 |
| Euler totient φ(n) | 17280 |
| Square | 3313614096 |
| Cube | 190744881822144 |
| Square root | 239.924988 (= 6√1599) |
| Digit sum / digital root | 27 / 9 |
| Collatz steps to 1 | 122 |
| Scientific notation | 5.7564 × |
57564 in other forms
| Form | Value |
|---|---|
| In words | fifty-seven thousand five hundred and sixty-four |
| Binary (base 2) | 1110000011011100 |
| Octal (base 8) | 160334 |
| Hexadecimal (base 16) | E0DC |
| Base 3 | 2220222000 |
| As time | 57564 seconds = 15 h 59 min 24 s |
Is 57564 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (57564 ÷ 2 = 28782) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (57564 ÷ 3 = 19188) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (57564 ÷ 4 = 14391) | 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 | Yes (57564 ÷ 6 = 9594) | 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 | No (remainder 4) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (57564 ÷ 9 = 6396) | 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 | No (remainder 1) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (57564 ÷ 12 = 4797) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 57564 a prime number?
No. 57564 = × × 13 × 41, so it is divisible by 2.
What are the factors of 57564?
1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 27, 36, 39, 41, 52, 54, 78, 82, 108, 117, 123, 156, 164, 234, 246, 351, 369, 468, 492, 533, 702, 738, 1066, 1107, 1404, 1476, 1599, 2132, 2214, 3198, 4428, 4797, 6396, 9594, 14391, 19188, 28782, 57564.
What is 57564 in binary?
1110000011011100 (hexadecimal E0DC, octal 160334).
What is the square root of 57564?
About 239.9250, exactly 6√1599.
Is 57564 divisible by 3?
Yes. Its digits add up to 27, a multiple of 3.
What is special about the number 57564?
57564 is a Harshad number: divisible by its digit sum 27.