The number 57264
57264 is a composite number with 20 divisors. Its prime factorisation is × 3 × 1193. Divisors (20): 1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 1193, 2386, 3579, 4772, 7158, 9544 … 57264.
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How to work it out
- 1
What is special about 57264: a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 24.
- 2
57264 is composite. Its prime factorisation is
- 3
The divisors add up to 148056; without 57264 itself that is 90792, so 57264 is abundant (90792 is more than 57264). Euler's totient φ(57264) = 19072 numbers up to 57264 share no factor with it.
- 4
The digits of 57264 add up to 24, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 78 steps to reach 1.
LaTeX source of the formulas on this page
\[ 57264 = 2^{4} \times 3 \times 1193 \]57264 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 20 |
| Sum of divisors | 148056 |
| Euler totient φ(n) | 19072 |
| Square | 3279165696 |
| Cube | 187778144415744 |
| Square root | 239.298976 (= 4√3579) |
| Digit sum / digital root | 24 / 6 |
| Collatz steps to 1 | 78 |
| Scientific notation | 5.7264 × |
57264 in other forms
| Form | Value |
|---|---|
| In words | fifty-seven thousand two hundred and sixty-four |
| Binary (base 2) | 1101111110110000 |
| Octal (base 8) | 157660 |
| Hexadecimal (base 16) | DFB0 |
| Base 3 | 2220112220 |
| As time | 57264 seconds = 15 h 54 min 24 s |
Is 57264 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (57264 ÷ 2 = 28632) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (57264 ÷ 3 = 19088) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (57264 ÷ 4 = 14316) | 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 (57264 ÷ 6 = 9544) | 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 (57264 ÷ 8 = 7158) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 6) | 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 9) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (57264 ÷ 12 = 4772) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 57264 a prime number?
No. 57264 = × 3 × 1193, so it is divisible by 2.
What are the factors of 57264?
1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 1193, 2386, 3579, 4772, 7158, 9544, 14316, 19088, 28632, 57264.
What is 57264 in binary?
1101111110110000 (hexadecimal DFB0, octal 157660).
What is the square root of 57264?
About 239.2990, exactly 4√3579.
Is 57264 divisible by 3?
Yes. Its digits add up to 24, a multiple of 3.
What is special about the number 57264?
57264 is a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 24.