The number 57552
57552 is a composite number with 40 divisors. Its prime factorisation is × 3 × 11 × 109. Divisors (40): 1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 33, 44, 48, 66, 88 … 57552.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 57552: a Harshad number: divisible by its digit sum 24.
- 2
57552 is composite. Its prime factorisation is
- 3
The divisors add up to 163680; without 57552 itself that is 106128, so 57552 is abundant (106128 is more than 57552). Euler's totient φ(57552) = 17280 numbers up to 57552 share no factor with it.
- 4
The digits of 57552 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 122 steps to reach 1.
LaTeX source of the formulas on this page
\[ 57552 = 2^{4} \times 3 \times 11 \times 109 \]57552 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 40 |
| Sum of divisors | 163680 |
| Euler totient φ(n) | 17280 |
| Square | 3312232704 |
| Cube | 190625616580608 |
| Square root | 239.899979 (= 4√3597) |
| Digit sum / digital root | 24 / 6 |
| Collatz steps to 1 | 122 |
| Scientific notation | 5.7552 × |
57552 in other forms
| Form | Value |
|---|---|
| In words | fifty-seven thousand five hundred and fifty-two |
| Binary (base 2) | 1110000011010000 |
| Octal (base 8) | 160320 |
| Hexadecimal (base 16) | E0D0 |
| Base 3 | 2220221120 |
| As time | 57552 seconds = 15 h 59 min 12 s |
Is 57552 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (57552 ÷ 2 = 28776) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (57552 ÷ 3 = 19184) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (57552 ÷ 4 = 14388) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 2) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (57552 ÷ 6 = 9592) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 5) | 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 (57552 ÷ 8 = 7194) | 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 2) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (57552 ÷ 11 = 5232) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (57552 ÷ 12 = 4796) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 57552 a prime number?
No. 57552 = × 3 × 11 × 109, so it is divisible by 2.
What are the factors of 57552?
1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 33, 44, 48, 66, 88, 109, 132, 176, 218, 264, 327, 436, 528, 654, 872, 1199, 1308, 1744, 2398, 2616, 3597, 4796, 5232, 7194, 9592, 14388, 19184, 28776, 57552.
What is 57552 in binary?
1110000011010000 (hexadecimal E0D0, octal 160320).
What is the square root of 57552?
About 239.9000, exactly 4√3597.
Is 57552 divisible by 3?
Yes. Its digits add up to 24, a multiple of 3.
What is special about the number 57552?
57552 is a Harshad number: divisible by its digit sum 24.