The number 57072
57072 is a composite number with 40 divisors. Its prime factorisation is × 3 × 29 × 41. Divisors (40): 1, 2, 3, 4, 6, 8, 12, 16, 24, 29, 41, 48, 58, 82, 87, 116 … 57072.
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How to work it out
- 1
57072 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
57072 is composite. Its prime factorisation is
- 3
The divisors add up to 156240; without 57072 itself that is 99168, so 57072 is abundant (99168 is more than 57072). Euler's totient φ(57072) = 17920 numbers up to 57072 share no factor with it.
- 4
The digits of 57072 add up to 21, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 197 steps to reach 1.
LaTeX source of the formulas on this page
\[ 57072 = 2^{4} \times 3 \times 29 \times 41 \]57072 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 40 |
| Sum of divisors | 156240 |
| Euler totient φ(n) | 17920 |
| Square | 3257213184 |
| Cube | 185895670837248 |
| Square root | 238.897468 (= 4√3567) |
| Digit sum / digital root | 21 / 3 |
| Collatz steps to 1 | 197 |
| Scientific notation | 5.7072 × |
57072 in other forms
| Form | Value |
|---|---|
| In words | fifty-seven thousand and seventy-two |
| Binary (base 2) | 1101111011110000 |
| Octal (base 8) | 157360 |
| Hexadecimal (base 16) | DEF0 |
| Base 3 | 2220021210 |
| As time | 57072 seconds = 15 h 51 min 12 s |
Is 57072 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (57072 ÷ 2 = 28536) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (57072 ÷ 3 = 19024) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (57072 ÷ 4 = 14268) | 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 (57072 ÷ 6 = 9512) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 1) | 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 (57072 ÷ 8 = 7134) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 3) | 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 | No (remainder 4) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (57072 ÷ 12 = 4756) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 57072 a prime number?
No. 57072 = × 3 × 29 × 41, so it is divisible by 2.
What are the factors of 57072?
1, 2, 3, 4, 6, 8, 12, 16, 24, 29, 41, 48, 58, 82, 87, 116, 123, 164, 174, 232, 246, 328, 348, 464, 492, 656, 696, 984, 1189, 1392, 1968, 2378, 3567, 4756, 7134, 9512, 14268, 19024, 28536, 57072.
What is 57072 in binary?
1101111011110000 (hexadecimal DEF0, octal 157360).
What is the square root of 57072?
About 238.8975, exactly 4√3567.
Is 57072 divisible by 3?
Yes. Its digits add up to 21, a multiple of 3.
What is special about the number 57072?
It is a composite number with 40 divisors.