The number 57188
57188 is a composite number with 18 divisors. Its prime factorisation is × 17 × . Divisors (18): 1, 2, 4, 17, 29, 34, 58, 68, 116, 493, 841, 986, 1682, 1972, 3364, 14297 … 57188.
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How to work it out
- 1
What is special about 57188: a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 29.
- 2
57188 is composite. Its prime factorisation is
- 3
The divisors add up to 109746; without 57188 itself that is 52558, so 57188 is deficient (52558 is less than 57188). Euler's totient φ(57188) = 25984 numbers up to 57188 share no factor with it.
- 4
The digits of 57188 add up to 29, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 78 steps to reach 1.
LaTeX source of the formulas on this page
\[ 57188 = 2^{2} \times 17 \times 29^{2} \]57188 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 18 |
| Sum of divisors | 109746 |
| Euler totient φ(n) | 25984 |
| Square | 3270467344 |
| Cube | 187031486468672 |
| Square root | 239.140126 (= 58√17) |
| Digit sum / digital root | 29 / 2 |
| Collatz steps to 1 | 78 |
| Scientific notation | 5.7188 × |
57188 in other forms
| Form | Value |
|---|---|
| In words | fifty-seven thousand one hundred and eighty-eight |
| Binary (base 2) | 1101111101100100 |
| Octal (base 8) | 157544 |
| Hexadecimal (base 16) | DF64 |
| Base 3 | 2220110002 |
| As time | 57188 seconds = 15 h 53 min 8 s |
Is 57188 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (57188 ÷ 2 = 28594) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 2) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (57188 ÷ 4 = 14297) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 3) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 2) | 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 | No (remainder 4) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 2) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 8) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 10) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 57188 a prime number?
No. 57188 = × 17 × , so it is divisible by 2.
What are the factors of 57188?
1, 2, 4, 17, 29, 34, 58, 68, 116, 493, 841, 986, 1682, 1972, 3364, 14297, 28594, 57188.
What is 57188 in binary?
1101111101100100 (hexadecimal DF64, octal 157544).
What is the square root of 57188?
About 239.1401, exactly 58√17.
Is 57188 divisible by 3?
No. Its digits add up to 29, which is not a multiple of 3.
What is special about the number 57188?
57188 is a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 29.