The number 57104
57104 is a composite number with 20 divisors. Its prime factorisation is × 43 × 83. Divisors (20): 1, 2, 4, 8, 16, 43, 83, 86, 166, 172, 332, 344, 664, 688, 1328, 3569 … 57104.
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How to work it out
- 1
What is special about 57104: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
57104 is composite. Its prime factorisation is
- 3
The divisors add up to 114576; without 57104 itself that is 57472, so 57104 is abundant (57472 is more than 57104). Euler's totient φ(57104) = 27552 numbers up to 57104 share no factor with it.
- 4
The digits of 57104 add up to 17, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 78 steps to reach 1.
LaTeX source of the formulas on this page
\[ 57104 = 2^{4} \times 43 \times 83 \]57104 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 20 |
| Sum of divisors | 114576 |
| Euler totient φ(n) | 27552 |
| Square | 3260866816 |
| Cube | 186208538660864 |
| Square root | 238.964432 (= 4√3569) |
| Digit sum / digital root | 17 / 8 |
| Collatz steps to 1 | 78 |
| Scientific notation | 5.7104 × |
57104 in other forms
| Form | Value |
|---|---|
| In words | fifty-seven thousand one hundred and four |
| Binary (base 2) | 1101111100010000 |
| Octal (base 8) | 157420 |
| Hexadecimal (base 16) | DF10 |
| Base 3 | 2220022222 |
| As time | 57104 seconds = 15 h 51 min 44 s |
Is 57104 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (57104 ÷ 2 = 28552) | 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 (57104 ÷ 4 = 14276) | 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 | 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 | Yes (57104 ÷ 8 = 7138) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 8) | 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 3) | 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 57104 a prime number?
No. 57104 = × 43 × 83, so it is divisible by 2.
What are the factors of 57104?
1, 2, 4, 8, 16, 43, 83, 86, 166, 172, 332, 344, 664, 688, 1328, 3569, 7138, 14276, 28552, 57104.
What is 57104 in binary?
1101111100010000 (hexadecimal DF10, octal 157420).
What is the square root of 57104?
About 238.9644, exactly 4√3569.
Is 57104 divisible by 3?
No. Its digits add up to 17, which is not a multiple of 3.
What is special about the number 57104?
57104 is a happy number: repeatedly adding the squares of its digits reaches 1.