The number 57134
57134 is a composite number with 24 divisors. Its prime factorisation is 2 × × 11 × 53. Divisors (24): 1, 2, 7, 11, 14, 22, 49, 53, 77, 98, 106, 154, 371, 539, 583, 742 … 57134.
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How to work it out
- 1
What is special about 57134: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
57134 is composite. Its prime factorisation is
- 3
The divisors add up to 110808; without 57134 itself that is 53674, so 57134 is deficient (53674 is less than 57134). Euler's totient φ(57134) = 21840 numbers up to 57134 share no factor with it.
- 4
The digits of 57134 add up to 20, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 34 steps to reach 1.
LaTeX source of the formulas on this page
\[ 57134 = 2 \times 7^{2} \times 11 \times 53 \]57134 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 110808 |
| Euler totient φ(n) | 21840 |
| Square | 3264293956 |
| Cube | 186502170882104 |
| Square root | 239.027195 (= 7√1166) |
| Digit sum / digital root | 20 / 2 |
| Collatz steps to 1 | 34 |
| Scientific notation | 5.7134 × |
57134 in other forms
| Form | Value |
|---|---|
| In words | fifty-seven thousand one hundred and thirty-four |
| Binary (base 2) | 1101111100101110 |
| Octal (base 8) | 157456 |
| Hexadecimal (base 16) | DF2E |
| Base 3 | 2220101002 |
| As time | 57134 seconds = 15 h 52 min 14 s |
Is 57134 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (57134 ÷ 2 = 28567) | 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 | No (remainder 2) | 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 | Yes (57134 ÷ 7 = 8162) | 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 6) | 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 4) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (57134 ÷ 11 = 5194) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 2) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 57134 a prime number?
No. 57134 = 2 × × 11 × 53, so it is divisible by 2.
What are the factors of 57134?
1, 2, 7, 11, 14, 22, 49, 53, 77, 98, 106, 154, 371, 539, 583, 742, 1078, 1166, 2597, 4081, 5194, 8162, 28567, 57134.
What is 57134 in binary?
1101111100101110 (hexadecimal DF2E, octal 157456).
What is the square root of 57134?
About 239.0272, exactly 7√1166.
Is 57134 divisible by 3?
No. Its digits add up to 20, which is not a multiple of 3.
What is special about the number 57134?
57134 is a happy number: repeatedly adding the squares of its digits reaches 1.