The number 57442
57442 is a composite number with 16 divisors. Its prime factorisation is 2 × 7 × 11 × 373. Divisors (16): 1, 2, 7, 11, 14, 22, 77, 154, 373, 746, 2611, 4103, 5222, 8206, 28721, 57442.
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How to work it out
- 1
What is special about 57442: a Harshad number: divisible by its digit sum 22.
- 2
57442 is composite. Its prime factorisation is
- 3
The divisors add up to 107712; without 57442 itself that is 50270, so 57442 is deficient (50270 is less than 57442). Euler's totient φ(57442) = 22320 numbers up to 57442 share no factor with it.
- 4
The digits of 57442 add up to 22, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 153 steps to reach 1.
LaTeX source of the formulas on this page
\[ 57442 = 2 \times 7 \times 11 \times 373 \]
57442 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 107712 |
| Euler totient φ(n) | 22320 |
| Square | 3299583364 |
| Cube | 189534667594888 |
| Square root | 239.670607 |
| Digit sum / digital root | 22 / 4 |
| Collatz steps to 1 | 153 |
| Scientific notation | 5.7442 × |
57442 in other forms
| Form | Value |
|---|---|
| In words | fifty-seven thousand four hundred and forty-two |
| Binary (base 2) | 1110000001100010 |
| Octal (base 8) | 160142 |
| Hexadecimal (base 16) | E062 |
| Base 3 | 2220210111 |
| As time | 57442 seconds = 15 h 57 min 22 s |
Is 57442 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (57442 ÷ 2 = 28721) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 1) | 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 2) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 4) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (57442 ÷ 7 = 8206) | 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 2) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 4) | 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 (57442 ÷ 11 = 5222) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 10) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 57442 a prime number?
No. 57442 = 2 × 7 × 11 × 373, so it is divisible by 2.
What are the factors of 57442?
1, 2, 7, 11, 14, 22, 77, 154, 373, 746, 2611, 4103, 5222, 8206, 28721, 57442.
What is 57442 in binary?
1110000001100010 (hexadecimal E062, octal 160142).
What is the square root of 57442?
About 239.6706.
Is 57442 divisible by 3?
No. Its digits add up to 22, which is not a multiple of 3.
What is special about the number 57442?
57442 is a Harshad number: divisible by its digit sum 22.