The number 57342
57342 is a composite number with 16 divisors. Its prime factorisation is 2 × 3 × 19 × 503. Divisors (16): 1, 2, 3, 6, 19, 38, 57, 114, 503, 1006, 1509, 3018, 9557, 19114, 28671, 57342.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 57342: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
57342 is composite. Its prime factorisation is
- 3
The divisors add up to 120960; without 57342 itself that is 63618, so 57342 is abundant (63618 is more than 57342). Euler's totient φ(57342) = 18072 numbers up to 57342 share no factor with it.
- 4
The digits of 57342 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 166 steps to reach 1.
LaTeX source of the formulas on this page
\[ 57342 = 2 \times 3 \times 19 \times 503 \]
57342 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 120960 |
| Euler totient φ(n) | 18072 |
| Square | 3288104964 |
| Cube | 188546514845688 |
| Square root | 239.461897 |
| Digit sum / digital root | 21 / 3 |
| Collatz steps to 1 | 166 |
| Scientific notation | 5.7342 × |
57342 in other forms
| Form | Value |
|---|---|
| In words | fifty-seven thousand three hundred and forty-two |
| Binary (base 2) | 1101111111111110 |
| Octal (base 8) | 157776 |
| Hexadecimal (base 16) | DFFE |
| Base 3 | 2220122210 |
| As time | 57342 seconds = 15 h 55 min 42 s |
Is 57342 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (57342 ÷ 2 = 28671) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (57342 ÷ 3 = 19114) | 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 | Yes (57342 ÷ 6 = 9557) | 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 6) | 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 10) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 6) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 57342 a prime number?
No. 57342 = 2 × 3 × 19 × 503, so it is divisible by 2.
What are the factors of 57342?
1, 2, 3, 6, 19, 38, 57, 114, 503, 1006, 1509, 3018, 9557, 19114, 28671, 57342.
What is 57342 in binary?
1101111111111110 (hexadecimal DFFE, octal 157776).
What is the square root of 57342?
About 239.4619.
Is 57342 divisible by 3?
Yes. Its digits add up to 21, a multiple of 3.
What is special about the number 57342?
57342 is a happy number: repeatedly adding the squares of its digits reaches 1.