The number 57642
57642 is a composite number with 16 divisors. Its prime factorisation is 2 × 3 × 13 × 739. Divisors (16): 1, 2, 3, 6, 13, 26, 39, 78, 739, 1478, 2217, 4434, 9607, 19214, 28821, 57642.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 57642: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
57642 is composite. Its prime factorisation is
- 3
The divisors add up to 124320; without 57642 itself that is 66678, so 57642 is abundant (66678 is more than 57642). Euler's totient φ(57642) = 17712 numbers up to 57642 share no factor with it.
- 4
The digits of 57642 add up to 24, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 166 steps to reach 1.
LaTeX source of the formulas on this page
\[ 57642 = 2 \times 3 \times 13 \times 739 \]
57642 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 124320 |
| Euler totient φ(n) | 17712 |
| Square | 3322600164 |
| Cube | 191521318653288 |
| Square root | 240.087484 |
| Digit sum / digital root | 24 / 6 |
| Collatz steps to 1 | 166 |
| Scientific notation | 5.7642 × |
57642 in other forms
| Form | Value |
|---|---|
| In words | fifty-seven thousand six hundred and forty-two |
| Binary (base 2) | 1110000100101010 |
| Octal (base 8) | 160452 |
| Hexadecimal (base 16) | E12A |
| Base 3 | 2221001220 |
| As time | 57642 seconds = 16 h 0 min 42 s |
Is 57642 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (57642 ÷ 2 = 28821) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (57642 ÷ 3 = 19214) | 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 (57642 ÷ 6 = 9607) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 4) | 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 6) | 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 2) | 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 57642 a prime number?
No. 57642 = 2 × 3 × 13 × 739, so it is divisible by 2.
What are the factors of 57642?
1, 2, 3, 6, 13, 26, 39, 78, 739, 1478, 2217, 4434, 9607, 19214, 28821, 57642.
What is 57642 in binary?
1110000100101010 (hexadecimal E12A, octal 160452).
What is the square root of 57642?
About 240.0875.
Is 57642 divisible by 3?
Yes. Its digits add up to 24, a multiple of 3.
What is special about the number 57642?
57642 is a happy number: repeatedly adding the squares of its digits reaches 1.