The number 53142
53142 is a composite number with 16 divisors. Its prime factorisation is 2 × 3 × 17 × 521. Divisors (16): 1, 2, 3, 6, 17, 34, 51, 102, 521, 1042, 1563, 3126, 8857, 17714, 26571, 53142.
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How to work it out
- 1
53142 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
53142 is composite. Its prime factorisation is
- 3
The divisors add up to 112752; without 53142 itself that is 59610, so 53142 is abundant (59610 is more than 53142). Euler's totient φ(53142) = 16640 numbers up to 53142 share no factor with it.
- 4
The digits of 53142 add up to 15, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 109 steps to reach 1.
LaTeX source of the formulas on this page
\[ 53142 = 2 \times 3 \times 17 \times 521 \]
53142 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 112752 |
| Euler totient φ(n) | 16640 |
| Square | 2824072164 |
| Cube | 150076842939288 |
| Square root | 230.525487 |
| Digit sum / digital root | 15 / 6 |
| Collatz steps to 1 | 109 |
| Scientific notation | 5.3142 × |
53142 in other forms
| Form | Value |
|---|---|
| In words | fifty-three thousand one hundred and forty-two |
| Binary (base 2) | 1100111110010110 |
| Octal (base 8) | 147626 |
| Hexadecimal (base 16) | CF96 |
| Base 3 | 2200220020 |
| As time | 53142 seconds = 14 h 45 min 42 s |
Is 53142 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (53142 ÷ 2 = 26571) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (53142 ÷ 3 = 17714) | 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 (53142 ÷ 6 = 8857) | 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 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 1) | 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 53142 a prime number?
No. 53142 = 2 × 3 × 17 × 521, so it is divisible by 2.
What are the factors of 53142?
1, 2, 3, 6, 17, 34, 51, 102, 521, 1042, 1563, 3126, 8857, 17714, 26571, 53142.
What is 53142 in binary?
1100111110010110 (hexadecimal CF96, octal 147626).
What is the square root of 53142?
About 230.5255.
Is 53142 divisible by 3?
Yes. Its digits add up to 15, a multiple of 3.
What is special about the number 53142?
It is a composite number with 16 divisors.