The number 32142
32142 is a composite number with 16 divisors. Its prime factorisation is 2 × 3 × 11 × 487. Divisors (16): 1, 2, 3, 6, 11, 22, 33, 66, 487, 974, 1461, 2922, 5357, 10714, 16071, 32142.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
32142 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
32142 is composite. Its prime factorisation is
- 3
The divisors add up to 70272; without 32142 itself that is 38130, so 32142 is abundant (38130 is more than 32142). Euler's totient φ(32142) = 9720 numbers up to 32142 share no factor with it.
- 4
The digits of 32142 add up to 12, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 46 steps to reach 1.
LaTeX source of the formulas on this page
\[ 32142 = 2 \times 3 \times 11 \times 487 \]
32142 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 70272 |
| Euler totient φ(n) | 9720 |
| Square | 1033108164 |
| Cube | 33206162607288 |
| Square root | 179.281901 |
| Digit sum / digital root | 12 / 3 |
| Collatz steps to 1 | 46 |
| Scientific notation | 3.2142 × |
32142 in other forms
| Form | Value |
|---|---|
| In words | thirty-two thousand one hundred and forty-two |
| Binary (base 2) | 111110110001110 |
| Octal (base 8) | 76616 |
| Hexadecimal (base 16) | 7D8E |
| Base 3 | 1122002110 |
| As time | 32142 seconds = 8 h 55 min 42 s |
Is 32142 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (32142 ÷ 2 = 16071) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (32142 ÷ 3 = 10714) | 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 (32142 ÷ 6 = 5357) | 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 | Yes (32142 ÷ 11 = 2922) | 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 32142 a prime number?
No. 32142 = 2 × 3 × 11 × 487, so it is divisible by 2.
What are the factors of 32142?
1, 2, 3, 6, 11, 22, 33, 66, 487, 974, 1461, 2922, 5357, 10714, 16071, 32142.
What is 32142 in binary?
111110110001110 (hexadecimal 7D8E, octal 76616).
What is the square root of 32142?
About 179.2819.
Is 32142 divisible by 3?
Yes. Its digits add up to 12, a multiple of 3.
What is special about the number 32142?
It is a composite number with 16 divisors.