The number 32942
32942 is a composite number with 16 divisors. Its prime factorisation is 2 × 7 × 13 × 181. Divisors (16): 1, 2, 7, 13, 14, 26, 91, 181, 182, 362, 1267, 2353, 2534, 4706, 16471, 32942.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
32942 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
32942 is composite. Its prime factorisation is
- 3
The divisors add up to 61152; without 32942 itself that is 28210, so 32942 is deficient (28210 is less than 32942). Euler's totient φ(32942) = 12960 numbers up to 32942 share no factor with it.
- 4
The digits of 32942 add up to 20, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 116 steps to reach 1.
LaTeX source of the formulas on this page
\[ 32942 = 2 \times 7 \times 13 \times 181 \]
32942 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 61152 |
| Euler totient φ(n) | 12960 |
| Square | 1085175364 |
| Cube | 35747846840888 |
| Square root | 181.499311 |
| Digit sum / digital root | 20 / 2 |
| Collatz steps to 1 | 116 |
| Scientific notation | 3.2942 × |
32942 in other forms
| Form | Value |
|---|---|
| In words | thirty-two thousand nine hundred and forty-two |
| Binary (base 2) | 1000000010101110 |
| Octal (base 8) | 100256 |
| Hexadecimal (base 16) | 80AE |
| Base 3 | 1200012002 |
| As time | 32942 seconds = 9 h 9 min 2 s |
Is 32942 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (32942 ÷ 2 = 16471) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 2) | 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 2) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (32942 ÷ 7 = 4706) | 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 2) | 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 8) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 2) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 32942 a prime number?
No. 32942 = 2 × 7 × 13 × 181, so it is divisible by 2.
What are the factors of 32942?
1, 2, 7, 13, 14, 26, 91, 181, 182, 362, 1267, 2353, 2534, 4706, 16471, 32942.
What is 32942 in binary?
1000000010101110 (hexadecimal 80AE, octal 100256).
What is the square root of 32942?
About 181.4993.
Is 32942 divisible by 3?
No. Its digits add up to 20, which is not a multiple of 3.
What is special about the number 32942?
It is a composite number with 16 divisors.