The number 32242
32242 is a composite number with 16 divisors. Its prime factorisation is 2 × × 47. Divisors (16): 1, 2, 7, 14, 47, 49, 94, 98, 329, 343, 658, 686, 2303, 4606, 16121, 32242.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
32242 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
32242 is composite. Its prime factorisation is
- 3
The divisors add up to 57600; without 32242 itself that is 25358, so 32242 is deficient (25358 is less than 32242). Euler's totient φ(32242) = 13524 numbers up to 32242 share no factor with it.
- 4
The digits of 32242 add up to 13, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 98 steps to reach 1.
LaTeX source of the formulas on this page
\[ 32242 = 2 \times 7^{3} \times 47 \]32242 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 57600 |
| Euler totient φ(n) | 13524 |
| Square | 1039546564 |
| Cube | 33517060316488 |
| Square root | 179.560575 (= 7√658) |
| Digit sum / digital root | 13 / 4 |
| Collatz steps to 1 | 98 |
| Scientific notation | 3.2242 × |
32242 in other forms
| Form | Value |
|---|---|
| In words | thirty-two thousand two hundred and forty-two |
| Binary (base 2) | 111110111110010 |
| Octal (base 8) | 76762 |
| Hexadecimal (base 16) | 7DF2 |
| Base 3 | 1122020011 |
| As time | 32242 seconds = 8 h 57 min 22 s |
Is 32242 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (32242 ÷ 2 = 16121) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 1) | 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 4) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (32242 ÷ 7 = 4606) | 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 4) | 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 10) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 32242 a prime number?
No. 32242 = 2 × × 47, so it is divisible by 2.
What are the factors of 32242?
1, 2, 7, 14, 47, 49, 94, 98, 329, 343, 658, 686, 2303, 4606, 16121, 32242.
What is 32242 in binary?
111110111110010 (hexadecimal 7DF2, octal 76762).
What is the square root of 32242?
About 179.5606, exactly 7√658.
Is 32242 divisible by 3?
No. Its digits add up to 13, which is not a multiple of 3.
What is special about the number 32242?
It is a composite number with 16 divisors.