The number 32422
32422 is a composite number with 16 divisors. Its prime factorisation is 2 × 13 × 29 × 43. Divisors (16): 1, 2, 13, 26, 29, 43, 58, 86, 377, 559, 754, 1118, 1247, 2494, 16211, 32422.
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How to work it out
- 1
What is special about 32422: a Harshad number: divisible by its digit sum 13.
- 2
32422 is composite. Its prime factorisation is
- 3
The divisors add up to 55440; without 32422 itself that is 23018, so 32422 is deficient (23018 is less than 32422). Euler's totient φ(32422) = 14112 numbers up to 32422 share no factor with it.
- 4
The digits of 32422 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 72 steps to reach 1.
LaTeX source of the formulas on this page
\[ 32422 = 2 \times 13 \times 29 \times 43 \]
32422 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 55440 |
| Euler totient φ(n) | 14112 |
| Square | 1051186084 |
| Cube | 34081555215448 |
| Square root | 180.061101 |
| Digit sum / digital root | 13 / 4 |
| Collatz steps to 1 | 72 |
| Scientific notation | 3.2422 × |
32422 in other forms
| Form | Value |
|---|---|
| In words | thirty-two thousand four hundred and twenty-two |
| Binary (base 2) | 111111010100110 |
| Octal (base 8) | 77246 |
| Hexadecimal (base 16) | 7EA6 |
| Base 3 | 1122110211 |
| As time | 32422 seconds = 9 h 0 min 22 s |
Is 32422 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (32422 ÷ 2 = 16211) | 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 | 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 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 5) | 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 32422 a prime number?
No. 32422 = 2 × 13 × 29 × 43, so it is divisible by 2.
What are the factors of 32422?
1, 2, 13, 26, 29, 43, 58, 86, 377, 559, 754, 1118, 1247, 2494, 16211, 32422.
What is 32422 in binary?
111111010100110 (hexadecimal 7EA6, octal 77246).
What is the square root of 32422?
About 180.0611.
Is 32422 divisible by 3?
No. Its digits add up to 13, which is not a multiple of 3.
What is special about the number 32422?
32422 is a Harshad number: divisible by its digit sum 13.