The number 32442
32442 is a composite number with 8 divisors. Its prime factorisation is 2 × 3 × 5407. Divisors (8): 1, 2, 3, 6, 5407, 10814, 16221, 32442.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 32442: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
32442 is composite. Its prime factorisation is
- 3
The divisors add up to 64896; without 32442 itself that is 32454, so 32442 is abundant (32454 is more than 32442). Euler's totient φ(32442) = 10812 numbers up to 32442 share no factor with it.
- 4
The digits of 32442 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 160 steps to reach 1.
LaTeX source of the formulas on this page
\[ 32442 = 2 \times 3 \times 5407 \]
32442 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 64896 |
| Euler totient φ(n) | 10812 |
| Square | 1052483364 |
| Cube | 34144665294888 |
| Square root | 180.116629 |
| Digit sum / digital root | 15 / 6 |
| Collatz steps to 1 | 160 |
| Scientific notation | 3.2442 × |
32442 in other forms
| Form | Value |
|---|---|
| In words | thirty-two thousand four hundred and forty-two |
| Binary (base 2) | 111111010111010 |
| Octal (base 8) | 77272 |
| Hexadecimal (base 16) | 7EBA |
| Base 3 | 1122111120 |
| As time | 32442 seconds = 9 h 0 min 42 s |
Is 32442 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (32442 ÷ 2 = 16221) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (32442 ÷ 3 = 10814) | 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 (32442 ÷ 6 = 5407) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 4) | 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 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 3) | 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 32442 a prime number?
No. 32442 = 2 × 3 × 5407, so it is divisible by 2.
What are the factors of 32442?
1, 2, 3, 6, 5407, 10814, 16221, 32442.
What is 32442 in binary?
111111010111010 (hexadecimal 7EBA, octal 77272).
What is the square root of 32442?
About 180.1166.
Is 32442 divisible by 3?
Yes. Its digits add up to 15, a multiple of 3.
What is special about the number 32442?
32442 is a happy number: repeatedly adding the squares of its digits reaches 1.