The number 32841
32841 is a composite number with 12 divisors. Its prime factorisation is × 41 × 89. Divisors (12): 1, 3, 9, 41, 89, 123, 267, 369, 801, 3649, 10947, 32841.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 32841: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
32841 is composite. Its prime factorisation is
- 3
The divisors add up to 49140; without 32841 itself that is 16299, so 32841 is deficient (16299 is less than 32841). Euler's totient φ(32841) = 21120 numbers up to 32841 share no factor with it.
- 4
The digits of 32841 add up to 18, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 98 steps to reach 1.
LaTeX source of the formulas on this page
\[ 32841 = 3^{2} \times 41 \times 89 \]32841 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 49140 |
| Euler totient φ(n) | 21120 |
| Square | 1078531281 |
| Cube | 35420045799321 |
| Square root | 181.220860 (= 3√3649) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 98 |
| Scientific notation | 3.2841 × |
32841 in other forms
| Form | Value |
|---|---|
| In words | thirty-two thousand eight hundred and forty-one |
| Binary (base 2) | 1000000001001001 |
| Octal (base 8) | 100111 |
| Hexadecimal (base 16) | 8049 |
| Base 3 | 1200001100 |
| As time | 32841 seconds = 9 h 7 min 21 s |
Is 32841 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | No (remainder 1) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (32841 ÷ 3 = 10947) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 1) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 1) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 3) | 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 1) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (32841 ÷ 9 = 3649) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 1) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 6) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 9) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 32841 a prime number?
No. 32841 = × 41 × 89, so it is divisible by 3.
What are the factors of 32841?
1, 3, 9, 41, 89, 123, 267, 369, 801, 3649, 10947, 32841.
What is 32841 in binary?
1000000001001001 (hexadecimal 8049, octal 100111).
What is the square root of 32841?
About 181.2209, exactly 3√3649.
Is 32841 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 32841?
32841 is a happy number: repeatedly adding the squares of its digits reaches 1.