The number 32041
32041 is a perfect square (179²). Its prime factorisation is . Divisors (3): 1, 179, 32041.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 32041: a perfect square (179²); the square of a prime (179²).
- 2
32041 is composite. Its prime factorisation is
- 3
The divisors add up to 32221; without 32041 itself that is 180, so 32041 is deficient (180 is less than 32041). Euler's totient φ(32041) = 31862 numbers up to 32041 share no factor with it.
- 4
The digits of 32041 add up to 10, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 98 steps to reach 1.
LaTeX source of the formulas on this page
\[ 32041 = 179^{2} \]32041 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 3 |
| Sum of divisors | 32221 |
| Euler totient φ(n) | 31862 |
| Square | 1026625681 |
| Cube | 32894113444921 |
| Square root | 179 |
| Digit sum / digital root | 10 / 1 |
| Collatz steps to 1 | 98 |
| Scientific notation | 3.2041 × |
| Perfect power |
32041 in other forms
| Form | Value |
|---|---|
| In words | thirty-two thousand and forty-one |
| Binary (base 2) | 111110100101001 |
| Octal (base 8) | 76451 |
| Hexadecimal (base 16) | 7D29 |
| Base 3 | 1121221201 |
| As time | 32041 seconds = 8 h 54 min 1 s |
Is 32041 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 | No (remainder 1) | 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 1) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 2) | 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 | No (remainder 1) | 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 9) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 1) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 32041 a prime number?
No. 32041 = , so it is divisible by 179.
What are the factors of 32041?
1, 179, 32041.
What is 32041 in binary?
111110100101001 (hexadecimal 7D29, octal 76451).
What is the square root of 32041?
179, because 179 × 179 = 32041.
Is 32041 divisible by 3?
No. Its digits add up to 10, which is not a multiple of 3.
What is special about the number 32041?
32041 is a perfect square (179²); the square of a prime (179²).