The number 32441
32441 is a twin prime (32441 and 32443 are both prime) and the 3482nd prime number. Its only divisors are 1 and 32441.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 32441: a twin prime (32441 and 32443 are both prime); the 3482nd prime number.
- 2
32441 is prime, so its only factors are 1 and 32441. It is the 3482nd prime; the next prime is 32443 and the one before is 32429.
- 3
The divisors add up to 32442; without 32441 itself that is 1, so 32441 is deficient (1 is less than 32441). Euler's totient φ(32441) = 32440 numbers up to 32441 share no factor with it.
- 4
The digits of 32441 add up to 14, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 147 steps to reach 1.
32441 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 32442 |
| Euler totient φ(n) | 32440 |
| Square | 1052418481 |
| Cube | 34141507942121 |
| Square root | 180.113853 |
| Digit sum / digital root | 14 / 5 |
| Collatz steps to 1 | 147 |
| Scientific notation | 3.2441 × |
32441 in other forms
| Form | Value |
|---|---|
| In words | thirty-two thousand four hundred and forty-one |
| Binary (base 2) | 111111010111001 |
| Octal (base 8) | 77271 |
| Hexadecimal (base 16) | 7EB9 |
| Base 3 | 1122111112 |
| As time | 32441 seconds = 9 h 0 min 41 s |
Is 32441 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 2) | 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 5) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 3) | 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 5) | 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 2) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 5) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 32441 a prime number?
Yes. 32441 is divisible only by 1 and itself.
What are the factors of 32441?
1, 32441.
What is 32441 in binary?
111111010111001 (hexadecimal 7EB9, octal 77271).
What is the square root of 32441?
About 180.1139.
Is 32441 divisible by 3?
No. Its digits add up to 14, which is not a multiple of 3.
What is special about the number 32441?
32441 is a twin prime (32441 and 32443 are both prime); the 3482nd prime number.