The number 43441
43441 is the 4529th prime number. Its only divisors are 1 and 43441.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 43441: the 4529th prime number.
- 2
43441 is prime, so its only factors are 1 and 43441. It is the 4529th prime; the next prime is 43451 and the one before is 43427.
- 3
The divisors add up to 43442; without 43441 itself that is 1, so 43441 is deficient (1 is less than 43441). Euler's totient φ(43441) = 43440 numbers up to 43441 share no factor with it.
- 4
The digits of 43441 add up to 16, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 163 steps to reach 1.
43441 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 43442 |
| Euler totient φ(n) | 43440 |
| Square | 1887120481 |
| Cube | 81978400815121 |
| Square root | 208.425046 |
| Digit sum / digital root | 16 / 7 |
| Collatz steps to 1 | 163 |
| Scientific notation | 4.3441 × |
43441 in other forms
| Form | Value |
|---|---|
| In words | forty-three thousand four hundred and forty-one |
| Binary (base 2) | 1010100110110001 |
| Octal (base 8) | 124661 |
| Hexadecimal (base 16) | A9B1 |
| Base 3 | 2012120221 |
| As time | 43441 seconds = 12 h 4 min 1 s |
Is 43441 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 6) | 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 7) | 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 1) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 43441 a prime number?
Yes. 43441 is divisible only by 1 and itself.
What are the factors of 43441?
1, 43441.
What is 43441 in binary?
1010100110110001 (hexadecimal A9B1, octal 124661).
What is the square root of 43441?
About 208.4250.
Is 43441 divisible by 3?
No. Its digits add up to 16, which is not a multiple of 3.
What is special about the number 43441?
43441 is the 4529th prime number.