The number 43481
43481 is the 4532nd prime number. Its only divisors are 1 and 43481.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 43481: the 4532nd prime number.
- 2
43481 is prime, so its only factors are 1 and 43481. It is the 4532nd prime; the next prime is 43487 and the one before is 43457.
- 3
The divisors add up to 43482; without 43481 itself that is 1, so 43481 is deficient (1 is less than 43481). Euler's totient φ(43481) = 43480 numbers up to 43481 share no factor with it.
- 4
The digits of 43481 add up to 20, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 119 steps to reach 1.
43481 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 43482 |
| Euler totient φ(n) | 43480 |
| Square | 1890597361 |
| Cube | 82205063853641 |
| Square root | 208.520982 |
| Digit sum / digital root | 20 / 2 |
| Collatz steps to 1 | 119 |
| Scientific notation | 4.3481 × |
43481 in other forms
| Form | Value |
|---|---|
| In words | forty-three thousand four hundred and eighty-one |
| Binary (base 2) | 1010100111011001 |
| Octal (base 8) | 124731 |
| Hexadecimal (base 16) | A9D9 |
| Base 3 | 2012122102 |
| As time | 43481 seconds = 12 h 4 min 41 s |
Is 43481 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 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 | No (remainder 2) | 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 5) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 43481 a prime number?
Yes. 43481 is divisible only by 1 and itself.
What are the factors of 43481?
1, 43481.
What is 43481 in binary?
1010100111011001 (hexadecimal A9D9, octal 124731).
What is the square root of 43481?
About 208.5210.
Is 43481 divisible by 3?
No. Its digits add up to 20, which is not a multiple of 3.
What is special about the number 43481?
43481 is the 4532nd prime number.