The number 43801
43801 is the 4564th prime number. Its only divisors are 1 and 43801.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 43801: the 4564th prime number.
- 2
43801 is prime, so its only factors are 1 and 43801. It is the 4564th prime; the next prime is 43853 and the one before is 43793.
- 3
The divisors add up to 43802; without 43801 itself that is 1, so 43801 is deficient (1 is less than 43801). Euler's totient φ(43801) = 43800 numbers up to 43801 share no factor with it.
- 4
The digits of 43801 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 101 steps to reach 1.
43801 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 43802 |
| Euler totient φ(n) | 43800 |
| Square | 1918527601 |
| Cube | 84033427451401 |
| Square root | 209.286884 |
| Digit sum / digital root | 16 / 7 |
| Collatz steps to 1 | 101 |
| Scientific notation | 4.3801 × |
43801 in other forms
| Form | Value |
|---|---|
| In words | forty-three thousand eight hundred and one |
| Binary (base 2) | 1010101100011001 |
| Octal (base 8) | 125431 |
| Hexadecimal (base 16) | AB19 |
| Base 3 | 2020002021 |
| As time | 43801 seconds = 12 h 10 min 1 s |
Is 43801 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 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 10) | 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 43801 a prime number?
Yes. 43801 is divisible only by 1 and itself.
What are the factors of 43801?
1, 43801.
What is 43801 in binary?
1010101100011001 (hexadecimal AB19, octal 125431).
What is the square root of 43801?
About 209.2869.
Is 43801 divisible by 3?
No. Its digits add up to 16, which is not a multiple of 3.
What is special about the number 43801?
43801 is the 4564th prime number.