The number 43201
43201 is the 4511th prime number. Its only divisors are 1 and 43201.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 43201: the 4511th prime number.
- 2
43201 is prime, so its only factors are 1 and 43201. It is the 4511th prime; the next prime is 43207 and the one before is 43189.
- 3
The divisors add up to 43202; without 43201 itself that is 1, so 43201 is deficient (1 is less than 43201). Euler's totient φ(43201) = 43200 numbers up to 43201 share no factor with it.
- 4
The digits of 43201 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 70 steps to reach 1.
43201 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 43202 |
| Euler totient φ(n) | 43200 |
| Square | 1866326401 |
| Cube | 80627166849601 |
| Square root | 207.848503 |
| Digit sum / digital root | 10 / 1 |
| Collatz steps to 1 | 70 |
| Scientific notation | 4.3201 × |
43201 in other forms
| Form | Value |
|---|---|
| In words | forty-three thousand two hundred and one |
| Binary (base 2) | 1010100011000001 |
| Octal (base 8) | 124301 |
| Hexadecimal (base 16) | A8C1 |
| Base 3 | 2012021001 |
| As time | 43201 seconds = 12 h 0 min 1 s |
Is 43201 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 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 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 4) | 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 43201 a prime number?
Yes. 43201 is divisible only by 1 and itself.
What are the factors of 43201?
1, 43201.
What is 43201 in binary?
1010100011000001 (hexadecimal A8C1, octal 124301).
What is the square root of 43201?
About 207.8485.
Is 43201 divisible by 3?
No. Its digits add up to 10, which is not a multiple of 3.
What is special about the number 43201?
43201 is the 4511th prime number.