The number 4201
4201 is the 575th prime number. Its only divisors are 1 and 4201.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 4201: the 575th prime number.
- 2
4201 is prime, so its only factors are 1 and 4201. It is the 575th prime; the next prime is 4211 and the one before is 4177.
- 3
The divisors add up to 4202; without 4201 itself that is 1, so 4201 is deficient (1 is less than 4201). Euler's totient φ(4201) = 4200 numbers up to 4201 share no factor with it.
- 4
The digits of 4201 add up to 7, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 64 steps to reach 1.
4201 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 4202 |
| Euler totient φ(n) | 4200 |
| Square | 17648401 |
| Cube | 74140932601 |
| Square root | 64.815122 |
| Digit sum / digital root | 7 / 7 |
| Collatz steps to 1 | 64 |
| Scientific notation | 4.201 × |
4201 in other forms
| Form | Value |
|---|---|
| In words | four thousand two hundred and one |
| Binary (base 2) | 1000001101001 |
| Octal (base 8) | 10151 |
| Hexadecimal (base 16) | 1069 |
| Base 3 | 12202121 |
| As time | 4201 seconds = 1 h 10 min 1 s |
Is 4201 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 1) | 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 4201 a prime number?
Yes. 4201 is divisible only by 1 and itself.
What are the factors of 4201?
1, 4201.
What is 4201 in binary?
1000001101001 (hexadecimal 1069, octal 10151).
What is the square root of 4201?
About 64.8151.
Is 4201 divisible by 3?
No. Its digits add up to 7, which is not a multiple of 3.
What is special about the number 4201?
4201 is the 575th prime number.