The number 49201
49201 is a twin prime (49199 and 49201 are both prime) and the 5058th prime number. Its only divisors are 1 and 49201.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 49201: a twin prime (49199 and 49201 are both prime); the 5058th prime number.
- 2
49201 is prime, so its only factors are 1 and 49201. It is the 5058th prime; the next prime is 49207 and the one before is 49199.
- 3
The divisors add up to 49202; without 49201 itself that is 1, so 49201 is deficient (1 is less than 49201). Euler's totient φ(49201) = 49200 numbers up to 49201 share no factor with it.
- 4
The digits of 49201 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 233 steps to reach 1.
49201 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 49202 |
| Euler totient φ(n) | 49200 |
| Square | 2420738401 |
| Cube | 119102750067601 |
| Square root | 221.812984 |
| Digit sum / digital root | 16 / 7 |
| Collatz steps to 1 | 233 |
| Scientific notation | 4.9201 × |
49201 in other forms
| Form | Value |
|---|---|
| In words | forty-nine thousand two hundred and one |
| Binary (base 2) | 1100000000110001 |
| Octal (base 8) | 140061 |
| Hexadecimal (base 16) | C031 |
| Base 3 | 2111111021 |
| As time | 49201 seconds = 13 h 40 min 1 s |
Is 49201 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 5) | 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 9) | 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 49201 a prime number?
Yes. 49201 is divisible only by 1 and itself.
What are the factors of 49201?
1, 49201.
What is 49201 in binary?
1100000000110001 (hexadecimal C031, octal 140061).
What is the square root of 49201?
About 221.8130.
Is 49201 divisible by 3?
No. Its digits add up to 16, which is not a multiple of 3.
What is special about the number 49201?
49201 is a twin prime (49199 and 49201 are both prime); the 5058th prime number.