The number 49801
49801 is the 5114th prime number. Its only divisors are 1 and 49801.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 49801: the 5114th prime number.
- 2
49801 is prime, so its only factors are 1 and 49801. It is the 5114th prime; the next prime is 49807 and the one before is 49789.
- 3
The divisors add up to 49802; without 49801 itself that is 1, so 49801 is deficient (1 is less than 49801). Euler's totient φ(49801) = 49800 numbers up to 49801 share no factor with it.
- 4
The digits of 49801 add up to 22, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 96 steps to reach 1.
49801 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 49802 |
| Euler totient φ(n) | 49800 |
| Square | 2480139601 |
| Cube | 123513432269401 |
| Square root | 223.161377 |
| Digit sum / digital root | 22 / 4 |
| Collatz steps to 1 | 96 |
| Scientific notation | 4.9801 × |
49801 in other forms
| Form | Value |
|---|---|
| In words | forty-nine thousand eight hundred and one |
| Binary (base 2) | 1100001010001001 |
| Octal (base 8) | 141211 |
| Hexadecimal (base 16) | C289 |
| Base 3 | 2112022111 |
| As time | 49801 seconds = 13 h 50 min 1 s |
Is 49801 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 3) | 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 4) | 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 49801 a prime number?
Yes. 49801 is divisible only by 1 and itself.
What are the factors of 49801?
1, 49801.
What is 49801 in binary?
1100001010001001 (hexadecimal C289, octal 141211).
What is the square root of 49801?
About 223.1614.
Is 49801 divisible by 3?
No. Its digits add up to 22, which is not a multiple of 3.
What is special about the number 49801?
49801 is the 5114th prime number.