The number 4801
4801 is a twin prime (4799 and 4801 are both prime) and the 647th prime number. Its only divisors are 1 and 4801.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 4801: a twin prime (4799 and 4801 are both prime); the 647th prime number.
- 2
4801 is prime, so its only factors are 1 and 4801. It is the 647th prime; the next prime is 4813 and the one before is 4799.
- 3
The divisors add up to 4802; without 4801 itself that is 1, so 4801 is deficient (1 is less than 4801). Euler's totient φ(4801) = 4800 numbers up to 4801 share no factor with it.
- 4
The digits of 4801 add up to 13, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 121 steps to reach 1.
4801 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 4802 |
| Euler totient φ(n) | 4800 |
| Square | 23049601 |
| Cube | 110661134401 |
| Square root | 69.289249 |
| Digit sum / digital root | 13 / 4 |
| Collatz steps to 1 | 121 |
| Scientific notation | 4.801 × |
4801 in other forms
| Form | Value |
|---|---|
| In words | four thousand eight hundred and one |
| Binary (base 2) | 1001011000001 |
| Octal (base 8) | 11301 |
| Hexadecimal (base 16) | 12C1 |
| Base 3 | 20120211 |
| As time | 4801 seconds = 1 h 20 min 1 s |
Is 4801 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 6) | 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 5) | 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 4801 a prime number?
Yes. 4801 is divisible only by 1 and itself.
What are the factors of 4801?
1, 4801.
What is 4801 in binary?
1001011000001 (hexadecimal 12C1, octal 11301).
What is the square root of 4801?
About 69.2892.
Is 4801 divisible by 3?
No. Its digits add up to 13, which is not a multiple of 3.
What is special about the number 4801?
4801 is a twin prime (4799 and 4801 are both prime); the 647th prime number.