The number 11801
11801 is the 1414th prime number. Its only divisors are 1 and 11801.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 11801: the 1414th prime number.
- 2
11801 is prime, so its only factors are 1 and 11801. It is the 1414th prime; the next prime is 11807 and the one before is 11789.
- 3
The divisors add up to 11802; without 11801 itself that is 1, so 11801 is deficient (1 is less than 11801). Euler's totient φ(11801) = 11800 numbers up to 11801 share no factor with it.
- 4
The digits of 11801 add up to 11, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 50 steps to reach 1.
11801 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 11802 |
| Euler totient φ(n) | 11800 |
| Square | 139263601 |
| Cube | 1643449755401 |
| Square root | 108.632408 |
| Digit sum / digital root | 11 / 2 |
| Collatz steps to 1 | 50 |
| Scientific notation | 1.1801 × |
11801 in other forms
| Form | Value |
|---|---|
| In words | eleven thousand eight hundred and one |
| Binary (base 2) | 10111000011001 |
| Octal (base 8) | 27031 |
| Hexadecimal (base 16) | 2E19 |
| Base 3 | 121012002 |
| As time | 11801 seconds = 3 h 16 min 41 s |
Is 11801 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 2) | 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 5) | 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 2) | 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 5) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 11801 a prime number?
Yes. 11801 is divisible only by 1 and itself.
What are the factors of 11801?
1, 11801.
What is 11801 in binary?
10111000011001 (hexadecimal 2E19, octal 27031).
What is the square root of 11801?
About 108.6324.
Is 11801 divisible by 3?
No. Its digits add up to 11, which is not a multiple of 3.
What is special about the number 11801?
11801 is the 1414th prime number.