The number 11789
11789 is the 1413th prime number. Its only divisors are 1 and 11789.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 11789: the 1413th prime number.
- 2
11789 is prime, so its only factors are 1 and 11789. It is the 1413th prime; the next prime is 11801 and the one before is 11783.
- 3
The divisors add up to 11790; without 11789 itself that is 1, so 11789 is deficient (1 is less than 11789). Euler's totient φ(11789) = 11788 numbers up to 11789 share no factor with it.
- 4
The digits of 11789 add up to 26, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 99 steps to reach 1.
11789 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 11790 |
| Euler totient φ(n) | 11788 |
| Square | 138980521 |
| Cube | 1638441362069 |
| Square root | 108.577162 |
| Digit sum / digital root | 26 / 8 |
| Collatz steps to 1 | 99 |
| Scientific notation | 1.1789 × |
11789 in other forms
| Form | Value |
|---|---|
| In words | eleven thousand seven hundred and eighty-nine |
| Binary (base 2) | 10111000001101 |
| Octal (base 8) | 27015 |
| Hexadecimal (base 16) | 2E0D |
| Base 3 | 121011122 |
| As time | 11789 seconds = 3 h 16 min 29 s |
Is 11789 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 4) | 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 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 5) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 8) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 9) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 8) | 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 11789 a prime number?
Yes. 11789 is divisible only by 1 and itself.
What are the factors of 11789?
1, 11789.
What is 11789 in binary?
10111000001101 (hexadecimal 2E0D, octal 27015).
What is the square root of 11789?
About 108.5772.
Is 11789 divisible by 3?
No. Its digits add up to 26, which is not a multiple of 3.
What is special about the number 11789?
11789 is the 1413th prime number.