The number 13789
13789 is the 1631st prime number. Its only divisors are 1 and 13789.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 13789: the 1631st prime number.
- 2
13789 is prime, so its only factors are 1 and 13789. It is the 1631st prime; the next prime is 13799 and the one before is 13781.
- 3
The divisors add up to 13790; without 13789 itself that is 1, so 13789 is deficient (1 is less than 13789). Euler's totient φ(13789) = 13788 numbers up to 13789 share no factor with it.
- 4
The digits of 13789 add up to 28, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 58 steps to reach 1.
13789 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 13790 |
| Euler totient φ(n) | 13788 |
| Square | 190136521 |
| Cube | 2621792488069 |
| Square root | 117.426573 |
| Digit sum / digital root | 28 / 1 |
| Collatz steps to 1 | 58 |
| Scientific notation | 1.3789 × |
13789 in other forms
| Form | Value |
|---|---|
| In words | thirteen thousand seven hundred and eighty-nine |
| Binary (base 2) | 11010111011101 |
| Octal (base 8) | 32735 |
| Hexadecimal (base 16) | 35DD |
| Base 3 | 200220201 |
| As time | 13789 seconds = 3 h 49 min 49 s |
Is 13789 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 4) | 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 5) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 1) | 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 6) | 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 13789 a prime number?
Yes. 13789 is divisible only by 1 and itself.
What are the factors of 13789?
1, 13789.
What is 13789 in binary?
11010111011101 (hexadecimal 35DD, octal 32735).
What is the square root of 13789?
About 117.4266.
Is 13789 divisible by 3?
No. Its digits add up to 28, which is not a multiple of 3.
What is special about the number 13789?
13789 is the 1631st prime number.