The number 13889
13889 is a composite number with 8 divisors. Its prime factorisation is 17 × 19 × 43. Divisors (8): 1, 17, 19, 43, 323, 731, 817, 13889.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 13889: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
13889 is composite. Its prime factorisation is
- 3
The divisors add up to 15840; without 13889 itself that is 1951, so 13889 is deficient (1951 is less than 13889). Euler's totient φ(13889) = 12096 numbers up to 13889 share no factor with it.
- 4
The digits of 13889 add up to 29, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 45 steps to reach 1.
LaTeX source of the formulas on this page
\[ 13889 = 17 \times 19 \times 43 \]
13889 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 15840 |
| Euler totient φ(n) | 12096 |
| Square | 192904321 |
| Cube | 2679248114369 |
| Square root | 117.851602 |
| Digit sum / digital root | 29 / 2 |
| Collatz steps to 1 | 45 |
| Scientific notation | 1.3889 × |
13889 in other forms
| Form | Value |
|---|---|
| In words | thirteen thousand eight hundred and eighty-nine |
| Binary (base 2) | 11011001000001 |
| Octal (base 8) | 33101 |
| Hexadecimal (base 16) | 3641 |
| Base 3 | 201001102 |
| As time | 13889 seconds = 3 h 51 min 29 s |
Is 13889 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 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 9) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 7) | 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 13889 a prime number?
No. 13889 = 17 × 19 × 43, so it is divisible by 17.
What are the factors of 13889?
1, 17, 19, 43, 323, 731, 817, 13889.
What is 13889 in binary?
11011001000001 (hexadecimal 3641, octal 33101).
What is the square root of 13889?
About 117.8516.
Is 13889 divisible by 3?
No. Its digits add up to 29, which is not a multiple of 3.
What is special about the number 13889?
13889 is a happy number: repeatedly adding the squares of its digits reaches 1.