The number 13989
13989 is a composite number with 4 divisors. Its prime factorisation is 3 × 4663. Divisors (4): 1, 3, 4663, 13989.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 13989: a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 3 × 4663, the product of two primes.
- 2
13989 is composite. Its prime factorisation is
- 3
The divisors add up to 18656; without 13989 itself that is 4667, so 13989 is deficient (4667 is less than 13989). Euler's totient φ(13989) = 9324 numbers up to 13989 share no factor with it.
- 4
The digits of 13989 add up to 30, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 107 steps to reach 1.
LaTeX source of the formulas on this page
\[ 13989 = 3 \times 4663 \]
13989 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 18656 |
| Euler totient φ(n) | 9324 |
| Square | 195692121 |
| Cube | 2737537080669 |
| Square root | 118.275103 |
| Digit sum / digital root | 30 / 3 |
| Collatz steps to 1 | 107 |
| Scientific notation | 1.3989 × |
13989 in other forms
| Form | Value |
|---|---|
| In words | thirteen thousand nine hundred and eighty-nine |
| Binary (base 2) | 11011010100101 |
| Octal (base 8) | 33245 |
| Hexadecimal (base 16) | 36A5 |
| Base 3 | 201012010 |
| As time | 13989 seconds = 3 h 53 min 9 s |
Is 13989 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 | Yes (13989 ÷ 3 = 4663) | 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 3) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 3) | 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 3) | 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 9) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 13989 a prime number?
No. 13989 = 3 × 4663, so it is divisible by 3.
What are the factors of 13989?
1, 3, 4663, 13989.
What is 13989 in binary?
11011010100101 (hexadecimal 36A5, octal 33245).
What is the square root of 13989?
About 118.2751.
Is 13989 divisible by 3?
Yes. Its digits add up to 30, a multiple of 3.
What is special about the number 13989?
13989 is a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 3 × 4663, the product of two primes.