The number 12989
12989 is a composite number with 4 divisors. Its prime factorisation is 31 × 419. Divisors (4): 1, 31, 419, 12989.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 12989: a semiprime: 31 × 419, the product of two primes.
- 2
12989 is composite. Its prime factorisation is
- 3
The divisors add up to 13440; without 12989 itself that is 451, so 12989 is deficient (451 is less than 12989). Euler's totient φ(12989) = 12540 numbers up to 12989 share no factor with it.
- 4
The digits of 12989 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 50 steps to reach 1.
LaTeX source of the formulas on this page
\[ 12989 = 31 \times 419 \]
12989 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 13440 |
| Euler totient φ(n) | 12540 |
| Square | 168714121 |
| Cube | 2191427717669 |
| Square root | 113.969294 |
| Digit sum / digital root | 29 / 2 |
| Collatz steps to 1 | 50 |
| Scientific notation | 1.2989 × |
12989 in other forms
| Form | Value |
|---|---|
| In words | twelve thousand nine hundred and eighty-nine |
| Binary (base 2) | 11001010111101 |
| Octal (base 8) | 31275 |
| Hexadecimal (base 16) | 32BD |
| Base 3 | 122211002 |
| As time | 12989 seconds = 3 h 36 min 29 s |
Is 12989 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 4) | 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 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 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 12989 a prime number?
No. 12989 = 31 × 419, so it is divisible by 31.
What are the factors of 12989?
1, 31, 419, 12989.
What is 12989 in binary?
11001010111101 (hexadecimal 32BD, octal 31275).
What is the square root of 12989?
About 113.9693.
Is 12989 divisible by 3?
No. Its digits add up to 29, which is not a multiple of 3.
What is special about the number 12989?
12989 is a semiprime: 31 × 419, the product of two primes.