The number 12889
12889 is the 1533rd prime number. Its only divisors are 1 and 12889.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 12889: the 1533rd prime number.
- 2
12889 is prime, so its only factors are 1 and 12889. It is the 1533rd prime; the next prime is 12893 and the one before is 12853.
- 3
The divisors add up to 12890; without 12889 itself that is 1, so 12889 is deficient (1 is less than 12889). Euler's totient φ(12889) = 12888 numbers up to 12889 share no factor with it.
- 4
The digits of 12889 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 76 steps to reach 1.
12889 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 12890 |
| Euler totient φ(n) | 12888 |
| Square | 166126321 |
| Cube | 2141202151369 |
| Square root | 113.529732 |
| Digit sum / digital root | 28 / 1 |
| Collatz steps to 1 | 76 |
| Scientific notation | 1.2889 × |
12889 in other forms
| Form | Value |
|---|---|
| In words | twelve thousand eight hundred and eighty-nine |
| Binary (base 2) | 11001001011001 |
| Octal (base 8) | 31131 |
| Hexadecimal (base 16) | 3259 |
| Base 3 | 122200101 |
| As time | 12889 seconds = 3 h 34 min 49 s |
Is 12889 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 2) | 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 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 8) | 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 12889 a prime number?
Yes. 12889 is divisible only by 1 and itself.
What are the factors of 12889?
1, 12889.
What is 12889 in binary?
11001001011001 (hexadecimal 3259, octal 31131).
What is the square root of 12889?
About 113.5297.
Is 12889 divisible by 3?
No. Its digits add up to 28, which is not a multiple of 3.
What is special about the number 12889?
12889 is the 1533rd prime number.