The number 2889
2889 is a composite number with 8 divisors. Its prime factorisation is × 107. Divisors (8): 1, 3, 9, 27, 107, 321, 963, 2889.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 2889: a Harshad number: divisible by its digit sum 27.
- 2
2889 is composite. Its prime factorisation is
- 3
The divisors add up to 4320; without 2889 itself that is 1431, so 2889 is deficient (1431 is less than 2889). Euler's totient φ(2889) = 1908 numbers up to 2889 share no factor with it.
- 4
The digits of 2889 add up to 27, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 141 steps to reach 1.
LaTeX source of the formulas on this page
\[ 2889 = 3^{3} \times 107 \]2889 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 4320 |
| Euler totient φ(n) | 1908 |
| Square | 8346321 |
| Cube | 24112521369 |
| Square root | 53.749419 (= 3√321) |
| Digit sum / digital root | 27 / 9 |
| Collatz steps to 1 | 141 |
| Scientific notation | 2.889 × |
2889 in other forms
| Form | Value |
|---|---|
| In words | two thousand eight hundred and eighty-nine |
| Roman numerals | MMDCCCLXXXIX |
| Binary (base 2) | 101101001001 |
| Octal (base 8) | 5511 |
| Hexadecimal (base 16) | B49 |
| Base 3 | 10222000 |
| As time | 2889 seconds = 48 min 9 s |
Is 2889 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 (2889 ÷ 3 = 963) | 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 5) | 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 | Yes (2889 ÷ 9 = 321) | 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 9) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 2889 a prime number?
No. 2889 = × 107, so it is divisible by 3.
What are the factors of 2889?
1, 3, 9, 27, 107, 321, 963, 2889.
What is 2889 in binary?
101101001001 (hexadecimal B49, octal 5511).
What is the square root of 2889?
About 53.7494, exactly 3√321.
What is 2889 in Roman numerals?
MMDCCCLXXXIX.
Is 2889 divisible by 3?
Yes. Its digits add up to 27, a multiple of 3.
What is special about the number 2889?
2889 is a Harshad number: divisible by its digit sum 27.