The number 2589
2589 is a composite number with 4 divisors. Its prime factorisation is 3 × 863. Divisors (4): 1, 3, 863, 2589.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 2589: a semiprime: 3 × 863, the product of two primes.
- 2
2589 is composite. Its prime factorisation is
- 3
The divisors add up to 3456; without 2589 itself that is 867, so 2589 is deficient (867 is less than 2589). Euler's totient φ(2589) = 1724 numbers up to 2589 share no factor with it.
- 4
The digits of 2589 add up to 24, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 40 steps to reach 1.
LaTeX source of the formulas on this page
\[ 2589 = 3 \times 863 \]
2589 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 3456 |
| Euler totient φ(n) | 1724 |
| Square | 6702921 |
| Cube | 17353862469 |
| Square root | 50.882217 |
| Digit sum / digital root | 24 / 6 |
| Collatz steps to 1 | 40 |
| Scientific notation | 2.589 × |
2589 in other forms
| Form | Value |
|---|---|
| In words | two thousand five hundred and eighty-nine |
| Roman numerals | MMDLXXXIX |
| Binary (base 2) | 101000011101 |
| Octal (base 8) | 5035 |
| Hexadecimal (base 16) | A1D |
| Base 3 | 10112220 |
| As time | 2589 seconds = 43 min 9 s |
Is 2589 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 (2589 ÷ 3 = 863) | 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 6) | 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 6) | 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 4) | 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 2589 a prime number?
No. 2589 = 3 × 863, so it is divisible by 3.
What are the factors of 2589?
1, 3, 863, 2589.
What is 2589 in binary?
101000011101 (hexadecimal A1D, octal 5035).
What is the square root of 2589?
About 50.8822.
What is 2589 in Roman numerals?
MMDLXXXIX.
Is 2589 divisible by 3?
Yes. Its digits add up to 24, a multiple of 3.
What is special about the number 2589?
2589 is a semiprime: 3 × 863, the product of two primes.