The number 2585
2585 is a composite number with 8 divisors. Its prime factorisation is 5 × 11 × 47. Divisors (8): 1, 5, 11, 47, 55, 235, 517, 2585.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
2585 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
2585 is composite. Its prime factorisation is
- 3
The divisors add up to 3456; without 2585 itself that is 871, so 2585 is deficient (871 is less than 2585). Euler's totient φ(2585) = 1840 numbers up to 2585 share no factor with it.
- 4
The digits of 2585 add up to 20, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 53 steps to reach 1.
LaTeX source of the formulas on this page
\[ 2585 = 5 \times 11 \times 47 \]
2585 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 3456 |
| Euler totient φ(n) | 1840 |
| Square | 6682225 |
| Cube | 17273551625 |
| Square root | 50.842895 |
| Digit sum / digital root | 20 / 2 |
| Collatz steps to 1 | 53 |
| Scientific notation | 2.585 × |
2585 in other forms
| Form | Value |
|---|---|
| In words | two thousand five hundred and eighty-five |
| Roman numerals | MMDLXXXV |
| Binary (base 2) | 101000011001 |
| Octal (base 8) | 5031 |
| Hexadecimal (base 16) | A19 |
| Base 3 | 10112202 |
| As time | 2585 seconds = 43 min 5 s |
Is 2585 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 | Yes (2585 ÷ 5 = 517) | 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 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 2) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 5) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (2585 ÷ 11 = 235) | 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 2585 a prime number?
No. 2585 = 5 × 11 × 47, so it is divisible by 5.
What are the factors of 2585?
1, 5, 11, 47, 55, 235, 517, 2585.
What is 2585 in binary?
101000011001 (hexadecimal A19, octal 5031).
What is the square root of 2585?
About 50.8429.
What is 2585 in Roman numerals?
MMDLXXXV.
Is 2585 divisible by 3?
No. Its digits add up to 20, which is not a multiple of 3.
What is special about the number 2585?
It is a composite number with 8 divisors.