The number 2560
2560 is a composite number with 20 divisors. Its prime factorisation is × 5. Divisors (20): 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 128, 160, 256, 320 … 2560.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
2560 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
2560 is composite. Its prime factorisation is
- 3
The divisors add up to 6138; without 2560 itself that is 3578, so 2560 is abundant (3578 is more than 2560). Euler's totient φ(2560) = 1024 numbers up to 2560 share no factor with it.
- 4
The digits of 2560 add up to 13, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 14 steps to reach 1.
LaTeX source of the formulas on this page
\[ 2560 = 2^{9} \times 5 \]2560 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 20 |
| Sum of divisors | 6138 |
| Euler totient φ(n) | 1024 |
| Square | 6553600 |
| Cube | 16777216000 |
| Square root | 50.596443 (= 16√10) |
| Digit sum / digital root | 13 / 4 |
| Collatz steps to 1 | 14 |
| Scientific notation | 2.56 × |
2560 in other forms
| Form | Value |
|---|---|
| In words | two thousand five hundred and sixty |
| Roman numerals | MMDLX |
| Binary (base 2) | 101000000000 |
| Octal (base 8) | 5000 |
| Hexadecimal (base 16) | A00 |
| Base 3 | 10111211 |
| As time | 2560 seconds = 42 min 40 s |
Is 2560 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (2560 ÷ 2 = 1280) | 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 | Yes (2560 ÷ 4 = 640) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (2560 ÷ 5 = 512) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 4) | 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 | Yes (2560 ÷ 8 = 320) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 4) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (2560 ÷ 10 = 256) | 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 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 2560 a prime number?
No. 2560 = × 5, so it is divisible by 2.
What are the factors of 2560?
1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 128, 160, 256, 320, 512, 640, 1280, 2560.
What is 2560 in binary?
101000000000 (hexadecimal A00, octal 5000).
What is the square root of 2560?
About 50.5964, exactly 16√10.
What is 2560 in Roman numerals?
MMDLX.
Is 2560 divisible by 3?
No. Its digits add up to 13, which is not a multiple of 3.
What is special about the number 2560?
It is a composite number with 20 divisors.