The number 3280
3280 is a composite number with 20 divisors. Its prime factorisation is × 5 × 41. Divisors (20): 1, 2, 4, 5, 8, 10, 16, 20, 40, 41, 80, 82, 164, 205, 328, 410 … 3280.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
3280 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
3280 is composite. Its prime factorisation is
- 3
The divisors add up to 7812; without 3280 itself that is 4532, so 3280 is abundant (4532 is more than 3280). Euler's totient φ(3280) = 1280 numbers up to 3280 share no factor with it.
- 4
The digits of 3280 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 30 steps to reach 1.
LaTeX source of the formulas on this page
\[ 3280 = 2^{4} \times 5 \times 41 \]3280 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 20 |
| Sum of divisors | 7812 |
| Euler totient φ(n) | 1280 |
| Square | 10758400 |
| Cube | 35287552000 |
| Square root | 57.271284 (= 4√205) |
| Digit sum / digital root | 13 / 4 |
| Collatz steps to 1 | 30 |
| Scientific notation | 3.28 × |
3280 in other forms
| Form | Value |
|---|---|
| In words | three thousand two hundred and eighty |
| Roman numerals | MMMCCLXXX |
| Binary (base 2) | 110011010000 |
| Octal (base 8) | 6320 |
| Hexadecimal (base 16) | CD0 |
| Base 3 | 11111111 |
| As time | 3280 seconds = 54 min 40 s |
Is 3280 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (3280 ÷ 2 = 1640) | 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 (3280 ÷ 4 = 820) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (3280 ÷ 5 = 656) | 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 4) | 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 (3280 ÷ 8 = 410) | 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 (3280 ÷ 10 = 328) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 2) | 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 3280 a prime number?
No. 3280 = × 5 × 41, so it is divisible by 2.
What are the factors of 3280?
1, 2, 4, 5, 8, 10, 16, 20, 40, 41, 80, 82, 164, 205, 328, 410, 656, 820, 1640, 3280.
What is 3280 in binary?
110011010000 (hexadecimal CD0, octal 6320).
What is the square root of 3280?
About 57.2713, exactly 4√205.
What is 3280 in Roman numerals?
MMMCCLXXX.
Is 3280 divisible by 3?
No. Its digits add up to 13, which is not a multiple of 3.
What is special about the number 3280?
It is a composite number with 20 divisors.