The number 3260
3260 is a composite number with 12 divisors. Its prime factorisation is × 5 × 163. Divisors (12): 1, 2, 4, 5, 10, 20, 163, 326, 652, 815, 1630, 3260.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 3260: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
3260 is composite. Its prime factorisation is
- 3
The divisors add up to 6888; without 3260 itself that is 3628, so 3260 is abundant (3628 is more than 3260). Euler's totient φ(3260) = 1296 numbers up to 3260 share no factor with it.
- 4
The digits of 3260 add up to 11, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 136 steps to reach 1.
LaTeX source of the formulas on this page
\[ 3260 = 2^{2} \times 5 \times 163 \]3260 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 6888 |
| Euler totient φ(n) | 1296 |
| Square | 10627600 |
| Cube | 34645976000 |
| Square root | 57.096410 (= 2√815) |
| Digit sum / digital root | 11 / 2 |
| Collatz steps to 1 | 136 |
| Scientific notation | 3.26 × |
3260 in other forms
| Form | Value |
|---|---|
| In words | three thousand two hundred and sixty |
| Roman numerals | MMMCCLX |
| Binary (base 2) | 110010111100 |
| Octal (base 8) | 6274 |
| Hexadecimal (base 16) | CBC |
| Base 3 | 11110202 |
| As time | 3260 seconds = 54 min 20 s |
Is 3260 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (3260 ÷ 2 = 1630) | 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 | Yes (3260 ÷ 4 = 815) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (3260 ÷ 5 = 652) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 2) | 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 4) | 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 | Yes (3260 ÷ 10 = 326) | 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 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 3260 a prime number?
No. 3260 = × 5 × 163, so it is divisible by 2.
What are the factors of 3260?
1, 2, 4, 5, 10, 20, 163, 326, 652, 815, 1630, 3260.
What is 3260 in binary?
110010111100 (hexadecimal CBC, octal 6274).
What is the square root of 3260?
About 57.0964, exactly 2√815.
What is 3260 in Roman numerals?
MMMCCLX.
Is 3260 divisible by 3?
No. Its digits add up to 11, which is not a multiple of 3.
What is special about the number 3260?
3260 is a happy number: repeatedly adding the squares of its digits reaches 1.