The number 3270
3270 is a composite number with 16 divisors. Its prime factorisation is 2 × 3 × 5 × 109. Divisors (16): 1, 2, 3, 5, 6, 10, 15, 30, 109, 218, 327, 545, 654, 1090, 1635, 3270.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
3270 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
3270 is composite. Its prime factorisation is
- 3
The divisors add up to 7920; without 3270 itself that is 4650, so 3270 is abundant (4650 is more than 3270). Euler's totient φ(3270) = 864 numbers up to 3270 share no factor with it.
- 4
The digits of 3270 add up to 12, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 43 steps to reach 1.
LaTeX source of the formulas on this page
\[ 3270 = 2 \times 3 \times 5 \times 109 \]
3270 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 7920 |
| Euler totient φ(n) | 864 |
| Square | 10692900 |
| Cube | 34965783000 |
| Square root | 57.183914 |
| Digit sum / digital root | 12 / 3 |
| Collatz steps to 1 | 43 |
| Scientific notation | 3.27 × |
3270 in other forms
| Form | Value |
|---|---|
| In words | three thousand two hundred and seventy |
| Roman numerals | MMMCCLXX |
| Binary (base 2) | 110011000110 |
| Octal (base 8) | 6306 |
| Hexadecimal (base 16) | CC6 |
| Base 3 | 11111010 |
| As time | 3270 seconds = 54 min 30 s |
Is 3270 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (3270 ÷ 2 = 1635) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (3270 ÷ 3 = 1090) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 2) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (3270 ÷ 5 = 654) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (3270 ÷ 6 = 545) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 1) | 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 6) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 3) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (3270 ÷ 10 = 327) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 3) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 6) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 3270 a prime number?
No. 3270 = 2 × 3 × 5 × 109, so it is divisible by 2.
What are the factors of 3270?
1, 2, 3, 5, 6, 10, 15, 30, 109, 218, 327, 545, 654, 1090, 1635, 3270.
What is 3270 in binary?
110011000110 (hexadecimal CC6, octal 6306).
What is the square root of 3270?
About 57.1839.
What is 3270 in Roman numerals?
MMMCCLXX.
Is 3270 divisible by 3?
Yes. Its digits add up to 12, a multiple of 3.
What is special about the number 3270?
It is a composite number with 16 divisors.