The number 3228
3228 is a composite number with 12 divisors. Its prime factorisation is × 3 × 269. Divisors (12): 1, 2, 3, 4, 6, 12, 269, 538, 807, 1076, 1614, 3228.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
3228 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
3228 is composite. Its prime factorisation is
- 3
The divisors add up to 7560; without 3228 itself that is 4332, so 3228 is abundant (4332 is more than 3228). Euler's totient φ(3228) = 1072 numbers up to 3228 share no factor with it.
- 4
The digits of 3228 add up to 15, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 74 steps to reach 1.
LaTeX source of the formulas on this page
\[ 3228 = 2^{2} \times 3 \times 269 \]3228 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 7560 |
| Euler totient φ(n) | 1072 |
| Square | 10419984 |
| Cube | 33635708352 |
| Square root | 56.815491 (= 2√807) |
| Digit sum / digital root | 15 / 6 |
| Collatz steps to 1 | 74 |
| Scientific notation | 3.228 × |
3228 in other forms
| Form | Value |
|---|---|
| In words | three thousand two hundred and twenty-eight |
| Roman numerals | MMMCCXXVIII |
| Binary (base 2) | 110010011100 |
| Octal (base 8) | 6234 |
| Hexadecimal (base 16) | C9C |
| Base 3 | 11102120 |
| As time | 3228 seconds = 53 min 48 s |
Is 3228 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (3228 ÷ 2 = 1614) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (3228 ÷ 3 = 1076) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (3228 ÷ 4 = 807) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 3) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (3228 ÷ 6 = 538) | 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 4) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 6) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 8) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 5) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (3228 ÷ 12 = 269) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 3228 a prime number?
No. 3228 = × 3 × 269, so it is divisible by 2.
What are the factors of 3228?
1, 2, 3, 4, 6, 12, 269, 538, 807, 1076, 1614, 3228.
What is 3228 in binary?
110010011100 (hexadecimal C9C, octal 6234).
What is the square root of 3228?
About 56.8155, exactly 2√807.
What is 3228 in Roman numerals?
MMMCCXXVIII.
Is 3228 divisible by 3?
Yes. Its digits add up to 15, a multiple of 3.
What is special about the number 3228?
It is a composite number with 12 divisors.