The number 3224
3224 is a composite number with 16 divisors. Its prime factorisation is × 13 × 31. Divisors (16): 1, 2, 4, 8, 13, 26, 31, 52, 62, 104, 124, 248, 403, 806, 1612, 3224.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
3224 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
3224 is composite. Its prime factorisation is
- 3
The divisors add up to 6720; without 3224 itself that is 3496, so 3224 is abundant (3496 is more than 3224). Euler's totient φ(3224) = 1440 numbers up to 3224 share no factor with it.
- 4
The digits of 3224 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 22 steps to reach 1.
LaTeX source of the formulas on this page
\[ 3224 = 2^{3} \times 13 \times 31 \]3224 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 6720 |
| Euler totient φ(n) | 1440 |
| Square | 10394176 |
| Cube | 33510823424 |
| Square root | 56.780278 (= 2√806) |
| Digit sum / digital root | 11 / 2 |
| Collatz steps to 1 | 22 |
| Scientific notation | 3.224 × |
3224 in other forms
| Form | Value |
|---|---|
| In words | three thousand two hundred and twenty-four |
| Roman numerals | MMMCCXXIV |
| Binary (base 2) | 110010011000 |
| Octal (base 8) | 6230 |
| Hexadecimal (base 16) | C98 |
| Base 3 | 11102102 |
| As time | 3224 seconds = 53 min 44 s |
Is 3224 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (3224 ÷ 2 = 1612) | 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 (3224 ÷ 4 = 806) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 4) | 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 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 (3224 ÷ 8 = 403) | 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 | No (remainder 4) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 1) | 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 3224 a prime number?
No. 3224 = × 13 × 31, so it is divisible by 2.
What are the factors of 3224?
1, 2, 4, 8, 13, 26, 31, 52, 62, 104, 124, 248, 403, 806, 1612, 3224.
What is 3224 in binary?
110010011000 (hexadecimal C98, octal 6230).
What is the square root of 3224?
About 56.7803, exactly 2√806.
What is 3224 in Roman numerals?
MMMCCXXIV.
Is 3224 divisible by 3?
No. Its digits add up to 11, which is not a multiple of 3.
What is special about the number 3224?
It is a composite number with 16 divisors.