The number 3204
3204 is a composite number with 18 divisors. Its prime factorisation is × × 89. Divisors (18): 1, 2, 3, 4, 6, 9, 12, 18, 36, 89, 178, 267, 356, 534, 801, 1068 … 3204.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 3204: a Harshad number: divisible by its digit sum 9.
- 2
3204 is composite. Its prime factorisation is
- 3
The divisors add up to 8190; without 3204 itself that is 4986, so 3204 is abundant (4986 is more than 3204). Euler's totient φ(3204) = 1056 numbers up to 3204 share no factor with it.
- 4
The digits of 3204 add up to 9, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 61 steps to reach 1.
LaTeX source of the formulas on this page
\[ 3204 = 2^{2} \times 3^{2} \times 89 \]3204 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 18 |
| Sum of divisors | 8190 |
| Euler totient φ(n) | 1056 |
| Square | 10265616 |
| Cube | 32891033664 |
| Square root | 56.603887 (= 6√89) |
| Digit sum / digital root | 9 / 9 |
| Collatz steps to 1 | 61 |
| Scientific notation | 3.204 × |
3204 in other forms
| Form | Value |
|---|---|
| In words | three thousand two hundred and four |
| Roman numerals | MMMCCIV |
| Binary (base 2) | 110010000100 |
| Octal (base 8) | 6204 |
| Hexadecimal (base 16) | C84 |
| Base 3 | 11101200 |
| As time | 3204 seconds = 53 min 24 s |
Is 3204 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (3204 ÷ 2 = 1602) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (3204 ÷ 3 = 1068) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (3204 ÷ 4 = 801) | 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 | Yes (3204 ÷ 6 = 534) | 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 | Yes (3204 ÷ 9 = 356) | 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 3) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (3204 ÷ 12 = 267) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 3204 a prime number?
No. 3204 = × × 89, so it is divisible by 2.
What are the factors of 3204?
1, 2, 3, 4, 6, 9, 12, 18, 36, 89, 178, 267, 356, 534, 801, 1068, 1602, 3204.
What is 3204 in binary?
110010000100 (hexadecimal C84, octal 6204).
What is the square root of 3204?
About 56.6039, exactly 6√89.
What is 3204 in Roman numerals?
MMMCCIV.
Is 3204 divisible by 3?
Yes. Its digits add up to 9, a multiple of 3.
What is special about the number 3204?
3204 is a Harshad number: divisible by its digit sum 9.