The number 204
204 is a composite number with 12 divisors. Its prime factorisation is × 3 × 17. Divisors (12): 1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 102, 204.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 204: a Harshad number: divisible by its digit sum 6.
- 2
204 is composite. Its prime factorisation is
- 3
The divisors add up to 504; without 204 itself that is 300, so 204 is abundant (300 is more than 204). Euler's totient φ(204) = 64 numbers up to 204 share no factor with it.
- 4
The digits of 204 add up to 6, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 26 steps to reach 1.
LaTeX source of the formulas on this page
\[ 204 = 2^{2} \times 3 \times 17 \]204 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 504 |
| Euler totient φ(n) | 64 |
| Square | 41616 |
| Cube | 8489664 |
| Square root | 14.282857 (= 2√51) |
| Digit sum / digital root | 6 / 6 |
| Collatz steps to 1 | 26 |
| Scientific notation | 2.04 × |
204 in other forms
| Form | Value |
|---|---|
| In words | two hundred and four |
| Roman numerals | CCIV |
| Binary (base 2) | 11001100 |
| Octal (base 8) | 314 |
| Hexadecimal (base 16) | CC |
| Base 3 | 21120 |
| As time | 204 seconds = 3 min 24 s |
Is 204 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (204 ÷ 2 = 102) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (204 ÷ 3 = 68) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (204 ÷ 4 = 51) | 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 (204 ÷ 6 = 34) | 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 4) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 6) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (204 ÷ 12 = 17) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 204 a prime number?
No. 204 = × 3 × 17, so it is divisible by 2.
What are the factors of 204?
1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 102, 204.
What is 204 in binary?
11001100 (hexadecimal CC, octal 314).
What is the square root of 204?
About 14.2829, exactly 2√51.
What is 204 in Roman numerals?
CCIV.
Is 204 divisible by 3?
Yes. Its digits add up to 6, a multiple of 3.
What is special about the number 204?
204 is a Harshad number: divisible by its digit sum 6.