The number 1204
1204 is a composite number with 12 divisors. Its prime factorisation is × 7 × 43. Divisors (12): 1, 2, 4, 7, 14, 28, 43, 86, 172, 301, 602, 1204.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 1204: a Harshad number: divisible by its digit sum 7.
- 2
1204 is composite. Its prime factorisation is
- 3
The divisors add up to 2464; without 1204 itself that is 1260, so 1204 is abundant (1260 is more than 1204). Euler's totient φ(1204) = 504 numbers up to 1204 share no factor with it.
- 4
The digits of 1204 add up to 7, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 18 steps to reach 1.
LaTeX source of the formulas on this page
\[ 1204 = 2^{2} \times 7 \times 43 \]1204 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 2464 |
| Euler totient φ(n) | 504 |
| Square | 1449616 |
| Cube | 1745337664 |
| Square root | 34.698703 (= 2√301) |
| Digit sum / digital root | 7 / 7 |
| Collatz steps to 1 | 18 |
| Scientific notation | 1.204 × |
1204 in other forms
| Form | Value |
|---|---|
| In words | one thousand two hundred and four |
| Roman numerals | MCCIV |
| Binary (base 2) | 10010110100 |
| Octal (base 8) | 2264 |
| Hexadecimal (base 16) | 4B4 |
| Base 3 | 1122121 |
| As time | 1204 seconds = 20 min 4 s |
Is 1204 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (1204 ÷ 2 = 602) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 1) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (1204 ÷ 4 = 301) | 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 4) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (1204 ÷ 7 = 172) | 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 7) | 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 5) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 1204 a prime number?
No. 1204 = × 7 × 43, so it is divisible by 2.
What are the factors of 1204?
1, 2, 4, 7, 14, 28, 43, 86, 172, 301, 602, 1204.
What is 1204 in binary?
10010110100 (hexadecimal 4B4, octal 2264).
What is the square root of 1204?
About 34.6987, exactly 2√301.
What is 1204 in Roman numerals?
MCCIV.
Is 1204 divisible by 3?
No. Its digits add up to 7, which is not a multiple of 3.
What is special about the number 1204?
1204 is a Harshad number: divisible by its digit sum 7.