The number 7204
7204 is a composite number with 6 divisors. Its prime factorisation is × 1801. Divisors (6): 1, 2, 4, 1801, 3602, 7204.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
7204 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
7204 is composite. Its prime factorisation is
- 3
The divisors add up to 12614; without 7204 itself that is 5410, so 7204 is deficient (5410 is less than 7204). Euler's totient φ(7204) = 3600 numbers up to 7204 share no factor with it.
- 4
The digits of 7204 add up to 13, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 163 steps to reach 1.
LaTeX source of the formulas on this page
\[ 7204 = 2^{2} \times 1801 \]7204 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 6 |
| Sum of divisors | 12614 |
| Euler totient φ(n) | 3600 |
| Square | 51897616 |
| Cube | 373870425664 |
| Square root | 84.876381 (= 2√1801) |
| Digit sum / digital root | 13 / 4 |
| Collatz steps to 1 | 163 |
| Scientific notation | 7.204 × |
7204 in other forms
| Form | Value |
|---|---|
| In words | seven thousand two hundred and four |
| Binary (base 2) | 1110000100100 |
| Octal (base 8) | 16044 |
| Hexadecimal (base 16) | 1C24 |
| Base 3 | 100212211 |
| As time | 7204 seconds = 2 h 0 min 4 s |
Is 7204 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (7204 ÷ 2 = 3602) | 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 (7204 ÷ 4 = 1801) | 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 | 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 4) | 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 10) | 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 7204 a prime number?
No. 7204 = × 1801, so it is divisible by 2.
What are the factors of 7204?
1, 2, 4, 1801, 3602, 7204.
What is 7204 in binary?
1110000100100 (hexadecimal 1C24, octal 16044).
What is the square root of 7204?
About 84.8764, exactly 2√1801.
Is 7204 divisible by 3?
No. Its digits add up to 13, which is not a multiple of 3.
What is special about the number 7204?
It is a composite number with 6 divisors.