The number 7304
7304 is a composite number with 16 divisors. Its prime factorisation is × 11 × 83. Divisors (16): 1, 2, 4, 8, 11, 22, 44, 83, 88, 166, 332, 664, 913, 1826, 3652, 7304.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
7304 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
7304 is composite. Its prime factorisation is
- 3
The divisors add up to 15120; without 7304 itself that is 7816, so 7304 is abundant (7816 is more than 7304). Euler's totient φ(7304) = 3280 numbers up to 7304 share no factor with it.
- 4
The digits of 7304 add up to 14, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 132 steps to reach 1.
LaTeX source of the formulas on this page
\[ 7304 = 2^{3} \times 11 \times 83 \]7304 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 15120 |
| Euler totient φ(n) | 3280 |
| Square | 53348416 |
| Cube | 389656830464 |
| Square root | 85.463442 (= 2√1826) |
| Digit sum / digital root | 14 / 5 |
| Collatz steps to 1 | 132 |
| Scientific notation | 7.304 × |
7304 in other forms
| Form | Value |
|---|---|
| In words | seven thousand three hundred and four |
| Binary (base 2) | 1110010001000 |
| Octal (base 8) | 16210 |
| Hexadecimal (base 16) | 1C88 |
| Base 3 | 101000112 |
| As time | 7304 seconds = 2 h 1 min 44 s |
Is 7304 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (7304 ÷ 2 = 3652) | 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 (7304 ÷ 4 = 1826) | 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 3) | 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 (7304 ÷ 8 = 913) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 5) | 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 | Yes (7304 ÷ 11 = 664) | 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 7304 a prime number?
No. 7304 = × 11 × 83, so it is divisible by 2.
What are the factors of 7304?
1, 2, 4, 8, 11, 22, 44, 83, 88, 166, 332, 664, 913, 1826, 3652, 7304.
What is 7304 in binary?
1110010001000 (hexadecimal 1C88, octal 16210).
What is the square root of 7304?
About 85.4634, exactly 2√1826.
Is 7304 divisible by 3?
No. Its digits add up to 14, which is not a multiple of 3.
What is special about the number 7304?
It is a composite number with 16 divisors.