The number 7328
7328 is a composite number with 12 divisors. Its prime factorisation is × 229. Divisors (12): 1, 2, 4, 8, 16, 32, 229, 458, 916, 1832, 3664, 7328.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
7328 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
7328 is composite. Its prime factorisation is
- 3
The divisors add up to 14490; without 7328 itself that is 7162, so 7328 is deficient (7162 is less than 7328). Euler's totient φ(7328) = 3648 numbers up to 7328 share no factor with it.
- 4
The digits of 7328 add up to 20, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 39 steps to reach 1.
LaTeX source of the formulas on this page
\[ 7328 = 2^{5} \times 229 \]7328 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 14490 |
| Euler totient φ(n) | 3648 |
| Square | 53699584 |
| Cube | 393510551552 |
| Square root | 85.603738 (= 4√458) |
| Digit sum / digital root | 20 / 2 |
| Collatz steps to 1 | 39 |
| Scientific notation | 7.328 × |
7328 in other forms
| Form | Value |
|---|---|
| In words | seven thousand three hundred and twenty-eight |
| Binary (base 2) | 1110010100000 |
| Octal (base 8) | 16240 |
| Hexadecimal (base 16) | 1CA0 |
| Base 3 | 101001102 |
| As time | 7328 seconds = 2 h 2 min 8 s |
Is 7328 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (7328 ÷ 2 = 3664) | 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 (7328 ÷ 4 = 1832) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 3) | 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 6) | 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 (7328 ÷ 8 = 916) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 2) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 8) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 2) | 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 7328 a prime number?
No. 7328 = × 229, so it is divisible by 2.
What are the factors of 7328?
1, 2, 4, 8, 16, 32, 229, 458, 916, 1832, 3664, 7328.
What is 7328 in binary?
1110010100000 (hexadecimal 1CA0, octal 16240).
What is the square root of 7328?
About 85.6037, exactly 4√458.
Is 7328 divisible by 3?
No. Its digits add up to 20, which is not a multiple of 3.
What is special about the number 7328?
It is a composite number with 12 divisors.