The number 7329
7329 is a composite number with 8 divisors. Its prime factorisation is 3 × 7 × 349. Divisors (8): 1, 3, 7, 21, 349, 1047, 2443, 7329.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 7329: a Harshad number: divisible by its digit sum 21.
- 2
7329 is composite. Its prime factorisation is
- 3
The divisors add up to 11200; without 7329 itself that is 3871, so 7329 is deficient (3871 is less than 7329). Euler's totient φ(7329) = 4176 numbers up to 7329 share no factor with it.
- 4
The digits of 7329 add up to 21, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 101 steps to reach 1.
LaTeX source of the formulas on this page
\[ 7329 = 3 \times 7 \times 349 \]
7329 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 11200 |
| Euler totient φ(n) | 4176 |
| Square | 53714241 |
| Cube | 393671672289 |
| Square root | 85.609579 |
| Digit sum / digital root | 21 / 3 |
| Collatz steps to 1 | 101 |
| Scientific notation | 7.329 × |
7329 in other forms
| Form | Value |
|---|---|
| In words | seven thousand three hundred and twenty-nine |
| Binary (base 2) | 1110010100001 |
| Octal (base 8) | 16241 |
| Hexadecimal (base 16) | 1CA1 |
| Base 3 | 101001110 |
| As time | 7329 seconds = 2 h 2 min 9 s |
Is 7329 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | No (remainder 1) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (7329 ÷ 3 = 2443) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 1) | 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 3) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (7329 ÷ 7 = 1047) | 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 1) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 3) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 9) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 3) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 9) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 7329 a prime number?
No. 7329 = 3 × 7 × 349, so it is divisible by 3.
What are the factors of 7329?
1, 3, 7, 21, 349, 1047, 2443, 7329.
What is 7329 in binary?
1110010100001 (hexadecimal 1CA1, octal 16241).
What is the square root of 7329?
About 85.6096.
Is 7329 divisible by 3?
Yes. Its digits add up to 21, a multiple of 3.
What is special about the number 7329?
7329 is a Harshad number: divisible by its digit sum 21.