The number 7321
7321 is the 933rd prime number. Its only divisors are 1 and 7321.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 7321: the 933rd prime number.
- 2
7321 is prime, so its only factors are 1 and 7321. It is the 933rd prime; the next prime is 7331 and the one before is 7309.
- 3
The divisors add up to 7322; without 7321 itself that is 1, so 7321 is deficient (1 is less than 7321). Euler's totient φ(7321) = 7320 numbers up to 7321 share no factor with it.
- 4
The digits of 7321 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 44 steps to reach 1.
7321 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 7322 |
| Euler totient φ(n) | 7320 |
| Square | 53597041 |
| Cube | 392383937161 |
| Square root | 85.562842 |
| Digit sum / digital root | 13 / 4 |
| Collatz steps to 1 | 44 |
| Scientific notation | 7.321 × |
7321 in other forms
| Form | Value |
|---|---|
| In words | seven thousand three hundred and twenty-one |
| Binary (base 2) | 1110010011001 |
| Octal (base 8) | 16231 |
| Hexadecimal (base 16) | 1C99 |
| Base 3 | 101001011 |
| As time | 7321 seconds = 2 h 2 min 1 s |
Is 7321 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 | No (remainder 1) | 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 1) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 1) | 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 | No (remainder 1) | 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 1) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 6) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 1) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 7321 a prime number?
Yes. 7321 is divisible only by 1 and itself.
What are the factors of 7321?
1, 7321.
What is 7321 in binary?
1110010011001 (hexadecimal 1C99, octal 16231).
What is the square root of 7321?
About 85.5628.
Is 7321 divisible by 3?
No. Its digits add up to 13, which is not a multiple of 3.
What is special about the number 7321?
7321 is the 933rd prime number.