The number 8321
8321 is a composite number with 4 divisors. Its prime factorisation is 53 × 157. Divisors (4): 1, 53, 157, 8321.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 8321: a semiprime: 53 × 157, the product of two primes.
- 2
8321 is composite. Its prime factorisation is
- 3
The divisors add up to 8532; without 8321 itself that is 211, so 8321 is deficient (211 is less than 8321). Euler's totient φ(8321) = 8112 numbers up to 8321 share no factor with it.
- 4
The digits of 8321 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 52 steps to reach 1.
LaTeX source of the formulas on this page
\[ 8321 = 53 \times 157 \]
8321 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 8532 |
| Euler totient φ(n) | 8112 |
| Square | 69239041 |
| Cube | 576138060161 |
| Square root | 91.219515 |
| Digit sum / digital root | 14 / 5 |
| Collatz steps to 1 | 52 |
| Scientific notation | 8.321 × |
8321 in other forms
| Form | Value |
|---|---|
| In words | eight thousand three hundred and twenty-one |
| Binary (base 2) | 10000010000001 |
| Octal (base 8) | 20201 |
| Hexadecimal (base 16) | 2081 |
| Base 3 | 102102012 |
| As time | 8321 seconds = 2 h 18 min 41 s |
Is 8321 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 2) | 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 5) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 5) | 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 5) | 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 5) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 5) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 8321 a prime number?
No. 8321 = 53 × 157, so it is divisible by 53.
What are the factors of 8321?
1, 53, 157, 8321.
What is 8321 in binary?
10000010000001 (hexadecimal 2081, octal 20201).
What is the square root of 8321?
About 91.2195.
Is 8321 divisible by 3?
No. Its digits add up to 14, which is not a multiple of 3.
What is special about the number 8321?
8321 is a semiprime: 53 × 157, the product of two primes.