The number 30321
30321 is a composite number with 8 divisors. Its prime factorisation is × 1123. Divisors (8): 1, 3, 9, 27, 1123, 3369, 10107, 30321.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 30321: a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 9.
- 2
30321 is composite. Its prime factorisation is
- 3
The divisors add up to 44960; without 30321 itself that is 14639, so 30321 is deficient (14639 is less than 30321). Euler's totient φ(30321) = 20196 numbers up to 30321 share no factor with it.
- 4
The digits of 30321 add up to 9, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 41 steps to reach 1.
LaTeX source of the formulas on this page
\[ 30321 = 3^{3} \times 1123 \]30321 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 44960 |
| Euler totient φ(n) | 20196 |
| Square | 919363041 |
| Cube | 27876006766161 |
| Square root | 174.129262 (= 3√3369) |
| Digit sum / digital root | 9 / 9 |
| Collatz steps to 1 | 41 |
| Scientific notation | 3.0321 × |
30321 in other forms
| Form | Value |
|---|---|
| In words | thirty thousand three hundred and twenty-one |
| Binary (base 2) | 111011001110001 |
| Octal (base 8) | 73161 |
| Hexadecimal (base 16) | 7671 |
| Base 3 | 1112121000 |
| As time | 30321 seconds = 8 h 25 min 21 s |
Is 30321 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 (30321 ÷ 3 = 10107) | 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 3) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 4) | 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 | Yes (30321 ÷ 9 = 3369) | 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 9) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 30321 a prime number?
No. 30321 = × 1123, so it is divisible by 3.
What are the factors of 30321?
1, 3, 9, 27, 1123, 3369, 10107, 30321.
What is 30321 in binary?
111011001110001 (hexadecimal 7671, octal 73161).
What is the square root of 30321?
About 174.1293, exactly 3√3369.
Is 30321 divisible by 3?
Yes. Its digits add up to 9, a multiple of 3.
What is special about the number 30321?
30321 is a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 9.