The number 30225
30225 is a composite number with 24 divisors. Its prime factorisation is 3 × × 13 × 31. Divisors (24): 1, 3, 5, 13, 15, 25, 31, 39, 65, 75, 93, 155, 195, 325, 403, 465 … 30225.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
30225 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
30225 is composite. Its prime factorisation is
- 3
The divisors add up to 55552; without 30225 itself that is 25327, so 30225 is deficient (25327 is less than 30225). Euler's totient φ(30225) = 14400 numbers up to 30225 share no factor with it.
- 4
The digits of 30225 add up to 12, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 134 steps to reach 1.
LaTeX source of the formulas on this page
\[ 30225 = 3 \times 5^{2} \times 13 \times 31 \]30225 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 55552 |
| Euler totient φ(n) | 14400 |
| Square | 913550625 |
| Cube | 27612067640625 |
| Square root | 173.853387 (= 5√1209) |
| Digit sum / digital root | 12 / 3 |
| Collatz steps to 1 | 134 |
| Scientific notation | 3.0225 × |
30225 in other forms
| Form | Value |
|---|---|
| In words | thirty thousand two hundred and twenty-five |
| Binary (base 2) | 111011000010001 |
| Octal (base 8) | 73021 |
| Hexadecimal (base 16) | 7611 |
| Base 3 | 1112110110 |
| As time | 30225 seconds = 8 h 23 min 45 s |
Is 30225 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 (30225 ÷ 3 = 10075) | 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 | Yes (30225 ÷ 5 = 6045) | 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 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 3) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 5) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 8) | 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 30225 a prime number?
No. 30225 = 3 × × 13 × 31, so it is divisible by 3.
What are the factors of 30225?
1, 3, 5, 13, 15, 25, 31, 39, 65, 75, 93, 155, 195, 325, 403, 465, 775, 975, 1209, 2015, 2325, 6045, 10075, 30225.
What is 30225 in binary?
111011000010001 (hexadecimal 7611, octal 73021).
What is the square root of 30225?
About 173.8534, exactly 5√1209.
Is 30225 divisible by 3?
Yes. Its digits add up to 12, a multiple of 3.
What is special about the number 30225?
It is a composite number with 24 divisors.