The number 30267
30267 is a composite number with 16 divisors. Its prime factorisation is × 19 × 59. Divisors (16): 1, 3, 9, 19, 27, 57, 59, 171, 177, 513, 531, 1121, 1593, 3363, 10089, 30267.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
30267 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
30267 is composite. Its prime factorisation is
- 3
The divisors add up to 48000; without 30267 itself that is 17733, so 30267 is deficient (17733 is less than 30267). Euler's totient φ(30267) = 18792 numbers up to 30267 share no factor with it.
- 4
The digits of 30267 add up to 18, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 165 steps to reach 1.
LaTeX source of the formulas on this page
\[ 30267 = 3^{3} \times 19 \times 59 \]30267 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 48000 |
| Euler totient φ(n) | 18792 |
| Square | 916091289 |
| Cube | 27727335044163 |
| Square root | 173.974136 (= 3√3363) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 165 |
| Scientific notation | 3.0267 × |
30267 in other forms
| Form | Value |
|---|---|
| In words | thirty thousand two hundred and sixty-seven |
| Binary (base 2) | 111011000111011 |
| Octal (base 8) | 73073 |
| Hexadecimal (base 16) | 763B |
| Base 3 | 1112112000 |
| As time | 30267 seconds = 8 h 24 min 27 s |
Is 30267 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 (30267 ÷ 3 = 10089) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 3) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 2) | 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 3) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (30267 ÷ 9 = 3363) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 7) | 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 3) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 30267 a prime number?
No. 30267 = × 19 × 59, so it is divisible by 3.
What are the factors of 30267?
1, 3, 9, 19, 27, 57, 59, 171, 177, 513, 531, 1121, 1593, 3363, 10089, 30267.
What is 30267 in binary?
111011000111011 (hexadecimal 763B, octal 73073).
What is the square root of 30267?
About 173.9741, exactly 3√3363.
Is 30267 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 30267?
It is a composite number with 16 divisors.