The number 30387
30387 is a composite number with 8 divisors. Its prime factorisation is 3 × 7 × 1447. Divisors (8): 1, 3, 7, 21, 1447, 4341, 10129, 30387.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 30387: a Harshad number: divisible by its digit sum 21.
- 2
30387 is composite. Its prime factorisation is
- 3
The divisors add up to 46336; without 30387 itself that is 15949, so 30387 is deficient (15949 is less than 30387). Euler's totient φ(30387) = 17352 numbers up to 30387 share no factor with it.
- 4
The digits of 30387 add up to 21, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 72 steps to reach 1.
LaTeX source of the formulas on this page
\[ 30387 = 3 \times 7 \times 1447 \]
30387 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 46336 |
| Euler totient φ(n) | 17352 |
| Square | 923369769 |
| Cube | 28058437170603 |
| Square root | 174.318674 |
| Digit sum / digital root | 21 / 3 |
| Collatz steps to 1 | 72 |
| Scientific notation | 3.0387 × |
30387 in other forms
| Form | Value |
|---|---|
| In words | thirty thousand three hundred and eighty-seven |
| Binary (base 2) | 111011010110011 |
| Octal (base 8) | 73263 |
| Hexadecimal (base 16) | 76B3 |
| Base 3 | 1112200110 |
| As time | 30387 seconds = 8 h 26 min 27 s |
Is 30387 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 (30387 ÷ 3 = 10129) | 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 | Yes (30387 ÷ 7 = 4341) | 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 | No (remainder 3) | 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 5) | 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 30387 a prime number?
No. 30387 = 3 × 7 × 1447, so it is divisible by 3.
What are the factors of 30387?
1, 3, 7, 21, 1447, 4341, 10129, 30387.
What is 30387 in binary?
111011010110011 (hexadecimal 76B3, octal 73263).
What is the square root of 30387?
About 174.3187.
Is 30387 divisible by 3?
Yes. Its digits add up to 21, a multiple of 3.
What is special about the number 30387?
30387 is a Harshad number: divisible by its digit sum 21.