The number 30000
30000 is a composite number with 50 divisors. Its prime factorisation is × 3 × . Divisors (50): 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 25, 30, 40 … 30000.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 30000: a Harshad number: divisible by its digit sum 3.
- 2
30000 is composite. Its prime factorisation is
- 3
The divisors add up to 96844; without 30000 itself that is 66844, so 30000 is abundant (66844 is more than 30000). Euler's totient φ(30000) = 8000 numbers up to 30000 share no factor with it.
- 4
The digits of 30000 add up to 3, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 178 steps to reach 1.
LaTeX source of the formulas on this page
\[ 30000 = 2^{4} \times 3 \times 5^{4} \]30000 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 50 |
| Sum of divisors | 96844 |
| Euler totient φ(n) | 8000 |
| Square | 900000000 |
| Cube | 27000000000000 |
| Square root | 173.205081 (= 100√3) |
| Digit sum / digital root | 3 / 3 |
| Collatz steps to 1 | 178 |
| Scientific notation | 3 × |
30000 in other forms
| Form | Value |
|---|---|
| In words | thirty thousand |
| Binary (base 2) | 111010100110000 |
| Octal (base 8) | 72460 |
| Hexadecimal (base 16) | 7530 |
| Base 3 | 1112011010 |
| As time | 30000 seconds = 8 h 20 min 0 s |
Is 30000 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (30000 ÷ 2 = 15000) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (30000 ÷ 3 = 10000) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (30000 ÷ 4 = 7500) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (30000 ÷ 5 = 6000) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (30000 ÷ 6 = 5000) | 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 | Yes (30000 ÷ 8 = 3750) | 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 | Yes (30000 ÷ 10 = 3000) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 3) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (30000 ÷ 12 = 2500) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 30000 a prime number?
No. 30000 = × 3 × , so it is divisible by 2.
What are the factors of 30000?
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 25, 30, 40, 48, 50, 60, 75, 80, 100, 120, 125, 150, 200, 240, 250, 300, 375, 400, 500, 600, 625, 750, 1000, 1200, 1250, 1500, 1875, 2000, 2500, 3000, 3750, 5000, 6000, 7500, 10000, 15000, 30000.
What is 30000 in binary?
111010100110000 (hexadecimal 7530, octal 72460).
What is the square root of 30000?
About 173.2051, exactly 100√3.
Is 30000 divisible by 3?
Yes. Its digits add up to 3, a multiple of 3.
What is special about the number 30000?
30000 is a Harshad number: divisible by its digit sum 3.