The number 30180
30180 is a composite number with 24 divisors. Its prime factorisation is × 3 × 5 × 503. Divisors (24): 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 503, 1006, 1509, 2012 … 30180.
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How to work it out
- 1
What is special about 30180: a Harshad number: divisible by its digit sum 12.
- 2
30180 is composite. Its prime factorisation is
- 3
The divisors add up to 84672; without 30180 itself that is 54492, so 30180 is abundant (54492 is more than 30180). Euler's totient φ(30180) = 8032 numbers up to 30180 share no factor with it.
- 4
The digits of 30180 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 72 steps to reach 1.
LaTeX source of the formulas on this page
\[ 30180 = 2^{2} \times 3 \times 5 \times 503 \]30180 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 84672 |
| Euler totient φ(n) | 8032 |
| Square | 910832400 |
| Cube | 27488921832000 |
| Square root | 173.723919 (= 2√7545) |
| Digit sum / digital root | 12 / 3 |
| Collatz steps to 1 | 72 |
| Scientific notation | 3.018 × |
30180 in other forms
| Form | Value |
|---|---|
| In words | thirty thousand one hundred and eighty |
| Binary (base 2) | 111010111100100 |
| Octal (base 8) | 72744 |
| Hexadecimal (base 16) | 75E4 |
| Base 3 | 1112101210 |
| As time | 30180 seconds = 8 h 23 min 0 s |
Is 30180 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (30180 ÷ 2 = 15090) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (30180 ÷ 3 = 10060) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (30180 ÷ 4 = 7545) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (30180 ÷ 5 = 6036) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (30180 ÷ 6 = 5030) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 3) | 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 4) | 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 (30180 ÷ 10 = 3018) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 7) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (30180 ÷ 12 = 2515) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 30180 a prime number?
No. 30180 = × 3 × 5 × 503, so it is divisible by 2.
What are the factors of 30180?
1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 503, 1006, 1509, 2012, 2515, 3018, 5030, 6036, 7545, 10060, 15090, 30180.
What is 30180 in binary?
111010111100100 (hexadecimal 75E4, octal 72744).
What is the square root of 30180?
About 173.7239, exactly 2√7545.
Is 30180 divisible by 3?
Yes. Its digits add up to 12, a multiple of 3.
What is special about the number 30180?
30180 is a Harshad number: divisible by its digit sum 12.