The number 30080
30080 is a composite number with 32 divisors. Its prime factorisation is × 5 × 47. Divisors (32): 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 47, 64, 80, 94, 128, 160 … 30080.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
30080 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
30080 is composite. Its prime factorisation is
- 3
The divisors add up to 73440; without 30080 itself that is 43360, so 30080 is abundant (43360 is more than 30080). Euler's totient φ(30080) = 11776 numbers up to 30080 share no factor with it.
- 4
The digits of 30080 add up to 11, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 134 steps to reach 1.
LaTeX source of the formulas on this page
\[ 30080 = 2^{7} \times 5 \times 47 \]30080 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 32 |
| Sum of divisors | 73440 |
| Euler totient φ(n) | 11776 |
| Square | 904806400 |
| Cube | 27216576512000 |
| Square root | 173.435867 (= 8√470) |
| Digit sum / digital root | 11 / 2 |
| Collatz steps to 1 | 134 |
| Scientific notation | 3.008 × |
30080 in other forms
| Form | Value |
|---|---|
| In words | thirty thousand and eighty |
| Binary (base 2) | 111010110000000 |
| Octal (base 8) | 72600 |
| Hexadecimal (base 16) | 7580 |
| Base 3 | 1112021002 |
| As time | 30080 seconds = 8 h 21 min 20 s |
Is 30080 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (30080 ÷ 2 = 15040) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 2) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (30080 ÷ 4 = 7520) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (30080 ÷ 5 = 6016) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 2) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 1) | 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 (30080 ÷ 8 = 3760) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 2) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (30080 ÷ 10 = 3008) | 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 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 30080 a prime number?
No. 30080 = × 5 × 47, so it is divisible by 2.
What are the factors of 30080?
1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 47, 64, 80, 94, 128, 160, 188, 235, 320, 376, 470, 640, 752, 940, 1504, 1880, 3008, 3760, 6016, 7520, 15040, 30080.
What is 30080 in binary?
111010110000000 (hexadecimal 7580, octal 72600).
What is the square root of 30080?
About 173.4359, exactly 8√470.
Is 30080 divisible by 3?
No. Its digits add up to 11, which is not a multiple of 3.
What is special about the number 30080?
It is a composite number with 32 divisors.