The number 30980
30980 is a composite number with 12 divisors. Its prime factorisation is × 5 × 1549. Divisors (12): 1, 2, 4, 5, 10, 20, 1549, 3098, 6196, 7745, 15490, 30980.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 30980: a Harshad number: divisible by its digit sum 20.
- 2
30980 is composite. Its prime factorisation is
- 3
The divisors add up to 65100; without 30980 itself that is 34120, so 30980 is abundant (34120 is more than 30980). Euler's totient φ(30980) = 12384 numbers up to 30980 share no factor with it.
- 4
The digits of 30980 add up to 20, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 54 steps to reach 1.
LaTeX source of the formulas on this page
\[ 30980 = 2^{2} \times 5 \times 1549 \]30980 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 65100 |
| Euler totient φ(n) | 12384 |
| Square | 959760400 |
| Cube | 29733377192000 |
| Square root | 176.011363 (= 2√7745) |
| Digit sum / digital root | 20 / 2 |
| Collatz steps to 1 | 54 |
| Scientific notation | 3.098 × |
30980 in other forms
| Form | Value |
|---|---|
| In words | thirty thousand nine hundred and eighty |
| Binary (base 2) | 111100100000100 |
| Octal (base 8) | 74404 |
| Hexadecimal (base 16) | 7904 |
| Base 3 | 1120111102 |
| As time | 30980 seconds = 8 h 36 min 20 s |
Is 30980 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (30980 ÷ 2 = 15490) | 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 (30980 ÷ 4 = 7745) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (30980 ÷ 5 = 6196) | 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 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 | No (remainder 4) | 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 (30980 ÷ 10 = 3098) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 4) | 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 30980 a prime number?
No. 30980 = × 5 × 1549, so it is divisible by 2.
What are the factors of 30980?
1, 2, 4, 5, 10, 20, 1549, 3098, 6196, 7745, 15490, 30980.
What is 30980 in binary?
111100100000100 (hexadecimal 7904, octal 74404).
What is the square root of 30980?
About 176.0114, exactly 2√7745.
Is 30980 divisible by 3?
No. Its digits add up to 20, which is not a multiple of 3.
What is special about the number 30980?
30980 is a Harshad number: divisible by its digit sum 20.