The number 8980
8980 is a composite number with 12 divisors. Its prime factorisation is × 5 × 449. Divisors (12): 1, 2, 4, 5, 10, 20, 449, 898, 1796, 2245, 4490, 8980.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
8980 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
8980 is composite. Its prime factorisation is
- 3
The divisors add up to 18900; without 8980 itself that is 9920, so 8980 is abundant (9920 is more than 8980). Euler's totient φ(8980) = 3584 numbers up to 8980 share no factor with it.
- 4
The digits of 8980 add up to 25, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 47 steps to reach 1.
LaTeX source of the formulas on this page
\[ 8980 = 2^{2} \times 5 \times 449 \]8980 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 18900 |
| Euler totient φ(n) | 3584 |
| Square | 80640400 |
| Cube | 724150792000 |
| Square root | 94.762862 (= 2√2245) |
| Digit sum / digital root | 25 / 7 |
| Collatz steps to 1 | 47 |
| Scientific notation | 8.98 × |
8980 in other forms
| Form | Value |
|---|---|
| In words | eight thousand nine hundred and eighty |
| Binary (base 2) | 10001100010100 |
| Octal (base 8) | 21424 |
| Hexadecimal (base 16) | 2314 |
| Base 3 | 110022121 |
| As time | 8980 seconds = 2 h 29 min 40 s |
Is 8980 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (8980 ÷ 2 = 4490) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 1) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (8980 ÷ 4 = 2245) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (8980 ÷ 5 = 1796) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 4) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 6) | 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 7) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (8980 ÷ 10 = 898) | 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 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 8980 a prime number?
No. 8980 = × 5 × 449, so it is divisible by 2.
What are the factors of 8980?
1, 2, 4, 5, 10, 20, 449, 898, 1796, 2245, 4490, 8980.
What is 8980 in binary?
10001100010100 (hexadecimal 2314, octal 21424).
What is the square root of 8980?
About 94.7629, exactly 2√2245.
Is 8980 divisible by 3?
No. Its digits add up to 25, which is not a multiple of 3.
What is special about the number 8980?
It is a composite number with 12 divisors.