The number 980
980 is a composite number with 18 divisors. Its prime factorisation is × 5 × . Divisors (18): 1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 49, 70, 98, 140, 196, 245 … 980.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
980 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
980 is composite. Its prime factorisation is
- 3
The divisors add up to 2394; without 980 itself that is 1414, so 980 is abundant (1414 is more than 980). Euler's totient φ(980) = 336 numbers up to 980 share no factor with it.
- 4
The digits of 980 add up to 17, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 23 steps to reach 1.
LaTeX source of the formulas on this page
\[ 980 = 2^{2} \times 5 \times 7^{2} \]980 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 18 |
| Sum of divisors | 2394 |
| Euler totient φ(n) | 336 |
| Square | 960400 |
| Cube | 941192000 |
| Square root | 31.304952 (= 14√5) |
| Digit sum / digital root | 17 / 8 |
| Collatz steps to 1 | 23 |
| Scientific notation | 9.8 × |
980 in other forms
| Form | Value |
|---|---|
| In words | nine hundred and eighty |
| Roman numerals | CMLXXX |
| Binary (base 2) | 1111010100 |
| Octal (base 8) | 1724 |
| Hexadecimal (base 16) | 3D4 |
| Base 3 | 1100022 |
| As time | 980 seconds = 16 min 20 s |
Is 980 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (980 ÷ 2 = 490) | 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 (980 ÷ 4 = 245) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (980 ÷ 5 = 196) | 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 | Yes (980 ÷ 7 = 140) | 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 8) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (980 ÷ 10 = 98) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 1) | 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 980 a prime number?
No. 980 = × 5 × , so it is divisible by 2.
What are the factors of 980?
1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 49, 70, 98, 140, 196, 245, 490, 980.
What is 980 in binary?
1111010100 (hexadecimal 3D4, octal 1724).
What is the square root of 980?
About 31.3050, exactly 14√5.
What is 980 in Roman numerals?
CMLXXX.
Is 980 divisible by 3?
No. Its digits add up to 17, which is not a multiple of 3.
What is special about the number 980?
It is a composite number with 18 divisors.