The number 80980
80980 is a composite number with 12 divisors. Its prime factorisation is × 5 × 4049. Divisors (12): 1, 2, 4, 5, 10, 20, 4049, 8098, 16196, 20245, 40490, 80980.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
80980 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
80980 is composite. Its prime factorisation is
- 3
The divisors add up to 170100; without 80980 itself that is 89120, so 80980 is abundant (89120 is more than 80980). Euler's totient φ(80980) = 32384 numbers up to 80980 share no factor with it.
- 4
The digits of 80980 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 45 steps to reach 1.
LaTeX source of the formulas on this page
\[ 80980 = 2^{2} \times 5 \times 4049 \]80980 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 170100 |
| Euler totient φ(n) | 32384 |
| Square | 6557760400 |
| Cube | 531047437192000 |
| Square root | 284.569851 (= 2√20245) |
| Digit sum / digital root | 25 / 7 |
| Collatz steps to 1 | 45 |
| Scientific notation | 8.098 × |
80980 in other forms
| Form | Value |
|---|---|
| In words | eighty thousand nine hundred and eighty |
| Binary (base 2) | 10011110001010100 |
| Octal (base 8) | 236124 |
| Hexadecimal (base 16) | 13C54 |
| Base 3 | 11010002021 |
| As time | 80980 seconds = 22 h 29 min 40 s |
Is 80980 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (80980 ÷ 2 = 40490) | 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 (80980 ÷ 4 = 20245) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (80980 ÷ 5 = 16196) | 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 4) | 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 (80980 ÷ 10 = 8098) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 9) | 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 80980 a prime number?
No. 80980 = × 5 × 4049, so it is divisible by 2.
What are the factors of 80980?
1, 2, 4, 5, 10, 20, 4049, 8098, 16196, 20245, 40490, 80980.
What is 80980 in binary?
10011110001010100 (hexadecimal 13C54, octal 236124).
What is the square root of 80980?
About 284.5699, exactly 2√20245.
Is 80980 divisible by 3?
No. Its digits add up to 25, which is not a multiple of 3.
What is special about the number 80980?
It is a composite number with 12 divisors.