The number 80180
80180 is a composite number with 24 divisors. Its prime factorisation is × 5 × 19 × 211. Divisors (24): 1, 2, 4, 5, 10, 19, 20, 38, 76, 95, 190, 211, 380, 422, 844, 1055 … 80180.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 80180: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
80180 is composite. Its prime factorisation is
- 3
The divisors add up to 178080; without 80180 itself that is 97900, so 80180 is abundant (97900 is more than 80180). Euler's totient φ(80180) = 30240 numbers up to 80180 share no factor with it.
- 4
The digits of 80180 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 94 steps to reach 1.
LaTeX source of the formulas on this page
\[ 80180 = 2^{2} \times 5 \times 19 \times 211 \]80180 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 178080 |
| Euler totient φ(n) | 30240 |
| Square | 6428832400 |
| Cube | 515463781832000 |
| Square root | 283.160732 (= 2√20045) |
| Digit sum / digital root | 17 / 8 |
| Collatz steps to 1 | 94 |
| Scientific notation | 8.018 × |
80180 in other forms
| Form | Value |
|---|---|
| In words | eighty thousand one hundred and eighty |
| Binary (base 2) | 10011100100110100 |
| Octal (base 8) | 234464 |
| Hexadecimal (base 16) | 13934 |
| Base 3 | 11001222122 |
| As time | 80180 seconds = 22 h 16 min 20 s |
Is 80180 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (80180 ÷ 2 = 40090) | 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 (80180 ÷ 4 = 20045) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (80180 ÷ 5 = 16036) | 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 2) | 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 (80180 ÷ 10 = 8018) | 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 80180 a prime number?
No. 80180 = × 5 × 19 × 211, so it is divisible by 2.
What are the factors of 80180?
1, 2, 4, 5, 10, 19, 20, 38, 76, 95, 190, 211, 380, 422, 844, 1055, 2110, 4009, 4220, 8018, 16036, 20045, 40090, 80180.
What is 80180 in binary?
10011100100110100 (hexadecimal 13934, octal 234464).
What is the square root of 80180?
About 283.1607, exactly 2√20045.
Is 80180 divisible by 3?
No. Its digits add up to 17, which is not a multiple of 3.
What is special about the number 80180?
80180 is a happy number: repeatedly adding the squares of its digits reaches 1.