The number 80060
80060 is a composite number with 12 divisors. Its prime factorisation is × 5 × 4003. Divisors (12): 1, 2, 4, 5, 10, 20, 4003, 8006, 16012, 20015, 40030, 80060.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 80060: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
80060 is composite. Its prime factorisation is
- 3
The divisors add up to 168168; without 80060 itself that is 88108, so 80060 is abundant (88108 is more than 80060). Euler's totient φ(80060) = 32016 numbers up to 80060 share no factor with it.
- 4
The digits of 80060 add up to 14, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 68 steps to reach 1.
LaTeX source of the formulas on this page
\[ 80060 = 2^{2} \times 5 \times 4003 \]80060 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 168168 |
| Euler totient φ(n) | 32016 |
| Square | 6409603600 |
| Cube | 513152864216000 |
| Square root | 282.948759 (= 2√20015) |
| Digit sum / digital root | 14 / 5 |
| Collatz steps to 1 | 68 |
| Scientific notation | 8.006 × |
80060 in other forms
| Form | Value |
|---|---|
| In words | eighty thousand and sixty |
| Binary (base 2) | 10011100010111100 |
| Octal (base 8) | 234274 |
| Hexadecimal (base 16) | 138BC |
| Base 3 | 11001211012 |
| As time | 80060 seconds = 22 h 14 min 20 s |
Is 80060 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (80060 ÷ 2 = 40030) | 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 (80060 ÷ 4 = 20015) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (80060 ÷ 5 = 16012) | 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 1) | 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 5) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (80060 ÷ 10 = 8006) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 2) | 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 80060 a prime number?
No. 80060 = × 5 × 4003, so it is divisible by 2.
What are the factors of 80060?
1, 2, 4, 5, 10, 20, 4003, 8006, 16012, 20015, 40030, 80060.
What is 80060 in binary?
10011100010111100 (hexadecimal 138BC, octal 234274).
What is the square root of 80060?
About 282.9488, exactly 2√20015.
Is 80060 divisible by 3?
No. Its digits add up to 14, which is not a multiple of 3.
What is special about the number 80060?
80060 is a happy number: repeatedly adding the squares of its digits reaches 1.