The number 60080
60080 is a composite number with 20 divisors. Its prime factorisation is × 5 × 751. Divisors (20): 1, 2, 4, 5, 8, 10, 16, 20, 40, 80, 751, 1502, 3004, 3755, 6008, 7510 … 60080.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 60080: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
60080 is composite. Its prime factorisation is
- 3
The divisors add up to 139872; without 60080 itself that is 79792, so 60080 is abundant (79792 is more than 60080). Euler's totient φ(60080) = 24000 numbers up to 60080 share no factor with it.
- 4
The digits of 60080 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 65 steps to reach 1.
LaTeX source of the formulas on this page
\[ 60080 = 2^{4} \times 5 \times 751 \]60080 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 20 |
| Sum of divisors | 139872 |
| Euler totient φ(n) | 24000 |
| Square | 3609606400 |
| Cube | 216865152512000 |
| Square root | 245.112219 (= 4√3755) |
| Digit sum / digital root | 14 / 5 |
| Collatz steps to 1 | 65 |
| Scientific notation | 6.008 × |
60080 in other forms
| Form | Value |
|---|---|
| In words | sixty thousand and eighty |
| Binary (base 2) | 1110101010110000 |
| Octal (base 8) | 165260 |
| Hexadecimal (base 16) | EAB0 |
| Base 3 | 10001102012 |
| As time | 60080 seconds = 16 h 41 min 20 s |
Is 60080 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (60080 ÷ 2 = 30040) | 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 (60080 ÷ 4 = 15020) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (60080 ÷ 5 = 12016) | 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 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 | Yes (60080 ÷ 8 = 7510) | 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 (60080 ÷ 10 = 6008) | 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 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 60080 a prime number?
No. 60080 = × 5 × 751, so it is divisible by 2.
What are the factors of 60080?
1, 2, 4, 5, 8, 10, 16, 20, 40, 80, 751, 1502, 3004, 3755, 6008, 7510, 12016, 15020, 30040, 60080.
What is 60080 in binary?
1110101010110000 (hexadecimal EAB0, octal 165260).
What is the square root of 60080?
About 245.1122, exactly 4√3755.
Is 60080 divisible by 3?
No. Its digits add up to 14, which is not a multiple of 3.
What is special about the number 60080?
60080 is a happy number: repeatedly adding the squares of its digits reaches 1.