The number 8060
8060 is a composite number with 24 divisors. Its prime factorisation is × 5 × 13 × 31. Divisors (24): 1, 2, 4, 5, 10, 13, 20, 26, 31, 52, 62, 65, 124, 130, 155, 260 … 8060.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 8060: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
8060 is composite. Its prime factorisation is
- 3
The divisors add up to 18816; without 8060 itself that is 10756, so 8060 is abundant (10756 is more than 8060). Euler's totient φ(8060) = 2880 numbers up to 8060 share no factor with it.
- 4
The digits of 8060 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 96 steps to reach 1.
LaTeX source of the formulas on this page
\[ 8060 = 2^{2} \times 5 \times 13 \times 31 \]8060 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 18816 |
| Euler totient φ(n) | 2880 |
| Square | 64963600 |
| Cube | 523606616000 |
| Square root | 89.777503 (= 2√2015) |
| Digit sum / digital root | 14 / 5 |
| Collatz steps to 1 | 96 |
| Scientific notation | 8.06 × |
8060 in other forms
| Form | Value |
|---|---|
| In words | eight thousand and sixty |
| Binary (base 2) | 1111101111100 |
| Octal (base 8) | 17574 |
| Hexadecimal (base 16) | 1F7C |
| Base 3 | 102001112 |
| As time | 8060 seconds = 2 h 14 min 20 s |
Is 8060 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (8060 ÷ 2 = 4030) | 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 (8060 ÷ 4 = 2015) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (8060 ÷ 5 = 1612) | 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 3) | 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 (8060 ÷ 10 = 806) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 8) | 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 8060 a prime number?
No. 8060 = × 5 × 13 × 31, so it is divisible by 2.
What are the factors of 8060?
1, 2, 4, 5, 10, 13, 20, 26, 31, 52, 62, 65, 124, 130, 155, 260, 310, 403, 620, 806, 1612, 2015, 4030, 8060.
What is 8060 in binary?
1111101111100 (hexadecimal 1F7C, octal 17574).
What is the square root of 8060?
About 89.7775, exactly 2√2015.
Is 8060 divisible by 3?
No. Its digits add up to 14, which is not a multiple of 3.
What is special about the number 8060?
8060 is a happy number: repeatedly adding the squares of its digits reaches 1.