The number 8015
8015 is a composite number with 8 divisors. Its prime factorisation is 5 × 7 × 229. Divisors (8): 1, 5, 7, 35, 229, 1145, 1603, 8015.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
8015 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
8015 is composite. Its prime factorisation is
- 3
The divisors add up to 11040; without 8015 itself that is 3025, so 8015 is deficient (3025 is less than 8015). Euler's totient φ(8015) = 5472 numbers up to 8015 share no factor with it.
- 4
The digits of 8015 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 44 steps to reach 1.
LaTeX source of the formulas on this page
\[ 8015 = 5 \times 7 \times 229 \]
8015 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 11040 |
| Euler totient φ(n) | 5472 |
| Square | 64240225 |
| Cube | 514885403375 |
| Square root | 89.526532 |
| Digit sum / digital root | 14 / 5 |
| Collatz steps to 1 | 44 |
| Scientific notation | 8.015 × |
8015 in other forms
| Form | Value |
|---|---|
| In words | eight thousand and fifteen |
| Binary (base 2) | 1111101001111 |
| Octal (base 8) | 17517 |
| Hexadecimal (base 16) | 1F4F |
| Base 3 | 101222212 |
| As time | 8015 seconds = 2 h 13 min 35 s |
Is 8015 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | No (remainder 1) | 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 | No (remainder 3) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (8015 ÷ 5 = 1603) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 5) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (8015 ÷ 7 = 1145) | 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 7) | 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 | No (remainder 5) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 7) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 11) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 8015 a prime number?
No. 8015 = 5 × 7 × 229, so it is divisible by 5.
What are the factors of 8015?
1, 5, 7, 35, 229, 1145, 1603, 8015.
What is 8015 in binary?
1111101001111 (hexadecimal 1F4F, octal 17517).
What is the square root of 8015?
About 89.5265.
Is 8015 divisible by 3?
No. Its digits add up to 14, which is not a multiple of 3.
What is special about the number 8015?
It is a composite number with 8 divisors.