The number 9015
9015 is a composite number with 8 divisors. Its prime factorisation is 3 × 5 × 601. Divisors (8): 1, 3, 5, 15, 601, 1803, 3005, 9015.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 9015: a Harshad number: divisible by its digit sum 15.
- 2
9015 is composite. Its prime factorisation is
- 3
The divisors add up to 14448; without 9015 itself that is 5433, so 9015 is deficient (5433 is less than 9015). Euler's totient φ(9015) = 4800 numbers up to 9015 share no factor with it.
- 4
The digits of 9015 add up to 15, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 91 steps to reach 1.
LaTeX source of the formulas on this page
\[ 9015 = 3 \times 5 \times 601 \]
9015 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 14448 |
| Euler totient φ(n) | 4800 |
| Square | 81270225 |
| Cube | 732651078375 |
| Square root | 94.947354 |
| Digit sum / digital root | 15 / 6 |
| Collatz steps to 1 | 91 |
| Scientific notation | 9.015 × |
9015 in other forms
| Form | Value |
|---|---|
| In words | nine thousand and fifteen |
| Binary (base 2) | 10001100110111 |
| Octal (base 8) | 21467 |
| Hexadecimal (base 16) | 2337 |
| Base 3 | 110100220 |
| As time | 9015 seconds = 2 h 30 min 15 s |
Is 9015 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 | Yes (9015 ÷ 3 = 3005) | 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 (9015 ÷ 5 = 1803) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 3) | 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 | No (remainder 7) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 6) | 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 6) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 3) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 9015 a prime number?
No. 9015 = 3 × 5 × 601, so it is divisible by 3.
What are the factors of 9015?
1, 3, 5, 15, 601, 1803, 3005, 9015.
What is 9015 in binary?
10001100110111 (hexadecimal 2337, octal 21467).
What is the square root of 9015?
About 94.9474.
Is 9015 divisible by 3?
Yes. Its digits add up to 15, a multiple of 3.
What is special about the number 9015?
9015 is a Harshad number: divisible by its digit sum 15.