The number 3015
3015 is a composite number with 12 divisors. Its prime factorisation is × 5 × 67. Divisors (12): 1, 3, 5, 9, 15, 45, 67, 201, 335, 603, 1005, 3015.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 3015: a Harshad number: divisible by its digit sum 9.
- 2
3015 is composite. Its prime factorisation is
- 3
The divisors add up to 5304; without 3015 itself that is 2289, so 3015 is deficient (2289 is less than 3015). Euler's totient φ(3015) = 1584 numbers up to 3015 share no factor with it.
- 4
The digits of 3015 add up to 9, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 92 steps to reach 1.
LaTeX source of the formulas on this page
\[ 3015 = 3^{2} \times 5 \times 67 \]3015 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 5304 |
| Euler totient φ(n) | 1584 |
| Square | 9090225 |
| Cube | 27407028375 |
| Square root | 54.909016 (= 3√335) |
| Digit sum / digital root | 9 / 9 |
| Collatz steps to 1 | 92 |
| Scientific notation | 3.015 × |
3015 in other forms
| Form | Value |
|---|---|
| In words | three thousand and fifteen |
| Roman numerals | MMMXV |
| Binary (base 2) | 101111000111 |
| Octal (base 8) | 5707 |
| Hexadecimal (base 16) | BC7 |
| Base 3 | 11010200 |
| As time | 3015 seconds = 50 min 15 s |
Is 3015 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 (3015 ÷ 3 = 1005) | 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 (3015 ÷ 5 = 603) | 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 5) | 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 | Yes (3015 ÷ 9 = 335) | 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 1) | 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 3015 a prime number?
No. 3015 = × 5 × 67, so it is divisible by 3.
What are the factors of 3015?
1, 3, 5, 9, 15, 45, 67, 201, 335, 603, 1005, 3015.
What is 3015 in binary?
101111000111 (hexadecimal BC7, octal 5707).
What is the square root of 3015?
About 54.9090, exactly 3√335.
What is 3015 in Roman numerals?
MMMXV.
Is 3015 divisible by 3?
Yes. Its digits add up to 9, a multiple of 3.
What is special about the number 3015?
3015 is a Harshad number: divisible by its digit sum 9.