The number 27015
27015 is a composite number with 8 divisors. Its prime factorisation is 3 × 5 × 1801. Divisors (8): 1, 3, 5, 15, 1801, 5403, 9005, 27015.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 27015: a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 15.
- 2
27015 is composite. Its prime factorisation is
- 3
The divisors add up to 43248; without 27015 itself that is 16233, so 27015 is deficient (16233 is less than 27015). Euler's totient φ(27015) = 14400 numbers up to 27015 share no factor with it.
- 4
The digits of 27015 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 77 steps to reach 1.
LaTeX source of the formulas on this page
\[ 27015 = 3 \times 5 \times 1801 \]
27015 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 43248 |
| Euler totient φ(n) | 14400 |
| Square | 729810225 |
| Cube | 19715823228375 |
| Square root | 164.362404 |
| Digit sum / digital root | 15 / 6 |
| Collatz steps to 1 | 77 |
| Scientific notation | 2.7015 × |
27015 in other forms
| Form | Value |
|---|---|
| In words | twenty-seven thousand and fifteen |
| Binary (base 2) | 110100110000111 |
| Octal (base 8) | 64607 |
| Hexadecimal (base 16) | 6987 |
| Base 3 | 1101001120 |
| As time | 27015 seconds = 7 h 30 min 15 s |
Is 27015 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 (27015 ÷ 3 = 9005) | 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 (27015 ÷ 5 = 5403) | 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 2) | 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 10) | 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 27015 a prime number?
No. 27015 = 3 × 5 × 1801, so it is divisible by 3.
What are the factors of 27015?
1, 3, 5, 15, 1801, 5403, 9005, 27015.
What is 27015 in binary?
110100110000111 (hexadecimal 6987, octal 64607).
What is the square root of 27015?
About 164.3624.
Is 27015 divisible by 3?
Yes. Its digits add up to 15, a multiple of 3.
What is special about the number 27015?
27015 is a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 15.