The number 27045
27045 is a composite number with 12 divisors. Its prime factorisation is × 5 × 601. Divisors (12): 1, 3, 5, 9, 15, 45, 601, 1803, 3005, 5409, 9015, 27045.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 27045: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
27045 is composite. Its prime factorisation is
- 3
The divisors add up to 46956; without 27045 itself that is 19911, so 27045 is deficient (19911 is less than 27045). Euler's totient φ(27045) = 14400 numbers up to 27045 share no factor with it.
- 4
The digits of 27045 add up to 18, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 90 steps to reach 1.
LaTeX source of the formulas on this page
\[ 27045 = 3^{2} \times 5 \times 601 \]27045 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 46956 |
| Euler totient φ(n) | 14400 |
| Square | 731432025 |
| Cube | 19781579116125 |
| Square root | 164.453641 (= 3√3005) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 90 |
| Scientific notation | 2.7045 × |
27045 in other forms
| Form | Value |
|---|---|
| In words | twenty-seven thousand and forty-five |
| Binary (base 2) | 110100110100101 |
| Octal (base 8) | 64645 |
| Hexadecimal (base 16) | 69A5 |
| Base 3 | 1101002200 |
| As time | 27045 seconds = 7 h 30 min 45 s |
Is 27045 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 (27045 ÷ 3 = 9015) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 1) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (27045 ÷ 5 = 5409) | 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 4) | 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 5) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (27045 ÷ 9 = 3005) | 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 9) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 27045 a prime number?
No. 27045 = × 5 × 601, so it is divisible by 3.
What are the factors of 27045?
1, 3, 5, 9, 15, 45, 601, 1803, 3005, 5409, 9015, 27045.
What is 27045 in binary?
110100110100101 (hexadecimal 69A5, octal 64645).
What is the square root of 27045?
About 164.4536, exactly 3√3005.
Is 27045 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 27045?
27045 is a happy number: repeatedly adding the squares of its digits reaches 1.