The number 27495
27495 is a triangular number: 1 + 2 + … + 234 = 27495. Its prime factorisation is × 5 × 13 × 47. Divisors (24): 1, 3, 5, 9, 13, 15, 39, 45, 47, 65, 117, 141, 195, 235, 423, 585 … 27495.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 27495: a triangular number: 1 + 2 + … + 234 = 27495.
- 2
27495 is composite. Its prime factorisation is
- 3
The divisors add up to 52416; without 27495 itself that is 24921, so 27495 is deficient (24921 is less than 27495). Euler's totient φ(27495) = 13248 numbers up to 27495 share no factor with it.
- 4
The digits of 27495 add up to 27, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 214 steps to reach 1.
LaTeX source of the formulas on this page
\[ 27495 = 3^{2} \times 5 \times 13 \times 47 \]27495 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 52416 |
| Euler totient φ(n) | 13248 |
| Square | 755975025 |
| Cube | 20785533312375 |
| Square root | 165.816163 (= 3√3055) |
| Digit sum / digital root | 27 / 9 |
| Collatz steps to 1 | 214 |
| Scientific notation | 2.7495 × |
27495 in other forms
| Form | Value |
|---|---|
| In words | twenty-seven thousand four hundred and ninety-five |
| Binary (base 2) | 110101101100111 |
| Octal (base 8) | 65547 |
| Hexadecimal (base 16) | 6B67 |
| Base 3 | 1101201100 |
| As time | 27495 seconds = 7 h 38 min 15 s |
Is 27495 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 (27495 ÷ 3 = 9165) | 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 (27495 ÷ 5 = 5499) | 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 | Yes (27495 ÷ 9 = 3055) | 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 27495 a prime number?
No. 27495 = × 5 × 13 × 47, so it is divisible by 3.
What are the factors of 27495?
1, 3, 5, 9, 13, 15, 39, 45, 47, 65, 117, 141, 195, 235, 423, 585, 611, 705, 1833, 2115, 3055, 5499, 9165, 27495.
What is 27495 in binary?
110101101100111 (hexadecimal 6B67, octal 65547).
What is the square root of 27495?
About 165.8162, exactly 3√3055.
Is 27495 divisible by 3?
Yes. Its digits add up to 27, a multiple of 3.
What is special about the number 27495?
27495 is a triangular number: 1 + 2 + … + 234 = 27495.