The number 27170
27170 is a composite number with 32 divisors. Its prime factorisation is 2 × 5 × 11 × 13 × 19. Divisors (32): 1, 2, 5, 10, 11, 13, 19, 22, 26, 38, 55, 65, 95, 110, 130, 143 … 27170.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 27170: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
27170 is composite. Its prime factorisation is
- 3
The divisors add up to 60480; without 27170 itself that is 33310, so 27170 is abundant (33310 is more than 27170). Euler's totient φ(27170) = 8640 numbers up to 27170 share no factor with it.
- 4
The digits of 27170 add up to 17, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 38 steps to reach 1.
LaTeX source of the formulas on this page
\[ 27170 = 2 \times 5 \times 11 \times 13 \times 19 \]
27170 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 32 |
| Sum of divisors | 60480 |
| Euler totient φ(n) | 8640 |
| Square | 738208900 |
| Cube | 20057135813000 |
| Square root | 164.833249 |
| Digit sum / digital root | 17 / 8 |
| Collatz steps to 1 | 38 |
| Scientific notation | 2.717 × |
27170 in other forms
| Form | Value |
|---|---|
| In words | twenty-seven thousand one hundred and seventy |
| Binary (base 2) | 110101000100010 |
| Octal (base 8) | 65042 |
| Hexadecimal (base 16) | 6A22 |
| Base 3 | 1101021022 |
| As time | 27170 seconds = 7 h 32 min 50 s |
Is 27170 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (27170 ÷ 2 = 13585) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 2) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 2) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (27170 ÷ 5 = 5434) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 2) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 3) | 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 2) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 8) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (27170 ÷ 10 = 2717) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (27170 ÷ 11 = 2470) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 2) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 27170 a prime number?
No. 27170 = 2 × 5 × 11 × 13 × 19, so it is divisible by 2.
What are the factors of 27170?
1, 2, 5, 10, 11, 13, 19, 22, 26, 38, 55, 65, 95, 110, 130, 143, 190, 209, 247, 286, 418, 494, 715, 1045, 1235, 1430, 2090, 2470, 2717, 5434, 13585, 27170.
What is 27170 in binary?
110101000100010 (hexadecimal 6A22, octal 65042).
What is the square root of 27170?
About 164.8332.
Is 27170 divisible by 3?
No. Its digits add up to 17, which is not a multiple of 3.
What is special about the number 27170?
27170 is a happy number: repeatedly adding the squares of its digits reaches 1.