The number 27162
27162 is a composite number with 16 divisors. Its prime factorisation is 2 × × 503. Divisors (16): 1, 2, 3, 6, 9, 18, 27, 54, 503, 1006, 1509, 3018, 4527, 9054, 13581, 27162.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 27162: a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 18.
- 2
27162 is composite. Its prime factorisation is
- 3
The divisors add up to 60480; without 27162 itself that is 33318, so 27162 is abundant (33318 is more than 27162). Euler's totient φ(27162) = 9036 numbers up to 27162 share no factor with it.
- 4
The digits of 27162 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 38 steps to reach 1.
LaTeX source of the formulas on this page
\[ 27162 = 2 \times 3^{3} \times 503 \]27162 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 60480 |
| Euler totient φ(n) | 9036 |
| Square | 737774244 |
| Cube | 20039424015528 |
| Square root | 164.808980 (= 3√3018) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 38 |
| Scientific notation | 2.7162 × |
27162 in other forms
| Form | Value |
|---|---|
| In words | twenty-seven thousand one hundred and sixty-two |
| Binary (base 2) | 110101000011010 |
| Octal (base 8) | 65032 |
| Hexadecimal (base 16) | 6A1A |
| Base 3 | 1101021000 |
| As time | 27162 seconds = 7 h 32 min 42 s |
Is 27162 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (27162 ÷ 2 = 13581) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (27162 ÷ 3 = 9054) | 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 | No (remainder 2) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (27162 ÷ 6 = 4527) | 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 2) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (27162 ÷ 9 = 3018) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 2) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 3) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 6) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 27162 a prime number?
No. 27162 = 2 × × 503, so it is divisible by 2.
What are the factors of 27162?
1, 2, 3, 6, 9, 18, 27, 54, 503, 1006, 1509, 3018, 4527, 9054, 13581, 27162.
What is 27162 in binary?
110101000011010 (hexadecimal 6A1A, octal 65032).
What is the square root of 27162?
About 164.8090, exactly 3√3018.
Is 27162 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 27162?
27162 is a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 18.