The number 27192
27192 is a composite number with 32 divisors. Its prime factorisation is × 3 × 11 × 103. Divisors (32): 1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 103, 132 … 27192.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 27192: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
27192 is composite. Its prime factorisation is
- 3
The divisors add up to 74880; without 27192 itself that is 47688, so 27192 is abundant (47688 is more than 27192). Euler's totient φ(27192) = 8160 numbers up to 27192 share no factor with it.
- 4
The digits of 27192 add up to 21, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 121 steps to reach 1.
LaTeX source of the formulas on this page
\[ 27192 = 2^{3} \times 3 \times 11 \times 103 \]27192 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 32 |
| Sum of divisors | 74880 |
| Euler totient φ(n) | 8160 |
| Square | 739404864 |
| Cube | 20105897061888 |
| Square root | 164.899970 (= 2√6798) |
| Digit sum / digital root | 21 / 3 |
| Collatz steps to 1 | 121 |
| Scientific notation | 2.7192 × |
27192 in other forms
| Form | Value |
|---|---|
| In words | twenty-seven thousand one hundred and ninety-two |
| Binary (base 2) | 110101000111000 |
| Octal (base 8) | 65070 |
| Hexadecimal (base 16) | 6A38 |
| Base 3 | 1101022010 |
| As time | 27192 seconds = 7 h 33 min 12 s |
Is 27192 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (27192 ÷ 2 = 13596) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (27192 ÷ 3 = 9064) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (27192 ÷ 4 = 6798) | 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 (27192 ÷ 6 = 4532) | 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 | Yes (27192 ÷ 8 = 3399) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 3) | 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 | Yes (27192 ÷ 11 = 2472) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (27192 ÷ 12 = 2266) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 27192 a prime number?
No. 27192 = × 3 × 11 × 103, so it is divisible by 2.
What are the factors of 27192?
1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 103, 132, 206, 264, 309, 412, 618, 824, 1133, 1236, 2266, 2472, 3399, 4532, 6798, 9064, 13596, 27192.
What is 27192 in binary?
110101000111000 (hexadecimal 6A38, octal 65070).
What is the square root of 27192?
About 164.9000, exactly 2√6798.
Is 27192 divisible by 3?
Yes. Its digits add up to 21, a multiple of 3.
What is special about the number 27192?
27192 is a happy number: repeatedly adding the squares of its digits reaches 1.