The number 27492
27492 is a composite number with 24 divisors. Its prime factorisation is × 3 × 29 × 79. Divisors (24): 1, 2, 3, 4, 6, 12, 29, 58, 79, 87, 116, 158, 174, 237, 316, 348 … 27492.
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How to work it out
- 1
27492 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
27492 is composite. Its prime factorisation is
- 3
The divisors add up to 67200; without 27492 itself that is 39708, so 27492 is abundant (39708 is more than 27492). Euler's totient φ(27492) = 8736 numbers up to 27492 share no factor with it.
- 4
The digits of 27492 add up to 24, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 33 steps to reach 1.
LaTeX source of the formulas on this page
\[ 27492 = 2^{2} \times 3 \times 29 \times 79 \]27492 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 67200 |
| Euler totient φ(n) | 8736 |
| Square | 755810064 |
| Cube | 20778730279488 |
| Square root | 165.807117 (= 2√6873) |
| Digit sum / digital root | 24 / 6 |
| Collatz steps to 1 | 33 |
| Scientific notation | 2.7492 × |
27492 in other forms
| Form | Value |
|---|---|
| In words | twenty-seven thousand four hundred and ninety-two |
| Binary (base 2) | 110101101100100 |
| Octal (base 8) | 65544 |
| Hexadecimal (base 16) | 6B64 |
| Base 3 | 1101201020 |
| As time | 27492 seconds = 7 h 38 min 12 s |
Is 27492 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (27492 ÷ 2 = 13746) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (27492 ÷ 3 = 9164) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (27492 ÷ 4 = 6873) | 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 (27492 ÷ 6 = 4582) | 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 4) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 6) | 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 | Yes (27492 ÷ 12 = 2291) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 27492 a prime number?
No. 27492 = × 3 × 29 × 79, so it is divisible by 2.
What are the factors of 27492?
1, 2, 3, 4, 6, 12, 29, 58, 79, 87, 116, 158, 174, 237, 316, 348, 474, 948, 2291, 4582, 6873, 9164, 13746, 27492.
What is 27492 in binary?
110101101100100 (hexadecimal 6B64, octal 65544).
What is the square root of 27492?
About 165.8071, exactly 2√6873.
Is 27492 divisible by 3?
Yes. Its digits add up to 24, a multiple of 3.
What is special about the number 27492?
It is a composite number with 24 divisors.