The number 27472
27472 is a palindrome: it reads 27472 backwards too. Its prime factorisation is × 17 × 101. Divisors (20): 1, 2, 4, 8, 16, 17, 34, 68, 101, 136, 202, 272, 404, 808, 1616, 1717 … 27472.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 27472: a palindrome: it reads 27472 backwards too.
- 2
27472 is composite. Its prime factorisation is
- 3
The divisors add up to 56916; without 27472 itself that is 29444, so 27472 is abundant (29444 is more than 27472). Euler's totient φ(27472) = 12800 numbers up to 27472 share no factor with it.
- 4
The digits of 27472 add up to 22, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 108 steps to reach 1.
LaTeX source of the formulas on this page
\[ 27472 = 2^{4} \times 17 \times 101 \]27472 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 20 |
| Sum of divisors | 56916 |
| Euler totient φ(n) | 12800 |
| Square | 754710784 |
| Cube | 20733414658048 |
| Square root | 165.746795 (= 4√1717) |
| Digit sum / digital root | 22 / 4 |
| Collatz steps to 1 | 108 |
| Scientific notation | 2.7472 × |
27472 in other forms
| Form | Value |
|---|---|
| In words | twenty-seven thousand four hundred and seventy-two |
| Binary (base 2) | 110101101010000 |
| Octal (base 8) | 65520 |
| Hexadecimal (base 16) | 6B50 |
| Base 3 | 1101200111 |
| As time | 27472 seconds = 7 h 37 min 52 s |
Is 27472 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (27472 ÷ 2 = 13736) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 1) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (27472 ÷ 4 = 6868) | 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 | No (remainder 4) | 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 (27472 ÷ 8 = 3434) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 4) | 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 5) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 27472 a prime number?
No. 27472 = × 17 × 101, so it is divisible by 2.
What are the factors of 27472?
1, 2, 4, 8, 16, 17, 34, 68, 101, 136, 202, 272, 404, 808, 1616, 1717, 3434, 6868, 13736, 27472.
What is 27472 in binary?
110101101010000 (hexadecimal 6B50, octal 65520).
What is the square root of 27472?
About 165.7468, exactly 4√1717.
Is 27472 divisible by 3?
No. Its digits add up to 22, which is not a multiple of 3.
What is special about the number 27472?
27472 is a palindrome: it reads 27472 backwards too.