The number 27272
27272 is a palindrome: it reads 27272 backwards too. Its prime factorisation is × 7 × 487. Divisors (16): 1, 2, 4, 7, 8, 14, 28, 56, 487, 974, 1948, 3409, 3896, 6818, 13636, 27272.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 27272: a palindrome: it reads 27272 backwards too.
- 2
27272 is composite. Its prime factorisation is
- 3
The divisors add up to 58560; without 27272 itself that is 31288, so 27272 is abundant (31288 is more than 27272). Euler's totient φ(27272) = 11664 numbers up to 27272 share no factor with it.
- 4
The digits of 27272 add up to 20, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 139 steps to reach 1.
LaTeX source of the formulas on this page
\[ 27272 = 2^{3} \times 7 \times 487 \]27272 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 58560 |
| Euler totient φ(n) | 11664 |
| Square | 743761984 |
| Cube | 20283876827648 |
| Square root | 165.142363 (= 2√6818) |
| Digit sum / digital root | 20 / 2 |
| Collatz steps to 1 | 139 |
| Scientific notation | 2.7272 × |
27272 in other forms
| Form | Value |
|---|---|
| In words | twenty-seven thousand two hundred and seventy-two |
| Binary (base 2) | 110101010001000 |
| Octal (base 8) | 65210 |
| Hexadecimal (base 16) | 6A88 |
| Base 3 | 1101102002 |
| As time | 27272 seconds = 7 h 34 min 32 s |
Is 27272 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (27272 ÷ 2 = 13636) | 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 | Yes (27272 ÷ 4 = 6818) | 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 2) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (27272 ÷ 7 = 3896) | 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 (27272 ÷ 8 = 3409) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 2) | 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 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 27272 a prime number?
No. 27272 = × 7 × 487, so it is divisible by 2.
What are the factors of 27272?
1, 2, 4, 7, 8, 14, 28, 56, 487, 974, 1948, 3409, 3896, 6818, 13636, 27272.
What is 27272 in binary?
110101010001000 (hexadecimal 6A88, octal 65210).
What is the square root of 27272?
About 165.1424, exactly 2√6818.
Is 27272 divisible by 3?
No. Its digits add up to 20, which is not a multiple of 3.
What is special about the number 27272?
27272 is a palindrome: it reads 27272 backwards too.