The number 27672
27672 is a palindrome: it reads 27672 backwards too. Its prime factorisation is × 3 × 1153. Divisors (16): 1, 2, 3, 4, 6, 8, 12, 24, 1153, 2306, 3459, 4612, 6918, 9224, 13836, 27672.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 27672: a palindrome: it reads 27672 backwards too; a Harshad number: divisible by its digit sum 24.
- 2
27672 is composite. Its prime factorisation is
- 3
The divisors add up to 69240; without 27672 itself that is 41568, so 27672 is abundant (41568 is more than 27672). Euler's totient φ(27672) = 9216 numbers up to 27672 share no factor with it.
- 4
The digits of 27672 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 108 steps to reach 1.
LaTeX source of the formulas on this page
\[ 27672 = 2^{3} \times 3 \times 1153 \]27672 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 69240 |
| Euler totient φ(n) | 9216 |
| Square | 765739584 |
| Cube | 21189545768448 |
| Square root | 166.349031 (= 2√6918) |
| Digit sum / digital root | 24 / 6 |
| Collatz steps to 1 | 108 |
| Scientific notation | 2.7672 × |
27672 in other forms
| Form | Value |
|---|---|
| In words | twenty-seven thousand six hundred and seventy-two |
| Binary (base 2) | 110110000011000 |
| Octal (base 8) | 66030 |
| Hexadecimal (base 16) | 6C18 |
| Base 3 | 1101221220 |
| As time | 27672 seconds = 7 h 41 min 12 s |
Is 27672 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (27672 ÷ 2 = 13836) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (27672 ÷ 3 = 9224) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (27672 ÷ 4 = 6918) | 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 (27672 ÷ 6 = 4612) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 1) | 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 (27672 ÷ 8 = 3459) | 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 7) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (27672 ÷ 12 = 2306) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 27672 a prime number?
No. 27672 = × 3 × 1153, so it is divisible by 2.
What are the factors of 27672?
1, 2, 3, 4, 6, 8, 12, 24, 1153, 2306, 3459, 4612, 6918, 9224, 13836, 27672.
What is 27672 in binary?
110110000011000 (hexadecimal 6C18, octal 66030).
What is the square root of 27672?
About 166.3490, exactly 2√6918.
Is 27672 divisible by 3?
Yes. Its digits add up to 24, a multiple of 3.
What is special about the number 27672?
27672 is a palindrome: it reads 27672 backwards too; a Harshad number: divisible by its digit sum 24.