The number 27632
27632 is a composite number with 20 divisors. Its prime factorisation is × 11 × 157. Divisors (20): 1, 2, 4, 8, 11, 16, 22, 44, 88, 157, 176, 314, 628, 1256, 1727, 2512 … 27632.
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How to work it out
- 1
27632 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
27632 is composite. Its prime factorisation is
- 3
The divisors add up to 58776; without 27632 itself that is 31144, so 27632 is abundant (31144 is more than 27632). Euler's totient φ(27632) = 12480 numbers up to 27632 share no factor with it.
- 4
The digits of 27632 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 59 steps to reach 1.
LaTeX source of the formulas on this page
\[ 27632 = 2^{4} \times 11 \times 157 \]27632 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 20 |
| Sum of divisors | 58776 |
| Euler totient φ(n) | 12480 |
| Square | 763527424 |
| Cube | 21097789779968 |
| Square root | 166.228758 (= 4√1727) |
| Digit sum / digital root | 20 / 2 |
| Collatz steps to 1 | 59 |
| Scientific notation | 2.7632 × |
27632 in other forms
| Form | Value |
|---|---|
| In words | twenty-seven thousand six hundred and thirty-two |
| Binary (base 2) | 110101111110000 |
| Octal (base 8) | 65760 |
| Hexadecimal (base 16) | 6BF0 |
| Base 3 | 1101220102 |
| As time | 27632 seconds = 7 h 40 min 32 s |
Is 27632 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (27632 ÷ 2 = 13816) | 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 (27632 ÷ 4 = 6908) | 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 | 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 | Yes (27632 ÷ 8 = 3454) | 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 | Yes (27632 ÷ 11 = 2512) | 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 27632 a prime number?
No. 27632 = × 11 × 157, so it is divisible by 2.
What are the factors of 27632?
1, 2, 4, 8, 11, 16, 22, 44, 88, 157, 176, 314, 628, 1256, 1727, 2512, 3454, 6908, 13816, 27632.
What is 27632 in binary?
110101111110000 (hexadecimal 6BF0, octal 65760).
What is the square root of 27632?
About 166.2288, exactly 4√1727.
Is 27632 divisible by 3?
No. Its digits add up to 20, which is not a multiple of 3.
What is special about the number 27632?
It is a composite number with 20 divisors.