The number 27032
27032 is a composite number with 16 divisors. Its prime factorisation is × 31 × 109. Divisors (16): 1, 2, 4, 8, 31, 62, 109, 124, 218, 248, 436, 872, 3379, 6758, 13516, 27032.
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How to work it out
- 1
27032 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
27032 is composite. Its prime factorisation is
- 3
The divisors add up to 52800; without 27032 itself that is 25768, so 27032 is deficient (25768 is less than 27032). Euler's totient φ(27032) = 12960 numbers up to 27032 share no factor with it.
- 4
The digits of 27032 add up to 14, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 38 steps to reach 1.
LaTeX source of the formulas on this page
\[ 27032 = 2^{3} \times 31 \times 109 \]27032 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 52800 |
| Euler totient φ(n) | 12960 |
| Square | 730729024 |
| Cube | 19753066976768 |
| Square root | 164.414111 (= 2√6758) |
| Digit sum / digital root | 14 / 5 |
| Collatz steps to 1 | 38 |
| Scientific notation | 2.7032 × |
27032 in other forms
| Form | Value |
|---|---|
| In words | twenty-seven thousand and thirty-two |
| Binary (base 2) | 110100110011000 |
| Octal (base 8) | 64630 |
| Hexadecimal (base 16) | 6998 |
| Base 3 | 1101002012 |
| As time | 27032 seconds = 7 h 30 min 32 s |
Is 27032 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (27032 ÷ 2 = 13516) | 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 (27032 ÷ 4 = 6758) | 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 5) | 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 (27032 ÷ 8 = 3379) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 5) | 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 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 27032 a prime number?
No. 27032 = × 31 × 109, so it is divisible by 2.
What are the factors of 27032?
1, 2, 4, 8, 31, 62, 109, 124, 218, 248, 436, 872, 3379, 6758, 13516, 27032.
What is 27032 in binary?
110100110011000 (hexadecimal 6998, octal 64630).
What is the square root of 27032?
About 164.4141, exactly 2√6758.
Is 27032 divisible by 3?
No. Its digits add up to 14, which is not a multiple of 3.
What is special about the number 27032?
It is a composite number with 16 divisors.