The number 27832
27832 is a composite number with 24 divisors. Its prime factorisation is × × 71. Divisors (24): 1, 2, 4, 7, 8, 14, 28, 49, 56, 71, 98, 142, 196, 284, 392, 497 … 27832.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 27832: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
27832 is composite. Its prime factorisation is
- 3
The divisors add up to 61560; without 27832 itself that is 33728, so 27832 is abundant (33728 is more than 27832). Euler's totient φ(27832) = 11760 numbers up to 27832 share no factor with it.
- 4
The digits of 27832 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 59 steps to reach 1.
LaTeX source of the formulas on this page
\[ 27832 = 2^{3} \times 7^{2} \times 71 \]27832 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 61560 |
| Euler totient φ(n) | 11760 |
| Square | 774620224 |
| Cube | 21559230074368 |
| Square root | 166.829254 (= 14√142) |
| Digit sum / digital root | 22 / 4 |
| Collatz steps to 1 | 59 |
| Scientific notation | 2.7832 × |
27832 in other forms
| Form | Value |
|---|---|
| In words | twenty-seven thousand eight hundred and thirty-two |
| Binary (base 2) | 110110010111000 |
| Octal (base 8) | 66270 |
| Hexadecimal (base 16) | 6CB8 |
| Base 3 | 1102011211 |
| As time | 27832 seconds = 7 h 43 min 52 s |
Is 27832 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (27832 ÷ 2 = 13916) | 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 (27832 ÷ 4 = 6958) | 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 | Yes (27832 ÷ 7 = 3976) | 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 (27832 ÷ 8 = 3479) | 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 2) | 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 27832 a prime number?
No. 27832 = × × 71, so it is divisible by 2.
What are the factors of 27832?
1, 2, 4, 7, 8, 14, 28, 49, 56, 71, 98, 142, 196, 284, 392, 497, 568, 994, 1988, 3479, 3976, 6958, 13916, 27832.
What is 27832 in binary?
110110010111000 (hexadecimal 6CB8, octal 66270).
What is the square root of 27832?
About 166.8293, exactly 14√142.
Is 27832 divisible by 3?
No. Its digits add up to 22, which is not a multiple of 3.
What is special about the number 27832?
27832 is a happy number: repeatedly adding the squares of its digits reaches 1.