The number 27232
27232 is a composite number with 24 divisors. Its prime factorisation is × 23 × 37. Divisors (24): 1, 2, 4, 8, 16, 23, 32, 37, 46, 74, 92, 148, 184, 296, 368, 592 … 27232.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 27232: a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 16.
- 2
27232 is composite. Its prime factorisation is
- 3
The divisors add up to 57456; without 27232 itself that is 30224, so 27232 is abundant (30224 is more than 27232). Euler's totient φ(27232) = 12672 numbers up to 27232 share no factor with it.
- 4
The digits of 27232 add up to 16, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 64 steps to reach 1.
LaTeX source of the formulas on this page
\[ 27232 = 2^{5} \times 23 \times 37 \]27232 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 57456 |
| Euler totient φ(n) | 12672 |
| Square | 741581824 |
| Cube | 20194756231168 |
| Square root | 165.021211 (= 4√1702) |
| Digit sum / digital root | 16 / 7 |
| Collatz steps to 1 | 64 |
| Scientific notation | 2.7232 × |
27232 in other forms
| Form | Value |
|---|---|
| In words | twenty-seven thousand two hundred and thirty-two |
| Binary (base 2) | 110101001100000 |
| Octal (base 8) | 65140 |
| Hexadecimal (base 16) | 6A60 |
| Base 3 | 1101100121 |
| As time | 27232 seconds = 7 h 33 min 52 s |
Is 27232 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (27232 ÷ 2 = 13616) | 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 (27232 ÷ 4 = 6808) | 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 | No (remainder 2) | 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 (27232 ÷ 8 = 3404) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 7) | 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 | No (remainder 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 27232 a prime number?
No. 27232 = × 23 × 37, so it is divisible by 2.
What are the factors of 27232?
1, 2, 4, 8, 16, 23, 32, 37, 46, 74, 92, 148, 184, 296, 368, 592, 736, 851, 1184, 1702, 3404, 6808, 13616, 27232.
What is 27232 in binary?
110101001100000 (hexadecimal 6A60, octal 65140).
What is the square root of 27232?
About 165.0212, exactly 4√1702.
Is 27232 divisible by 3?
No. Its digits add up to 16, which is not a multiple of 3.
What is special about the number 27232?
27232 is a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 16.