The number 27234
27234 is a composite number with 24 divisors. Its prime factorisation is 2 × × 17 × 89. Divisors (24): 1, 2, 3, 6, 9, 17, 18, 34, 51, 89, 102, 153, 178, 267, 306, 534 … 27234.
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How to work it out
- 1
What is special about 27234: a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 18.
- 2
27234 is composite. Its prime factorisation is
- 3
The divisors add up to 63180; without 27234 itself that is 35946, so 27234 is abundant (35946 is more than 27234). Euler's totient φ(27234) = 8448 numbers up to 27234 share no factor with it.
- 4
The digits of 27234 add up to 18, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 183 steps to reach 1.
LaTeX source of the formulas on this page
\[ 27234 = 2 \times 3^{2} \times 17 \times 89 \]27234 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 63180 |
| Euler totient φ(n) | 8448 |
| Square | 741690756 |
| Cube | 20199206048904 |
| Square root | 165.027270 (= 3√3026) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 183 |
| Scientific notation | 2.7234 × |
27234 in other forms
| Form | Value |
|---|---|
| In words | twenty-seven thousand two hundred and thirty-four |
| Binary (base 2) | 110101001100010 |
| Octal (base 8) | 65142 |
| Hexadecimal (base 16) | 6A62 |
| Base 3 | 1101100200 |
| As time | 27234 seconds = 7 h 33 min 54 s |
Is 27234 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (27234 ÷ 2 = 13617) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (27234 ÷ 3 = 9078) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 2) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 4) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (27234 ÷ 6 = 4539) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 4) | 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 | No (remainder 2) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (27234 ÷ 9 = 3026) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 4) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 9) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 6) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 27234 a prime number?
No. 27234 = 2 × × 17 × 89, so it is divisible by 2.
What are the factors of 27234?
1, 2, 3, 6, 9, 17, 18, 34, 51, 89, 102, 153, 178, 267, 306, 534, 801, 1513, 1602, 3026, 4539, 9078, 13617, 27234.
What is 27234 in binary?
110101001100010 (hexadecimal 6A62, octal 65142).
What is the square root of 27234?
About 165.0273, exactly 3√3026.
Is 27234 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 27234?
27234 is a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 18.