The number 27124
27124 is a composite number with 6 divisors. Its prime factorisation is × 6781. Divisors (6): 1, 2, 4, 6781, 13562, 27124.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
27124 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
27124 is composite. Its prime factorisation is
- 3
The divisors add up to 47474; without 27124 itself that is 20350, so 27124 is deficient (20350 is less than 27124). Euler's totient φ(27124) = 13560 numbers up to 27124 share no factor with it.
- 4
The digits of 27124 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 183 steps to reach 1.
LaTeX source of the formulas on this page
\[ 27124 = 2^{2} \times 6781 \]27124 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 6 |
| Sum of divisors | 47474 |
| Euler totient φ(n) | 13560 |
| Square | 735711376 |
| Cube | 19955435362624 |
| Square root | 164.693655 (= 2√6781) |
| Digit sum / digital root | 16 / 7 |
| Collatz steps to 1 | 183 |
| Scientific notation | 2.7124 × |
27124 in other forms
| Form | Value |
|---|---|
| In words | twenty-seven thousand one hundred and twenty-four |
| Binary (base 2) | 110100111110100 |
| Octal (base 8) | 64764 |
| Hexadecimal (base 16) | 69F4 |
| Base 3 | 1101012121 |
| As time | 27124 seconds = 7 h 32 min 4 s |
Is 27124 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (27124 ÷ 2 = 13562) | 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 (27124 ÷ 4 = 6781) | 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 | No (remainder 4) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 6) | 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 4) | 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 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 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 27124 a prime number?
No. 27124 = × 6781, so it is divisible by 2.
What are the factors of 27124?
1, 2, 4, 6781, 13562, 27124.
What is 27124 in binary?
110100111110100 (hexadecimal 69F4, octal 64764).
What is the square root of 27124?
About 164.6937, exactly 2√6781.
Is 27124 divisible by 3?
No. Its digits add up to 16, which is not a multiple of 3.
What is special about the number 27124?
It is a composite number with 6 divisors.