The number 27412
27412 is a composite number with 24 divisors. Its prime factorisation is × 7 × 11 × 89. Divisors (24): 1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 89, 154, 178, 308, 356, 623 … 27412.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
27412 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
27412 is composite. Its prime factorisation is
- 3
The divisors add up to 60480; without 27412 itself that is 33068, so 27412 is abundant (33068 is more than 27412). Euler's totient φ(27412) = 10560 numbers up to 27412 share no factor with it.
- 4
The digits of 27412 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 33 steps to reach 1.
LaTeX source of the formulas on this page
\[ 27412 = 2^{2} \times 7 \times 11 \times 89 \]27412 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 60480 |
| Euler totient φ(n) | 10560 |
| Square | 751417744 |
| Cube | 20597863198528 |
| Square root | 165.565697 (= 2√6853) |
| Digit sum / digital root | 16 / 7 |
| Collatz steps to 1 | 33 |
| Scientific notation | 2.7412 × |
27412 in other forms
| Form | Value |
|---|---|
| In words | twenty-seven thousand four hundred and twelve |
| Binary (base 2) | 110101100010100 |
| Octal (base 8) | 65424 |
| Hexadecimal (base 16) | 6B14 |
| Base 3 | 1101121021 |
| As time | 27412 seconds = 7 h 36 min 52 s |
Is 27412 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (27412 ÷ 2 = 13706) | 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 (27412 ÷ 4 = 6853) | 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 (27412 ÷ 7 = 3916) | 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 2) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (27412 ÷ 11 = 2492) | 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 27412 a prime number?
No. 27412 = × 7 × 11 × 89, so it is divisible by 2.
What are the factors of 27412?
1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 89, 154, 178, 308, 356, 623, 979, 1246, 1958, 2492, 3916, 6853, 13706, 27412.
What is 27412 in binary?
110101100010100 (hexadecimal 6B14, octal 65424).
What is the square root of 27412?
About 165.5657, exactly 2√6853.
Is 27412 divisible by 3?
No. Its digits add up to 16, which is not a multiple of 3.
What is special about the number 27412?
It is a composite number with 24 divisors.