The number 27416
27416 is a composite number with 16 divisors. Its prime factorisation is × 23 × 149. Divisors (16): 1, 2, 4, 8, 23, 46, 92, 149, 184, 298, 596, 1192, 3427, 6854, 13708, 27416.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
27416 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
27416 is composite. Its prime factorisation is
- 3
The divisors add up to 54000; without 27416 itself that is 26584, so 27416 is deficient (26584 is less than 27416). Euler's totient φ(27416) = 13024 numbers up to 27416 share no factor with it.
- 4
The digits of 27416 add up to 20, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 33 steps to reach 1.
LaTeX source of the formulas on this page
\[ 27416 = 2^{3} \times 23 \times 149 \]27416 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 54000 |
| Euler totient φ(n) | 13024 |
| Square | 751637056 |
| Cube | 20606881527296 |
| Square root | 165.577776 (= 2√6854) |
| Digit sum / digital root | 20 / 2 |
| Collatz steps to 1 | 33 |
| Scientific notation | 2.7416 × |
27416 in other forms
| Form | Value |
|---|---|
| In words | twenty-seven thousand four hundred and sixteen |
| Binary (base 2) | 110101100011000 |
| Octal (base 8) | 65430 |
| Hexadecimal (base 16) | 6B18 |
| Base 3 | 1101121102 |
| As time | 27416 seconds = 7 h 36 min 56 s |
Is 27416 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (27416 ÷ 2 = 13708) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 2) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (27416 ÷ 4 = 6854) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 1) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 2) | 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 | Yes (27416 ÷ 8 = 3427) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 2) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 6) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 4) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 27416 a prime number?
No. 27416 = × 23 × 149, so it is divisible by 2.
What are the factors of 27416?
1, 2, 4, 8, 23, 46, 92, 149, 184, 298, 596, 1192, 3427, 6854, 13708, 27416.
What is 27416 in binary?
110101100011000 (hexadecimal 6B18, octal 65430).
What is the square root of 27416?
About 165.5778, exactly 2√6854.
Is 27416 divisible by 3?
No. Its digits add up to 20, which is not a multiple of 3.
What is special about the number 27416?
It is a composite number with 16 divisors.