The number 27674
27674 is a composite number with 8 divisors. Its prime factorisation is 2 × 101 × 137. Divisors (8): 1, 2, 101, 137, 202, 274, 13837, 27674.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
27674 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
27674 is composite. Its prime factorisation is
- 3
The divisors add up to 42228; without 27674 itself that is 14554, so 27674 is deficient (14554 is less than 27674). Euler's totient φ(27674) = 13600 numbers up to 27674 share no factor with it.
- 4
The digits of 27674 add up to 26, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 108 steps to reach 1.
LaTeX source of the formulas on this page
\[ 27674 = 2 \times 101 \times 137 \]
27674 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 42228 |
| Euler totient φ(n) | 13600 |
| Square | 765850276 |
| Cube | 21194140538024 |
| Square root | 166.355042 |
| Digit sum / digital root | 26 / 8 |
| Collatz steps to 1 | 108 |
| Scientific notation | 2.7674 × |
27674 in other forms
| Form | Value |
|---|---|
| In words | twenty-seven thousand six hundred and seventy-four |
| Binary (base 2) | 110110000011010 |
| Octal (base 8) | 66032 |
| Hexadecimal (base 16) | 6C1A |
| Base 3 | 1101221222 |
| As time | 27674 seconds = 7 h 41 min 14 s |
Is 27674 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (27674 ÷ 2 = 13837) | 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 | 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 | No (remainder 2) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 3) | 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 | No (remainder 8) | 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 2) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 27674 a prime number?
No. 27674 = 2 × 101 × 137, so it is divisible by 2.
What are the factors of 27674?
1, 2, 101, 137, 202, 274, 13837, 27674.
What is 27674 in binary?
110110000011010 (hexadecimal 6C1A, octal 66032).
What is the square root of 27674?
About 166.3550.
Is 27674 divisible by 3?
No. Its digits add up to 26, which is not a multiple of 3.
What is special about the number 27674?
It is a composite number with 8 divisors.