The number 13674
13674 is a composite number with 16 divisors. Its prime factorisation is 2 × 3 × 43 × 53. Divisors (16): 1, 2, 3, 6, 43, 53, 86, 106, 129, 159, 258, 318, 2279, 4558, 6837, 13674.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
13674 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
13674 is composite. Its prime factorisation is
- 3
The divisors add up to 28512; without 13674 itself that is 14838, so 13674 is abundant (14838 is more than 13674). Euler's totient φ(13674) = 4368 numbers up to 13674 share no factor with it.
- 4
The digits of 13674 add up to 21, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 58 steps to reach 1.
LaTeX source of the formulas on this page
\[ 13674 = 2 \times 3 \times 43 \times 53 \]
13674 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 28512 |
| Euler totient φ(n) | 4368 |
| Square | 186978276 |
| Cube | 2556740946024 |
| Square root | 116.935880 |
| Digit sum / digital root | 21 / 3 |
| Collatz steps to 1 | 58 |
| Scientific notation | 1.3674 × |
13674 in other forms
| Form | Value |
|---|---|
| In words | thirteen thousand six hundred and seventy-four |
| Binary (base 2) | 11010101101010 |
| Octal (base 8) | 32552 |
| Hexadecimal (base 16) | 356A |
| Base 3 | 200202110 |
| As time | 13674 seconds = 3 h 47 min 54 s |
Is 13674 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (13674 ÷ 2 = 6837) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (13674 ÷ 3 = 4558) | 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 (13674 ÷ 6 = 2279) | 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 3) | 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 1) | 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 13674 a prime number?
No. 13674 = 2 × 3 × 43 × 53, so it is divisible by 2.
What are the factors of 13674?
1, 2, 3, 6, 43, 53, 86, 106, 129, 159, 258, 318, 2279, 4558, 6837, 13674.
What is 13674 in binary?
11010101101010 (hexadecimal 356A, octal 32552).
What is the square root of 13674?
About 116.9359.
Is 13674 divisible by 3?
Yes. Its digits add up to 21, a multiple of 3.
What is special about the number 13674?
It is a composite number with 16 divisors.