The number 13678
13678 is a composite number with 8 divisors. Its prime factorisation is 2 × 7 × 977. Divisors (8): 1, 2, 7, 14, 977, 1954, 6839, 13678.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
13678 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
13678 is composite. Its prime factorisation is
- 3
The divisors add up to 23472; without 13678 itself that is 9794, so 13678 is deficient (9794 is less than 13678). Euler's totient φ(13678) = 5856 numbers up to 13678 share no factor with it.
- 4
The digits of 13678 add up to 25, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 151 steps to reach 1.
LaTeX source of the formulas on this page
\[ 13678 = 2 \times 7 \times 977 \]
13678 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 23472 |
| Euler totient φ(n) | 5856 |
| Square | 187087684 |
| Cube | 2558985341752 |
| Square root | 116.952982 |
| Digit sum / digital root | 25 / 7 |
| Collatz steps to 1 | 151 |
| Scientific notation | 1.3678 × |
13678 in other forms
| Form | Value |
|---|---|
| In words | thirteen thousand six hundred and seventy-eight |
| Binary (base 2) | 11010101101110 |
| Octal (base 8) | 32556 |
| Hexadecimal (base 16) | 356E |
| Base 3 | 200202121 |
| As time | 13678 seconds = 3 h 47 min 58 s |
Is 13678 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (13678 ÷ 2 = 6839) | 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 | No (remainder 2) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 3) | 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 (13678 ÷ 7 = 1954) | 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 6) | 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 8) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 5) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 10) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 13678 a prime number?
No. 13678 = 2 × 7 × 977, so it is divisible by 2.
What are the factors of 13678?
1, 2, 7, 14, 977, 1954, 6839, 13678.
What is 13678 in binary?
11010101101110 (hexadecimal 356E, octal 32556).
What is the square root of 13678?
About 116.9530.
Is 13678 divisible by 3?
No. Its digits add up to 25, which is not a multiple of 3.
What is special about the number 13678?
It is a composite number with 8 divisors.