The number 13946
13946 is a composite number with 8 divisors. Its prime factorisation is 2 × 19 × 367. Divisors (8): 1, 2, 19, 38, 367, 734, 6973, 13946.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
13946 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
13946 is composite. Its prime factorisation is
- 3
The divisors add up to 22080; without 13946 itself that is 8134, so 13946 is deficient (8134 is less than 13946). Euler's totient φ(13946) = 6588 numbers up to 13946 share no factor with it.
- 4
The digits of 13946 add up to 23, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 182 steps to reach 1.
LaTeX source of the formulas on this page
\[ 13946 = 2 \times 19 \times 367 \]
13946 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 22080 |
| Euler totient φ(n) | 6588 |
| Square | 194490916 |
| Cube | 2712370314536 |
| Square root | 118.093184 |
| Digit sum / digital root | 23 / 5 |
| Collatz steps to 1 | 182 |
| Scientific notation | 1.3946 × |
13946 in other forms
| Form | Value |
|---|---|
| In words | thirteen thousand nine hundred and forty-six |
| Binary (base 2) | 11011001111010 |
| Octal (base 8) | 33172 |
| Hexadecimal (base 16) | 367A |
| Base 3 | 201010112 |
| As time | 13946 seconds = 3 h 52 min 26 s |
Is 13946 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (13946 ÷ 2 = 6973) | 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 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 2) | 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 5) | 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 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 13946 a prime number?
No. 13946 = 2 × 19 × 367, so it is divisible by 2.
What are the factors of 13946?
1, 2, 19, 38, 367, 734, 6973, 13946.
What is 13946 in binary?
11011001111010 (hexadecimal 367A, octal 33172).
What is the square root of 13946?
About 118.0932.
Is 13946 divisible by 3?
No. Its digits add up to 23, which is not a multiple of 3.
What is special about the number 13946?
It is a composite number with 8 divisors.