The number 13968
13968 is a composite number with 30 divisors. Its prime factorisation is × × 97. Divisors (30): 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 97, 144 … 13968.
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How to work it out
- 1
13968 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
13968 is composite. Its prime factorisation is
- 3
The divisors add up to 39494; without 13968 itself that is 25526, so 13968 is abundant (25526 is more than 13968). Euler's totient φ(13968) = 4608 numbers up to 13968 share no factor with it.
- 4
The digits of 13968 add up to 27, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 151 steps to reach 1.
LaTeX source of the formulas on this page
\[ 13968 = 2^{4} \times 3^{2} \times 97 \]13968 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 30 |
| Sum of divisors | 39494 |
| Euler totient φ(n) | 4608 |
| Square | 195105024 |
| Cube | 2725226975232 |
| Square root | 118.186294 (= 12√97) |
| Digit sum / digital root | 27 / 9 |
| Collatz steps to 1 | 151 |
| Scientific notation | 1.3968 × |
13968 in other forms
| Form | Value |
|---|---|
| In words | thirteen thousand nine hundred and sixty-eight |
| Binary (base 2) | 11011010010000 |
| Octal (base 8) | 33220 |
| Hexadecimal (base 16) | 3690 |
| Base 3 | 201011100 |
| As time | 13968 seconds = 3 h 52 min 48 s |
Is 13968 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (13968 ÷ 2 = 6984) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (13968 ÷ 3 = 4656) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (13968 ÷ 4 = 3492) | 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 | Yes (13968 ÷ 6 = 2328) | 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 | Yes (13968 ÷ 8 = 1746) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (13968 ÷ 9 = 1552) | 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 9) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (13968 ÷ 12 = 1164) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 13968 a prime number?
No. 13968 = × × 97, so it is divisible by 2.
What are the factors of 13968?
1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 97, 144, 194, 291, 388, 582, 776, 873, 1164, 1552, 1746, 2328, 3492, 4656, 6984, 13968.
What is 13968 in binary?
11011010010000 (hexadecimal 3690, octal 33220).
What is the square root of 13968?
About 118.1863, exactly 12√97.
Is 13968 divisible by 3?
Yes. Its digits add up to 27, a multiple of 3.
What is special about the number 13968?
It is a composite number with 30 divisors.