The number 13964
13964 is a composite number with 6 divisors. Its prime factorisation is × 3491. Divisors (6): 1, 2, 4, 3491, 6982, 13964.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
13964 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
13964 is composite. Its prime factorisation is
- 3
The divisors add up to 24444; without 13964 itself that is 10480, so 13964 is deficient (10480 is less than 13964). Euler's totient φ(13964) = 6980 numbers up to 13964 share no factor with it.
- 4
The digits of 13964 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 151 steps to reach 1.
LaTeX source of the formulas on this page
\[ 13964 = 2^{2} \times 3491 \]13964 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 6 |
| Sum of divisors | 24444 |
| Euler totient φ(n) | 6980 |
| Square | 194993296 |
| Cube | 2722886385344 |
| Square root | 118.169370 (= 2√3491) |
| Digit sum / digital root | 23 / 5 |
| Collatz steps to 1 | 151 |
| Scientific notation | 1.3964 × |
13964 in other forms
| Form | Value |
|---|---|
| In words | thirteen thousand nine hundred and sixty-four |
| Binary (base 2) | 11011010001100 |
| Octal (base 8) | 33214 |
| Hexadecimal (base 16) | 368C |
| Base 3 | 201011012 |
| As time | 13964 seconds = 3 h 52 min 44 s |
Is 13964 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (13964 ÷ 2 = 6982) | 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 | Yes (13964 ÷ 4 = 3491) | 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 6) | 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 4) | 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 4) | 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 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 13964 a prime number?
No. 13964 = × 3491, so it is divisible by 2.
What are the factors of 13964?
1, 2, 4, 3491, 6982, 13964.
What is 13964 in binary?
11011010001100 (hexadecimal 368C, octal 33214).
What is the square root of 13964?
About 118.1694, exactly 2√3491.
Is 13964 divisible by 3?
No. Its digits add up to 23, which is not a multiple of 3.
What is special about the number 13964?
It is a composite number with 6 divisors.