The number 13564
13564 is a composite number with 6 divisors. Its prime factorisation is × 3391. Divisors (6): 1, 2, 4, 3391, 6782, 13564.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
13564 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
13564 is composite. Its prime factorisation is
- 3
The divisors add up to 23744; without 13564 itself that is 10180, so 13564 is deficient (10180 is less than 13564). Euler's totient φ(13564) = 6780 numbers up to 13564 share no factor with it.
- 4
The digits of 13564 add up to 19, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 182 steps to reach 1.
LaTeX source of the formulas on this page
\[ 13564 = 2^{2} \times 3391 \]13564 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 6 |
| Sum of divisors | 23744 |
| Euler totient φ(n) | 6780 |
| Square | 183982096 |
| Cube | 2495533150144 |
| Square root | 116.464587 (= 2√3391) |
| Digit sum / digital root | 19 / 1 |
| Collatz steps to 1 | 182 |
| Scientific notation | 1.3564 × |
13564 in other forms
| Form | Value |
|---|---|
| In words | thirteen thousand five hundred and sixty-four |
| Binary (base 2) | 11010011111100 |
| Octal (base 8) | 32374 |
| Hexadecimal (base 16) | 34FC |
| Base 3 | 200121101 |
| As time | 13564 seconds = 3 h 46 min 4 s |
Is 13564 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (13564 ÷ 2 = 6782) | 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 | Yes (13564 ÷ 4 = 3391) | 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 4) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 5) | 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 1) | 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 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 13564 a prime number?
No. 13564 = × 3391, so it is divisible by 2.
What are the factors of 13564?
1, 2, 4, 3391, 6782, 13564.
What is 13564 in binary?
11010011111100 (hexadecimal 34FC, octal 32374).
What is the square root of 13564?
About 116.4646, exactly 2√3391.
Is 13564 divisible by 3?
No. Its digits add up to 19, which is not a multiple of 3.
What is special about the number 13564?
It is a composite number with 6 divisors.