The number 13556
13556 is a composite number with 6 divisors. Its prime factorisation is × 3389. Divisors (6): 1, 2, 4, 3389, 6778, 13556.
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How to work it out
- 1
13556 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
13556 is composite. Its prime factorisation is
- 3
The divisors add up to 23730; without 13556 itself that is 10174, so 13556 is deficient (10174 is less than 13556). Euler's totient φ(13556) = 6776 numbers up to 13556 share no factor with it.
- 4
The digits of 13556 add up to 20, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 37 steps to reach 1.
LaTeX source of the formulas on this page
\[ 13556 = 2^{2} \times 3389 \]13556 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 6 |
| Sum of divisors | 23730 |
| Euler totient φ(n) | 6776 |
| Square | 183765136 |
| Cube | 2491120183616 |
| Square root | 116.430237 (= 2√3389) |
| Digit sum / digital root | 20 / 2 |
| Collatz steps to 1 | 37 |
| Scientific notation | 1.3556 × |
13556 in other forms
| Form | Value |
|---|---|
| In words | thirteen thousand five hundred and fifty-six |
| Binary (base 2) | 11010011110100 |
| Octal (base 8) | 32364 |
| Hexadecimal (base 16) | 34F4 |
| Base 3 | 200121002 |
| As time | 13556 seconds = 3 h 45 min 56 s |
Is 13556 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (13556 ÷ 2 = 6778) | 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 (13556 ÷ 4 = 3389) | 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 4) | 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 2) | 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 4) | 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 13556 a prime number?
No. 13556 = × 3389, so it is divisible by 2.
What are the factors of 13556?
1, 2, 4, 3389, 6778, 13556.
What is 13556 in binary?
11010011110100 (hexadecimal 34F4, octal 32364).
What is the square root of 13556?
About 116.4302, exactly 2√3389.
Is 13556 divisible by 3?
No. Its digits add up to 20, which is not a multiple of 3.
What is special about the number 13556?
It is a composite number with 6 divisors.