The number 13436
13436 is a composite number with 6 divisors. Its prime factorisation is × 3359. Divisors (6): 1, 2, 4, 3359, 6718, 13436.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
13436 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
13436 is composite. Its prime factorisation is
- 3
The divisors add up to 23520; without 13436 itself that is 10084, so 13436 is deficient (10084 is less than 13436). Euler's totient φ(13436) = 6716 numbers up to 13436 share no factor with it.
- 4
The digits of 13436 add up to 17, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 138 steps to reach 1.
LaTeX source of the formulas on this page
\[ 13436 = 2^{2} \times 3359 \]13436 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 6 |
| Sum of divisors | 23520 |
| Euler totient φ(n) | 6716 |
| Square | 180526096 |
| Cube | 2425548625856 |
| Square root | 115.913761 (= 2√3359) |
| Digit sum / digital root | 17 / 8 |
| Collatz steps to 1 | 138 |
| Scientific notation | 1.3436 × |
13436 in other forms
| Form | Value |
|---|---|
| In words | thirteen thousand four hundred and thirty-six |
| Binary (base 2) | 11010001111100 |
| Octal (base 8) | 32174 |
| Hexadecimal (base 16) | 347C |
| Base 3 | 200102122 |
| As time | 13436 seconds = 3 h 43 min 56 s |
Is 13436 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (13436 ÷ 2 = 6718) | 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 (13436 ÷ 4 = 3359) | 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 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 | No (remainder 4) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 8) | 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 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 13436 a prime number?
No. 13436 = × 3359, so it is divisible by 2.
What are the factors of 13436?
1, 2, 4, 3359, 6718, 13436.
What is 13436 in binary?
11010001111100 (hexadecimal 347C, octal 32174).
What is the square root of 13436?
About 115.9138, exactly 2√3359.
Is 13436 divisible by 3?
No. Its digits add up to 17, which is not a multiple of 3.
What is special about the number 13436?
It is a composite number with 6 divisors.