The number 13516
13516 is a composite number with 12 divisors. Its prime factorisation is × 31 × 109. Divisors (12): 1, 2, 4, 31, 62, 109, 124, 218, 436, 3379, 6758, 13516.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
13516 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
13516 is composite. Its prime factorisation is
- 3
The divisors add up to 24640; without 13516 itself that is 11124, so 13516 is deficient (11124 is less than 13516). Euler's totient φ(13516) = 6480 numbers up to 13516 share no factor with it.
- 4
The digits of 13516 add up to 16, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 37 steps to reach 1.
LaTeX source of the formulas on this page
\[ 13516 = 2^{2} \times 31 \times 109 \]13516 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 24640 |
| Euler totient φ(n) | 6480 |
| Square | 182682256 |
| Cube | 2469133372096 |
| Square root | 116.258333 (= 2√3379) |
| Digit sum / digital root | 16 / 7 |
| Collatz steps to 1 | 37 |
| Scientific notation | 1.3516 × |
13516 in other forms
| Form | Value |
|---|---|
| In words | thirteen thousand five hundred and sixteen |
| Binary (base 2) | 11010011001100 |
| Octal (base 8) | 32314 |
| Hexadecimal (base 16) | 34CC |
| Base 3 | 200112121 |
| As time | 13516 seconds = 3 h 45 min 16 s |
Is 13516 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (13516 ÷ 2 = 6758) | 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 (13516 ÷ 4 = 3379) | 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 4) | 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 7) | 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 8) | 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 13516 a prime number?
No. 13516 = × 31 × 109, so it is divisible by 2.
What are the factors of 13516?
1, 2, 4, 31, 62, 109, 124, 218, 436, 3379, 6758, 13516.
What is 13516 in binary?
11010011001100 (hexadecimal 34CC, octal 32314).
What is the square root of 13516?
About 116.2583, exactly 2√3379.
Is 13516 divisible by 3?
No. Its digits add up to 16, which is not a multiple of 3.
What is special about the number 13516?
It is a composite number with 12 divisors.