The number 13416
13416 is a composite number with 32 divisors. Its prime factorisation is × 3 × 13 × 43. Divisors (32): 1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 43, 52, 78, 86, 104 … 13416.
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How to work it out
- 1
13416 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
13416 is composite. Its prime factorisation is
- 3
The divisors add up to 36960; without 13416 itself that is 23544, so 13416 is abundant (23544 is more than 13416). Euler's totient φ(13416) = 4032 numbers up to 13416 share no factor with it.
- 4
The digits of 13416 add up to 15, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 45 steps to reach 1.
LaTeX source of the formulas on this page
\[ 13416 = 2^{3} \times 3 \times 13 \times 43 \]13416 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 32 |
| Sum of divisors | 36960 |
| Euler totient φ(n) | 4032 |
| Square | 179989056 |
| Cube | 2414733175296 |
| Square root | 115.827458 (= 2√3354) |
| Digit sum / digital root | 15 / 6 |
| Collatz steps to 1 | 45 |
| Scientific notation | 1.3416 × |
13416 in other forms
| Form | Value |
|---|---|
| In words | thirteen thousand four hundred and sixteen |
| Binary (base 2) | 11010001101000 |
| Octal (base 8) | 32150 |
| Hexadecimal (base 16) | 3468 |
| Base 3 | 200101220 |
| As time | 13416 seconds = 3 h 43 min 36 s |
Is 13416 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (13416 ÷ 2 = 6708) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (13416 ÷ 3 = 4472) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (13416 ÷ 4 = 3354) | 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 | Yes (13416 ÷ 6 = 2236) | 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 | Yes (13416 ÷ 8 = 1677) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 6) | 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 7) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (13416 ÷ 12 = 1118) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 13416 a prime number?
No. 13416 = × 3 × 13 × 43, so it is divisible by 2.
What are the factors of 13416?
1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 43, 52, 78, 86, 104, 129, 156, 172, 258, 312, 344, 516, 559, 1032, 1118, 1677, 2236, 3354, 4472, 6708, 13416.
What is 13416 in binary?
11010001101000 (hexadecimal 3468, octal 32150).
What is the square root of 13416?
About 115.8275, exactly 2√3354.
Is 13416 divisible by 3?
Yes. Its digits add up to 15, a multiple of 3.
What is special about the number 13416?
It is a composite number with 32 divisors.