The number 13216
13216 is a composite number with 24 divisors. Its prime factorisation is × 7 × 59. Divisors (24): 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 59, 112, 118, 224, 236, 413 … 13216.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
13216 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
13216 is composite. Its prime factorisation is
- 3
The divisors add up to 30240; without 13216 itself that is 17024, so 13216 is abundant (17024 is more than 13216). Euler's totient φ(13216) = 5568 numbers up to 13216 share no factor with it.
- 4
The digits of 13216 add up to 13, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 94 steps to reach 1.
LaTeX source of the formulas on this page
\[ 13216 = 2^{5} \times 7 \times 59 \]13216 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 30240 |
| Euler totient φ(n) | 5568 |
| Square | 174662656 |
| Cube | 2308341661696 |
| Square root | 114.960863 (= 4√826) |
| Digit sum / digital root | 13 / 4 |
| Collatz steps to 1 | 94 |
| Scientific notation | 1.3216 × |
13216 in other forms
| Form | Value |
|---|---|
| In words | thirteen thousand two hundred and sixteen |
| Binary (base 2) | 11001110100000 |
| Octal (base 8) | 31640 |
| Hexadecimal (base 16) | 33A0 |
| Base 3 | 200010111 |
| As time | 13216 seconds = 3 h 40 min 16 s |
Is 13216 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (13216 ÷ 2 = 6608) | 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 (13216 ÷ 4 = 3304) | 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 | Yes (13216 ÷ 7 = 1888) | 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 (13216 ÷ 8 = 1652) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 4) | 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 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 13216 a prime number?
No. 13216 = × 7 × 59, so it is divisible by 2.
What are the factors of 13216?
1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 59, 112, 118, 224, 236, 413, 472, 826, 944, 1652, 1888, 3304, 6608, 13216.
What is 13216 in binary?
11001110100000 (hexadecimal 33A0, octal 31640).
What is the square root of 13216?
About 114.9609, exactly 4√826.
Is 13216 divisible by 3?
No. Its digits add up to 13, which is not a multiple of 3.
What is special about the number 13216?
It is a composite number with 24 divisors.