The number 13328
13328 is a composite number with 30 divisors. Its prime factorisation is × × 17. Divisors (30): 1, 2, 4, 7, 8, 14, 16, 17, 28, 34, 49, 56, 68, 98, 112, 119 … 13328.
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How to work it out
- 1
What is special about 13328: a Harshad number: divisible by its digit sum 17.
- 2
13328 is composite. Its prime factorisation is
- 3
The divisors add up to 31806; without 13328 itself that is 18478, so 13328 is abundant (18478 is more than 13328). Euler's totient φ(13328) = 5376 numbers up to 13328 share no factor with it.
- 4
The digits of 13328 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 32 steps to reach 1.
LaTeX source of the formulas on this page
\[ 13328 = 2^{4} \times 7^{2} \times 17 \]13328 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 30 |
| Sum of divisors | 31806 |
| Euler totient φ(n) | 5376 |
| Square | 177635584 |
| Cube | 2367527063552 |
| Square root | 115.446958 (= 28√17) |
| Digit sum / digital root | 17 / 8 |
| Collatz steps to 1 | 32 |
| Scientific notation | 1.3328 × |
13328 in other forms
| Form | Value |
|---|---|
| In words | thirteen thousand three hundred and twenty-eight |
| Binary (base 2) | 11010000010000 |
| Octal (base 8) | 32020 |
| Hexadecimal (base 16) | 3410 |
| Base 3 | 200021122 |
| As time | 13328 seconds = 3 h 42 min 8 s |
Is 13328 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (13328 ÷ 2 = 6664) | 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 (13328 ÷ 4 = 3332) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 3) | 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 | Yes (13328 ÷ 7 = 1904) | 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 (13328 ÷ 8 = 1666) | 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 8) | 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 | No (remainder 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 13328 a prime number?
No. 13328 = × × 17, so it is divisible by 2.
What are the factors of 13328?
1, 2, 4, 7, 8, 14, 16, 17, 28, 34, 49, 56, 68, 98, 112, 119, 136, 196, 238, 272, 392, 476, 784, 833, 952, 1666, 1904, 3332, 6664, 13328.
What is 13328 in binary?
11010000010000 (hexadecimal 3410, octal 32020).
What is the square root of 13328?
About 115.4470, exactly 28√17.
Is 13328 divisible by 3?
No. Its digits add up to 17, which is not a multiple of 3.
What is special about the number 13328?
13328 is a Harshad number: divisible by its digit sum 17.