The number 13280
13280 is a composite number with 24 divisors. Its prime factorisation is × 5 × 83. Divisors (24): 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 80, 83, 160, 166, 332, 415 … 13280.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
13280 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
13280 is composite. Its prime factorisation is
- 3
The divisors add up to 31752; without 13280 itself that is 18472, so 13280 is abundant (18472 is more than 13280). Euler's totient φ(13280) = 5248 numbers up to 13280 share no factor with it.
- 4
The digits of 13280 add up to 14, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 138 steps to reach 1.
LaTeX source of the formulas on this page
\[ 13280 = 2^{5} \times 5 \times 83 \]13280 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 31752 |
| Euler totient φ(n) | 5248 |
| Square | 176358400 |
| Cube | 2342039552000 |
| Square root | 115.238882 (= 4√830) |
| Digit sum / digital root | 14 / 5 |
| Collatz steps to 1 | 138 |
| Scientific notation | 1.328 × |
13280 in other forms
| Form | Value |
|---|---|
| In words | thirteen thousand two hundred and eighty |
| Binary (base 2) | 11001111100000 |
| Octal (base 8) | 31740 |
| Hexadecimal (base 16) | 33E0 |
| Base 3 | 200012212 |
| As time | 13280 seconds = 3 h 41 min 20 s |
Is 13280 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (13280 ÷ 2 = 6640) | 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 (13280 ÷ 4 = 3320) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (13280 ÷ 5 = 2656) | 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 1) | 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 (13280 ÷ 8 = 1660) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 5) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (13280 ÷ 10 = 1328) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 3) | 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 13280 a prime number?
No. 13280 = × 5 × 83, so it is divisible by 2.
What are the factors of 13280?
1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 80, 83, 160, 166, 332, 415, 664, 830, 1328, 1660, 2656, 3320, 6640, 13280.
What is 13280 in binary?
11001111100000 (hexadecimal 33E0, octal 31740).
What is the square root of 13280?
About 115.2389, exactly 4√830.
Is 13280 divisible by 3?
No. Its digits add up to 14, which is not a multiple of 3.
What is special about the number 13280?
It is a composite number with 24 divisors.