The number 13088
13088 is a composite number with 12 divisors. Its prime factorisation is × 409. Divisors (12): 1, 2, 4, 8, 16, 32, 409, 818, 1636, 3272, 6544, 13088.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
13088 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
13088 is composite. Its prime factorisation is
- 3
The divisors add up to 25830; without 13088 itself that is 12742, so 13088 is deficient (12742 is less than 13088). Euler's totient φ(13088) = 6528 numbers up to 13088 share no factor with it.
- 4
The digits of 13088 add up to 20, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 45 steps to reach 1.
LaTeX source of the formulas on this page
\[ 13088 = 2^{5} \times 409 \]13088 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 25830 |
| Euler totient φ(n) | 6528 |
| Square | 171295744 |
| Cube | 2241918697472 |
| Square root | 114.402797 (= 4√818) |
| Digit sum / digital root | 20 / 2 |
| Collatz steps to 1 | 45 |
| Scientific notation | 1.3088 × |
13088 in other forms
| Form | Value |
|---|---|
| In words | thirteen thousand and eighty-eight |
| Binary (base 2) | 11001100100000 |
| Octal (base 8) | 31440 |
| Hexadecimal (base 16) | 3320 |
| Base 3 | 122221202 |
| As time | 13088 seconds = 3 h 38 min 8 s |
Is 13088 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (13088 ÷ 2 = 6544) | 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 (13088 ÷ 4 = 3272) | 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 | No (remainder 5) | 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 (13088 ÷ 8 = 1636) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 2) | 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 9) | 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 13088 a prime number?
No. 13088 = × 409, so it is divisible by 2.
What are the factors of 13088?
1, 2, 4, 8, 16, 32, 409, 818, 1636, 3272, 6544, 13088.
What is 13088 in binary?
11001100100000 (hexadecimal 3320, octal 31440).
What is the square root of 13088?
About 114.4028, exactly 4√818.
Is 13088 divisible by 3?
No. Its digits add up to 20, which is not a multiple of 3.
What is special about the number 13088?
It is a composite number with 12 divisors.