The number 13588
13588 is a composite number with 12 divisors. Its prime factorisation is × 43 × 79. Divisors (12): 1, 2, 4, 43, 79, 86, 158, 172, 316, 3397, 6794, 13588.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
13588 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
13588 is composite. Its prime factorisation is
- 3
The divisors add up to 24640; without 13588 itself that is 11052, so 13588 is deficient (11052 is less than 13588). Euler's totient φ(13588) = 6552 numbers up to 13588 share no factor with it.
- 4
The digits of 13588 add up to 25, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 63 steps to reach 1.
LaTeX source of the formulas on this page
\[ 13588 = 2^{2} \times 43 \times 79 \]13588 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 24640 |
| Euler totient φ(n) | 6552 |
| Square | 184633744 |
| Cube | 2508803313472 |
| Square root | 116.567577 (= 2√3397) |
| Digit sum / digital root | 25 / 7 |
| Collatz steps to 1 | 63 |
| Scientific notation | 1.3588 × |
13588 in other forms
| Form | Value |
|---|---|
| In words | thirteen thousand five hundred and eighty-eight |
| Binary (base 2) | 11010100010100 |
| Octal (base 8) | 32424 |
| Hexadecimal (base 16) | 3514 |
| Base 3 | 200122021 |
| As time | 13588 seconds = 3 h 46 min 28 s |
Is 13588 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (13588 ÷ 2 = 6794) | 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 (13588 ÷ 4 = 3397) | 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 4) | 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 | No (remainder 4) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 7) | 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 3) | 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 13588 a prime number?
No. 13588 = × 43 × 79, so it is divisible by 2.
What are the factors of 13588?
1, 2, 4, 43, 79, 86, 158, 172, 316, 3397, 6794, 13588.
What is 13588 in binary?
11010100010100 (hexadecimal 3514, octal 32424).
What is the square root of 13588?
About 116.5676, exactly 2√3397.
Is 13588 divisible by 3?
No. Its digits add up to 25, which is not a multiple of 3.
What is special about the number 13588?
It is a composite number with 12 divisors.