The number 13538
13538 is a composite number with 8 divisors. Its prime factorisation is 2 × 7 × 967. Divisors (8): 1, 2, 7, 14, 967, 1934, 6769, 13538.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
13538 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
13538 is composite. Its prime factorisation is
- 3
The divisors add up to 23232; without 13538 itself that is 9694, so 13538 is deficient (9694 is less than 13538). Euler's totient φ(13538) = 5796 numbers up to 13538 share no factor with it.
- 4
The digits of 13538 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
\[ 13538 = 2 \times 7 \times 967 \]
13538 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 23232 |
| Euler totient φ(n) | 5796 |
| Square | 183277444 |
| Cube | 2481210036872 |
| Square root | 116.352911 |
| Digit sum / digital root | 20 / 2 |
| Collatz steps to 1 | 45 |
| Scientific notation | 1.3538 × |
13538 in other forms
| Form | Value |
|---|---|
| In words | thirteen thousand five hundred and thirty-eight |
| Binary (base 2) | 11010011100010 |
| Octal (base 8) | 32342 |
| Hexadecimal (base 16) | 34E2 |
| Base 3 | 200120102 |
| As time | 13538 seconds = 3 h 45 min 38 s |
Is 13538 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (13538 ÷ 2 = 6769) | 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 | No (remainder 2) | 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 (13538 ÷ 7 = 1934) | 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 2) | 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 8) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 2) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 13538 a prime number?
No. 13538 = 2 × 7 × 967, so it is divisible by 2.
What are the factors of 13538?
1, 2, 7, 14, 967, 1934, 6769, 13538.
What is 13538 in binary?
11010011100010 (hexadecimal 34E2, octal 32342).
What is the square root of 13538?
About 116.3529.
Is 13538 divisible by 3?
No. Its digits add up to 20, which is not a multiple of 3.
What is special about the number 13538?
It is a composite number with 8 divisors.