The number 13675
13675 is a composite number with 6 divisors. Its prime factorisation is Ć 547. Divisors (6): 1, 5, 25, 547, 2735, 13675.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
13675 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
13675 is composite. Its prime factorisation is
- 3
The divisors add up to 16988; without 13675 itself that is 3313, so 13675 is deficient (3313 is less than 13675). Euler's totient Ļ(13675) = 10920 numbers up to 13675 share no factor with it.
- 4
The digits of 13675 add up to 22, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 182 steps to reach 1.
LaTeX source of the formulas on this page
\[ 13675 = 5^{2} \times 547 \]13675 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 6 |
| Sum of divisors | 16988 |
| Euler totient Ļ(n) | 10920 |
| Square | 187005625 |
| Cube | 2557301921875 |
| Square root | 116.940156 (= 5ā547) |
| Digit sum / digital root | 22 / 4 |
| Collatz steps to 1 | 182 |
| Scientific notation | 1.3675 Ć |
13675 in other forms
| Form | Value |
|---|---|
| In words | thirteen thousand six hundred and seventy-five |
| Binary (base 2) | 11010101101011 |
| Octal (base 8) | 32553 |
| Hexadecimal (base 16) | 356B |
| Base 3 | 200202111 |
| As time | 13675 seconds = 3 h 47 min 55 s |
Is 13675 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | No (remainder 1) | 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 | No (remainder 3) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (13675 Ć· 5 = 2735) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 1) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 4) | 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 3) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 4) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 5) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 2) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 7) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 13675 a prime number?
No. 13675 = Ć 547, so it is divisible by 5.
What are the factors of 13675?
1, 5, 25, 547, 2735, 13675.
What is 13675 in binary?
11010101101011 (hexadecimal 356B, octal 32553).
What is the square root of 13675?
About 116.9402, exactly 5ā547.
Is 13675 divisible by 3?
No. Its digits add up to 22, which is not a multiple of 3.
What is special about the number 13675?
It is a composite number with 6 divisors.