The number 13676
13676 is a composite number with 12 divisors. Its prime factorisation is × 13 × 263. Divisors (12): 1, 2, 4, 13, 26, 52, 263, 526, 1052, 3419, 6838, 13676.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
13676 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
13676 is composite. Its prime factorisation is
- 3
The divisors add up to 25872; without 13676 itself that is 12196, so 13676 is deficient (12196 is less than 13676). Euler's totient φ(13676) = 6288 numbers up to 13676 share no factor with it.
- 4
The digits of 13676 add up to 23, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 151 steps to reach 1.
LaTeX source of the formulas on this page
\[ 13676 = 2^{2} \times 13 \times 263 \]13676 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 25872 |
| Euler totient φ(n) | 6288 |
| Square | 187032976 |
| Cube | 2557862979776 |
| Square root | 116.944431 (= 2√3419) |
| Digit sum / digital root | 23 / 5 |
| Collatz steps to 1 | 151 |
| Scientific notation | 1.3676 × |
13676 in other forms
| Form | Value |
|---|---|
| In words | thirteen thousand six hundred and seventy-six |
| Binary (base 2) | 11010101101100 |
| Octal (base 8) | 32554 |
| Hexadecimal (base 16) | 356C |
| Base 3 | 200202112 |
| As time | 13676 seconds = 3 h 47 min 56 s |
Is 13676 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (13676 ÷ 2 = 6838) | 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 (13676 ÷ 4 = 3419) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 1) | 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 | No (remainder 4) | 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 | No (remainder 6) | 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 13676 a prime number?
No. 13676 = × 13 × 263, so it is divisible by 2.
What are the factors of 13676?
1, 2, 4, 13, 26, 52, 263, 526, 1052, 3419, 6838, 13676.
What is 13676 in binary?
11010101101100 (hexadecimal 356C, octal 32554).
What is the square root of 13676?
About 116.9444, exactly 2√3419.
Is 13676 divisible by 3?
No. Its digits add up to 23, which is not a multiple of 3.
What is special about the number 13676?
It is a composite number with 12 divisors.