The number 13667
13667 is a composite number with 4 divisors. Its prime factorisation is 79 × 173. Divisors (4): 1, 79, 173, 13667.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 13667: a semiprime: 79 × 173, the product of two primes.
- 2
13667 is composite. Its prime factorisation is
- 3
The divisors add up to 13920; without 13667 itself that is 253, so 13667 is deficient (253 is less than 13667). Euler's totient φ(13667) = 13416 numbers up to 13667 share no factor with it.
- 4
The digits of 13667 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 58 steps to reach 1.
LaTeX source of the formulas on this page
\[ 13667 = 79 \times 173 \]
13667 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 13920 |
| Euler totient φ(n) | 13416 |
| Square | 186786889 |
| Cube | 2552816411963 |
| Square root | 116.905945 |
| Digit sum / digital root | 23 / 5 |
| Collatz steps to 1 | 58 |
| Scientific notation | 1.3667 × |
13667 in other forms
| Form | Value |
|---|---|
| In words | thirteen thousand six hundred and sixty-seven |
| Binary (base 2) | 11010101100011 |
| Octal (base 8) | 32543 |
| Hexadecimal (base 16) | 3563 |
| Base 3 | 200202012 |
| As time | 13667 seconds = 3 h 47 min 47 s |
Is 13667 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 2) | 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 | No (remainder 2) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 5) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 3) | 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 5) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 7) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 5) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 11) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 13667 a prime number?
No. 13667 = 79 × 173, so it is divisible by 79.
What are the factors of 13667?
1, 79, 173, 13667.
What is 13667 in binary?
11010101100011 (hexadecimal 3563, octal 32543).
What is the square root of 13667?
About 116.9059.
Is 13667 divisible by 3?
No. Its digits add up to 23, which is not a multiple of 3.
What is special about the number 13667?
13667 is a semiprime: 79 × 173, the product of two primes.