The number 13673
13673 is a composite number with 6 divisors. Its prime factorisation is Ć 113. Divisors (6): 1, 11, 113, 121, 1243, 13673.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
13673 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
13673 is composite. Its prime factorisation is
- 3
The divisors add up to 15162; without 13673 itself that is 1489, so 13673 is deficient (1489 is less than 13673). Euler's totient Ļ(13673) = 12320 numbers up to 13673 share no factor with it.
- 4
The digits of 13673 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 151 steps to reach 1.
LaTeX source of the formulas on this page
\[ 13673 = 11^{2} \times 113 \]13673 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 6 |
| Sum of divisors | 15162 |
| Euler totient Ļ(n) | 12320 |
| Square | 186950929 |
| Cube | 2556180052217 |
| Square root | 116.931604 (= 11ā113) |
| Digit sum / digital root | 20 / 2 |
| Collatz steps to 1 | 151 |
| Scientific notation | 1.3673 Ć |
13673 in other forms
| Form | Value |
|---|---|
| In words | thirteen thousand six hundred and seventy-three |
| Binary (base 2) | 11010101101001 |
| Octal (base 8) | 32551 |
| Hexadecimal (base 16) | 3569 |
| Base 3 | 200202102 |
| As time | 13673 seconds = 3 h 47 min 53 s |
Is 13673 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 1) | 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 5) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 2) | 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 1) | 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 3) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (13673 Ć· 11 = 1243) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 5) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 13673 a prime number?
No. 13673 = Ć 113, so it is divisible by 11.
What are the factors of 13673?
1, 11, 113, 121, 1243, 13673.
What is 13673 in binary?
11010101101001 (hexadecimal 3569, octal 32551).
What is the square root of 13673?
About 116.9316, exactly 11ā113.
Is 13673 divisible by 3?
No. Its digits add up to 20, which is not a multiple of 3.
What is special about the number 13673?
It is a composite number with 6 divisors.