The number 13467
13467 is a composite number with 6 divisors. Its prime factorisation is 3 Ć . Divisors (6): 1, 3, 67, 201, 4489, 13467.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
13467 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
13467 is composite. Its prime factorisation is
- 3
The divisors add up to 18228; without 13467 itself that is 4761, so 13467 is deficient (4761 is less than 13467). Euler's totient Ļ(13467) = 8844 numbers up to 13467 share no factor with it.
- 4
The digits of 13467 add up to 21, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 89 steps to reach 1.
LaTeX source of the formulas on this page
\[ 13467 = 3 \times 67^{2} \]13467 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 6 |
| Sum of divisors | 18228 |
| Euler totient Ļ(n) | 8844 |
| Square | 181360089 |
| Cube | 2442376318563 |
| Square root | 116.047404 (= 67ā3) |
| Digit sum / digital root | 21 / 3 |
| Collatz steps to 1 | 89 |
| Scientific notation | 1.3467 Ć |
13467 in other forms
| Form | Value |
|---|---|
| In words | thirteen thousand four hundred and sixty-seven |
| Binary (base 2) | 11010010011011 |
| Octal (base 8) | 32233 |
| Hexadecimal (base 16) | 349B |
| Base 3 | 200110210 |
| As time | 13467 seconds = 3 h 44 min 27 s |
Is 13467 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 | Yes (13467 Ć· 3 = 4489) | 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 3) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 6) | 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 3) | 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 3) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 3) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 13467 a prime number?
No. 13467 = 3 Ć , so it is divisible by 3.
What are the factors of 13467?
1, 3, 67, 201, 4489, 13467.
What is 13467 in binary?
11010010011011 (hexadecimal 349B, octal 32233).
What is the square root of 13467?
About 116.0474, exactly 67ā3.
Is 13467 divisible by 3?
Yes. Its digits add up to 21, a multiple of 3.
What is special about the number 13467?
It is a composite number with 6 divisors.