The number 13468
13468 is a composite number with 24 divisors. Its prime factorisation is × 7 × 13 × 37. Divisors (24): 1, 2, 4, 7, 13, 14, 26, 28, 37, 52, 74, 91, 148, 182, 259, 364 … 13468.
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How to work it out
- 1
13468 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
13468 is composite. Its prime factorisation is
- 3
The divisors add up to 29792; without 13468 itself that is 16324, so 13468 is abundant (16324 is more than 13468). Euler's totient φ(13468) = 5184 numbers up to 13468 share no factor with it.
- 4
The digits of 13468 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 89 steps to reach 1.
LaTeX source of the formulas on this page
\[ 13468 = 2^{2} \times 7 \times 13 \times 37 \]13468 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 29792 |
| Euler totient φ(n) | 5184 |
| Square | 181387024 |
| Cube | 2442920439232 |
| Square root | 116.051713 (= 2√3367) |
| Digit sum / digital root | 22 / 4 |
| Collatz steps to 1 | 89 |
| Scientific notation | 1.3468 × |
13468 in other forms
| Form | Value |
|---|---|
| In words | thirteen thousand four hundred and sixty-eight |
| Binary (base 2) | 11010010011100 |
| Octal (base 8) | 32234 |
| Hexadecimal (base 16) | 349C |
| Base 3 | 200110211 |
| As time | 13468 seconds = 3 h 44 min 28 s |
Is 13468 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (13468 ÷ 2 = 6734) | 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 | Yes (13468 ÷ 4 = 3367) | 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 4) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (13468 ÷ 7 = 1924) | 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 4) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 8) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 4) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 13468 a prime number?
No. 13468 = × 7 × 13 × 37, so it is divisible by 2.
What are the factors of 13468?
1, 2, 4, 7, 13, 14, 26, 28, 37, 52, 74, 91, 148, 182, 259, 364, 481, 518, 962, 1036, 1924, 3367, 6734, 13468.
What is 13468 in binary?
11010010011100 (hexadecimal 349C, octal 32234).
What is the square root of 13468?
About 116.0517, exactly 2√3367.
Is 13468 divisible by 3?
No. Its digits add up to 22, which is not a multiple of 3.
What is special about the number 13468?
It is a composite number with 24 divisors.