The number 13064
13064 is a composite number with 16 divisors. Its prime factorisation is × 23 × 71. Divisors (16): 1, 2, 4, 8, 23, 46, 71, 92, 142, 184, 284, 568, 1633, 3266, 6532, 13064.
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How to work it out
- 1
13064 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
13064 is composite. Its prime factorisation is
- 3
The divisors add up to 25920; without 13064 itself that is 12856, so 13064 is deficient (12856 is less than 13064). Euler's totient φ(13064) = 6160 numbers up to 13064 share no factor with it.
- 4
The digits of 13064 add up to 14, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 138 steps to reach 1.
LaTeX source of the formulas on this page
\[ 13064 = 2^{3} \times 23 \times 71 \]13064 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 25920 |
| Euler totient φ(n) | 6160 |
| Square | 170668096 |
| Cube | 2229608006144 |
| Square root | 114.297856 (= 2√3266) |
| Digit sum / digital root | 14 / 5 |
| Collatz steps to 1 | 138 |
| Scientific notation | 1.3064 × |
13064 in other forms
| Form | Value |
|---|---|
| In words | thirteen thousand and sixty-four |
| Binary (base 2) | 11001100001000 |
| Octal (base 8) | 31410 |
| Hexadecimal (base 16) | 3308 |
| Base 3 | 122220212 |
| As time | 13064 seconds = 3 h 37 min 44 s |
Is 13064 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (13064 ÷ 2 = 6532) | 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 (13064 ÷ 4 = 3266) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 4) | 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 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 | Yes (13064 ÷ 8 = 1633) | 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 4) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 7) | 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 13064 a prime number?
No. 13064 = × 23 × 71, so it is divisible by 2.
What are the factors of 13064?
1, 2, 4, 8, 23, 46, 71, 92, 142, 184, 284, 568, 1633, 3266, 6532, 13064.
What is 13064 in binary?
11001100001000 (hexadecimal 3308, octal 31410).
What is the square root of 13064?
About 114.2979, exactly 2√3266.
Is 13064 divisible by 3?
No. Its digits add up to 14, which is not a multiple of 3.
What is special about the number 13064?
It is a composite number with 16 divisors.