The number 13264
13264 is a composite number with 10 divisors. Its prime factorisation is × 829. Divisors (10): 1, 2, 4, 8, 16, 829, 1658, 3316, 6632, 13264.
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How to work it out
- 1
What is special about 13264: a Harshad number: divisible by its digit sum 16.
- 2
13264 is composite. Its prime factorisation is
- 3
The divisors add up to 25730; without 13264 itself that is 12466, so 13264 is deficient (12466 is less than 13264). Euler's totient φ(13264) = 6624 numbers up to 13264 share no factor with it.
- 4
The digits of 13264 add up to 16, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 94 steps to reach 1.
LaTeX source of the formulas on this page
\[ 13264 = 2^{4} \times 829 \]13264 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 10 |
| Sum of divisors | 25730 |
| Euler totient φ(n) | 6624 |
| Square | 175933696 |
| Cube | 2333584543744 |
| Square root | 115.169440 (= 4√829) |
| Digit sum / digital root | 16 / 7 |
| Collatz steps to 1 | 94 |
| Scientific notation | 1.3264 × |
13264 in other forms
| Form | Value |
|---|---|
| In words | thirteen thousand two hundred and sixty-four |
| Binary (base 2) | 11001111010000 |
| Octal (base 8) | 31720 |
| Hexadecimal (base 16) | 33D0 |
| Base 3 | 200012021 |
| As time | 13264 seconds = 3 h 41 min 4 s |
Is 13264 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (13264 ÷ 2 = 6632) | 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 (13264 ÷ 4 = 3316) | 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 4) | 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 | Yes (13264 ÷ 8 = 1658) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 7) | 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 9) | 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 13264 a prime number?
No. 13264 = × 829, so it is divisible by 2.
What are the factors of 13264?
1, 2, 4, 8, 16, 829, 1658, 3316, 6632, 13264.
What is 13264 in binary?
11001111010000 (hexadecimal 33D0, octal 31720).
What is the square root of 13264?
About 115.1694, exactly 4√829.
Is 13264 divisible by 3?
No. Its digits add up to 16, which is not a multiple of 3.
What is special about the number 13264?
13264 is a Harshad number: divisible by its digit sum 16.