The number 13244
13244 is a composite number with 24 divisors. Its prime factorisation is × 7 × 11 × 43. Divisors (24): 1, 2, 4, 7, 11, 14, 22, 28, 43, 44, 77, 86, 154, 172, 301, 308 … 13244.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 13244: a Harshad number: divisible by its digit sum 14.
- 2
13244 is composite. Its prime factorisation is
- 3
The divisors add up to 29568; without 13244 itself that is 16324, so 13244 is abundant (16324 is more than 13244). Euler's totient φ(13244) = 5040 numbers up to 13244 share no factor with it.
- 4
The digits of 13244 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 169 steps to reach 1.
LaTeX source of the formulas on this page
\[ 13244 = 2^{2} \times 7 \times 11 \times 43 \]13244 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 29568 |
| Euler totient φ(n) | 5040 |
| Square | 175403536 |
| Cube | 2323044430784 |
| Square root | 115.082579 (= 2√3311) |
| Digit sum / digital root | 14 / 5 |
| Collatz steps to 1 | 169 |
| Scientific notation | 1.3244 × |
13244 in other forms
| Form | Value |
|---|---|
| In words | thirteen thousand two hundred and forty-four |
| Binary (base 2) | 11001110111100 |
| Octal (base 8) | 31674 |
| Hexadecimal (base 16) | 33BC |
| Base 3 | 200011112 |
| As time | 13244 seconds = 3 h 40 min 44 s |
Is 13244 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (13244 ÷ 2 = 6622) | 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 (13244 ÷ 4 = 3311) | 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 | Yes (13244 ÷ 7 = 1892) | 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 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 | Yes (13244 ÷ 11 = 1204) | 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 13244 a prime number?
No. 13244 = × 7 × 11 × 43, so it is divisible by 2.
What are the factors of 13244?
1, 2, 4, 7, 11, 14, 22, 28, 43, 44, 77, 86, 154, 172, 301, 308, 473, 602, 946, 1204, 1892, 3311, 6622, 13244.
What is 13244 in binary?
11001110111100 (hexadecimal 33BC, octal 31674).
What is the square root of 13244?
About 115.0826, exactly 2√3311.
Is 13244 divisible by 3?
No. Its digits add up to 14, which is not a multiple of 3.
What is special about the number 13244?
13244 is a Harshad number: divisible by its digit sum 14.