The number 13444
13444 is a composite number with 6 divisors. Its prime factorisation is × 3361. Divisors (6): 1, 2, 4, 3361, 6722, 13444.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
13444 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
13444 is composite. Its prime factorisation is
- 3
The divisors add up to 23534; without 13444 itself that is 10090, so 13444 is deficient (10090 is less than 13444). Euler's totient φ(13444) = 6720 numbers up to 13444 share no factor with it.
- 4
The digits of 13444 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 45 steps to reach 1.
LaTeX source of the formulas on this page
\[ 13444 = 2^{2} \times 3361 \]13444 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 6 |
| Sum of divisors | 23534 |
| Euler totient φ(n) | 6720 |
| Square | 180741136 |
| Cube | 2429883832384 |
| Square root | 115.948264 (= 2√3361) |
| Digit sum / digital root | 16 / 7 |
| Collatz steps to 1 | 45 |
| Scientific notation | 1.3444 × |
13444 in other forms
| Form | Value |
|---|---|
| In words | thirteen thousand four hundred and forty-four |
| Binary (base 2) | 11010010000100 |
| Octal (base 8) | 32204 |
| Hexadecimal (base 16) | 3484 |
| Base 3 | 200102221 |
| As time | 13444 seconds = 3 h 44 min 4 s |
Is 13444 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (13444 ÷ 2 = 6722) | 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 (13444 ÷ 4 = 3361) | 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 4) | 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 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 2) | 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 13444 a prime number?
No. 13444 = × 3361, so it is divisible by 2.
What are the factors of 13444?
1, 2, 4, 3361, 6722, 13444.
What is 13444 in binary?
11010010000100 (hexadecimal 3484, octal 32204).
What is the square root of 13444?
About 115.9483, exactly 2√3361.
Is 13444 divisible by 3?
No. Its digits add up to 16, which is not a multiple of 3.
What is special about the number 13444?
It is a composite number with 6 divisors.