The number 3344
3344 is a composite number with 20 divisors. Its prime factorisation is × 11 × 19. Divisors (20): 1, 2, 4, 8, 11, 16, 19, 22, 38, 44, 76, 88, 152, 176, 209, 304 … 3344.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
3344 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
3344 is composite. Its prime factorisation is
- 3
The divisors add up to 7440; without 3344 itself that is 4096, so 3344 is abundant (4096 is more than 3344). Euler's totient φ(3344) = 1440 numbers up to 3344 share no factor with it.
- 4
The digits of 3344 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 43 steps to reach 1.
LaTeX source of the formulas on this page
\[ 3344 = 2^{4} \times 11 \times 19 \]3344 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 20 |
| Sum of divisors | 7440 |
| Euler totient φ(n) | 1440 |
| Square | 11182336 |
| Cube | 37393731584 |
| Square root | 57.827329 (= 4√209) |
| Digit sum / digital root | 14 / 5 |
| Collatz steps to 1 | 43 |
| Scientific notation | 3.344 × |
3344 in other forms
| Form | Value |
|---|---|
| In words | three thousand three hundred and forty-four |
| Roman numerals | MMMCCCXLIV |
| Binary (base 2) | 110100010000 |
| Octal (base 8) | 6420 |
| Hexadecimal (base 16) | D10 |
| Base 3 | 11120212 |
| As time | 3344 seconds = 55 min 44 s |
Is 3344 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (3344 ÷ 2 = 1672) | 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 (3344 ÷ 4 = 836) | 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 5) | 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 (3344 ÷ 8 = 418) | 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 (3344 ÷ 11 = 304) | 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 3344 a prime number?
No. 3344 = × 11 × 19, so it is divisible by 2.
What are the factors of 3344?
1, 2, 4, 8, 11, 16, 19, 22, 38, 44, 76, 88, 152, 176, 209, 304, 418, 836, 1672, 3344.
What is 3344 in binary?
110100010000 (hexadecimal D10, octal 6420).
What is the square root of 3344?
About 57.8273, exactly 4√209.
What is 3344 in Roman numerals?
MMMCCCXLIV.
Is 3344 divisible by 3?
No. Its digits add up to 14, which is not a multiple of 3.
What is special about the number 3344?
It is a composite number with 20 divisors.