The number 3444
3444 is a composite number with 24 divisors. Its prime factorisation is × 3 × 7 × 41. Divisors (24): 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 41, 42, 82, 84, 123, 164 … 3444.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
3444 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
3444 is composite. Its prime factorisation is
- 3
The divisors add up to 9408; without 3444 itself that is 5964, so 3444 is abundant (5964 is more than 3444). Euler's totient φ(3444) = 960 numbers up to 3444 share no factor with it.
- 4
The digits of 3444 add up to 15, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 105 steps to reach 1.
LaTeX source of the formulas on this page
\[ 3444 = 2^{2} \times 3 \times 7 \times 41 \]3444 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 9408 |
| Euler totient φ(n) | 960 |
| Square | 11861136 |
| Cube | 40849752384 |
| Square root | 58.685603 (= 2√861) |
| Digit sum / digital root | 15 / 6 |
| Collatz steps to 1 | 105 |
| Scientific notation | 3.444 × |
3444 in other forms
| Form | Value |
|---|---|
| In words | three thousand four hundred and forty-four |
| Roman numerals | MMMCDXLIV |
| Binary (base 2) | 110101110100 |
| Octal (base 8) | 6564 |
| Hexadecimal (base 16) | D74 |
| Base 3 | 11201120 |
| As time | 3444 seconds = 57 min 24 s |
Is 3444 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (3444 ÷ 2 = 1722) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (3444 ÷ 3 = 1148) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (3444 ÷ 4 = 861) | 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 | Yes (3444 ÷ 6 = 574) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (3444 ÷ 7 = 492) | 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 6) | 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 1) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (3444 ÷ 12 = 287) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 3444 a prime number?
No. 3444 = × 3 × 7 × 41, so it is divisible by 2.
What are the factors of 3444?
1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 41, 42, 82, 84, 123, 164, 246, 287, 492, 574, 861, 1148, 1722, 3444.
What is 3444 in binary?
110101110100 (hexadecimal D74, octal 6564).
What is the square root of 3444?
About 58.6856, exactly 2√861.
What is 3444 in Roman numerals?
MMMCDXLIV.
Is 3444 divisible by 3?
Yes. Its digits add up to 15, a multiple of 3.
What is special about the number 3444?
It is a composite number with 24 divisors.