The number 3441
3441 is a composite number with 8 divisors. Its prime factorisation is 3 × 31 × 37. Divisors (8): 1, 3, 31, 37, 93, 111, 1147, 3441.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
3441 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
3441 is composite. Its prime factorisation is
- 3
The divisors add up to 4864; without 3441 itself that is 1423, so 3441 is deficient (1423 is less than 3441). Euler's totient φ(3441) = 2160 numbers up to 3441 share no factor with it.
- 4
The digits of 3441 add up to 12, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 105 steps to reach 1.
LaTeX source of the formulas on this page
\[ 3441 = 3 \times 31 \times 37 \]
3441 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 4864 |
| Euler totient φ(n) | 2160 |
| Square | 11840481 |
| Cube | 40743095121 |
| Square root | 58.660038 |
| Digit sum / digital root | 12 / 3 |
| Collatz steps to 1 | 105 |
| Scientific notation | 3.441 × |
3441 in other forms
| Form | Value |
|---|---|
| In words | three thousand four hundred and forty-one |
| Roman numerals | MMMCDXLI |
| Binary (base 2) | 110101110001 |
| Octal (base 8) | 6561 |
| Hexadecimal (base 16) | D71 |
| Base 3 | 11201110 |
| As time | 3441 seconds = 57 min 21 s |
Is 3441 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | No (remainder 1) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (3441 ÷ 3 = 1147) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 1) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 1) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 3) | 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 1) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 3) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 1) | 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 9) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 3441 a prime number?
No. 3441 = 3 × 31 × 37, so it is divisible by 3.
What are the factors of 3441?
1, 3, 31, 37, 93, 111, 1147, 3441.
What is 3441 in binary?
110101110001 (hexadecimal D71, octal 6561).
What is the square root of 3441?
About 58.6600.
What is 3441 in Roman numerals?
MMMCDXLI.
Is 3441 divisible by 3?
Yes. Its digits add up to 12, a multiple of 3.
What is special about the number 3441?
It is a composite number with 8 divisors.