The number 3381
3381 is a composite number with 12 divisors. Its prime factorisation is 3 × × 23. Divisors (12): 1, 3, 7, 21, 23, 49, 69, 147, 161, 483, 1127, 3381.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
3381 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
3381 is composite. Its prime factorisation is
- 3
The divisors add up to 5472; without 3381 itself that is 2091, so 3381 is deficient (2091 is less than 3381). Euler's totient φ(3381) = 1848 numbers up to 3381 share no factor with it.
- 4
The digits of 3381 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 43 steps to reach 1.
LaTeX source of the formulas on this page
\[ 3381 = 3 \times 7^{2} \times 23 \]3381 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 5472 |
| Euler totient φ(n) | 1848 |
| Square | 11431161 |
| Cube | 38648755341 |
| Square root | 58.146367 (= 7√69) |
| Digit sum / digital root | 15 / 6 |
| Collatz steps to 1 | 43 |
| Scientific notation | 3.381 × |
3381 in other forms
| Form | Value |
|---|---|
| In words | three thousand three hundred and eighty-one |
| Roman numerals | MMMCCCLXXXI |
| Binary (base 2) | 110100110101 |
| Octal (base 8) | 6465 |
| Hexadecimal (base 16) | D35 |
| Base 3 | 11122020 |
| As time | 3381 seconds = 56 min 21 s |
Is 3381 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 (3381 ÷ 3 = 1127) | 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 | Yes (3381 ÷ 7 = 483) | 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 5) | 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 1) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 4) | 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 3381 a prime number?
No. 3381 = 3 × × 23, so it is divisible by 3.
What are the factors of 3381?
1, 3, 7, 21, 23, 49, 69, 147, 161, 483, 1127, 3381.
What is 3381 in binary?
110100110101 (hexadecimal D35, octal 6465).
What is the square root of 3381?
About 58.1464, exactly 7√69.
What is 3381 in Roman numerals?
MMMCCCLXXXI.
Is 3381 divisible by 3?
Yes. Its digits add up to 15, a multiple of 3.
What is special about the number 3381?
It is a composite number with 12 divisors.