The number 3362
3362 is a composite number with 6 divisors. Its prime factorisation is 2 Ć . Divisors (6): 1, 2, 41, 82, 1681, 3362.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
3362 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
3362 is composite. Its prime factorisation is
- 3
The divisors add up to 5169; without 3362 itself that is 1807, so 3362 is deficient (1807 is less than 3362). Euler's totient Ļ(3362) = 1640 numbers up to 3362 share no factor with it.
- 4
The digits of 3362 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
\[ 3362 = 2 \times 41^{2} \]3362 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 6 |
| Sum of divisors | 5169 |
| Euler totient Ļ(n) | 1640 |
| Square | 11303044 |
| Cube | 38000833928 |
| Square root | 57.982756 (= 41ā2) |
| Digit sum / digital root | 14 / 5 |
| Collatz steps to 1 | 43 |
| Scientific notation | 3.362 Ć |
3362 in other forms
| Form | Value |
|---|---|
| In words | three thousand three hundred and sixty-two |
| Roman numerals | MMMCCCLXII |
| Binary (base 2) | 110100100010 |
| Octal (base 8) | 6442 |
| Hexadecimal (base 16) | D22 |
| Base 3 | 11121112 |
| As time | 3362 seconds = 56 min 2 s |
Is 3362 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (3362 Ć· 2 = 1681) | 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 | No (remainder 2) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 2) | 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 2) | 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 2) | 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 2) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 7) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 2) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 3362 a prime number?
No. 3362 = 2 Ć , so it is divisible by 2.
What are the factors of 3362?
1, 2, 41, 82, 1681, 3362.
What is 3362 in binary?
110100100010 (hexadecimal D22, octal 6442).
What is the square root of 3362?
About 57.9828, exactly 41ā2.
What is 3362 in Roman numerals?
MMMCCCLXII.
Is 3362 divisible by 3?
No. Its digits add up to 14, which is not a multiple of 3.
What is special about the number 3362?
It is a composite number with 6 divisors.